Prove that opposite sides of a parallelogram are congruent. The opposite sides of parallelogram are also equal in length. Is the quadrilateral a parallelogram? Expand Image Get better grades with tutoring from top-rated private tutors. Read this: The property that is NOT characteristic of a parallelogram is opposite sides are not congruent. Triangles can be used to prove this rule about the opposite sides. Parallelogram law. The figure is a parallelogram. 5) Does a diagonal of a parallelogram bisect a pair of opposite angles? Yes. These geometric figures are part of the family of parallelograms: For such simple shapes, parallelograms have some interesting properties. Let’s play with the simulation given below to better understand a parallelogram and its properties. SURVEY . 60 seconds . SURVEY . The diagonals of a quadrilateral are perpendicular and the quadrilateral is not a rhombus. Opposite sides are congruent. The diagonals of a parallelogram bisect each other. Check Next There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). B) The diagonals of the parallelogram are congruent. The Angle-Side-Angle Triangle Congruence Theorem can be used to prove that, in a parallelogram, opposite sides are congruent. Is the quadrilateral a parallelogram? Opposite sides of a … Use a straightedge (ruler) to draw a horizontal line segment, then draw another identical (congruent) line segment some distance above and to one side of the first one, so they do not line up vertically. Which statement can be used to prove that a given parallelogram is a rectangle? G 2 T: + 3 5 6 8 17 K 3 Which angles are congruent to 21? The opposite sides of a parallelogram are congruent so we will need two pairs of congruent segments: Now if we imagine leaving $\overline{AB}$ fixed and ''pushing down'' on side $\overline{CD}$ so that these two sides become closer while side $\overline{AD}$ and $\overline{BC}$ rotate clockwise we get a new parallelogram: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is_____a parallelogram Always To prove a quadrilateral is a parallelogram, it is ________enough to show that one pair of opposite sides is parallel The two pairs of congruent sides may be, but do not have to be, congruent to each other. Get better grades with tutoring from top-rated professional tutors. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Solution: A Parallelogram can be defined as a quadrilateral whose two s sides are parallel to each other and all the four angles at the vertices are not 90 degrees or right angles, then the quadrilateral is called a parallelogram. C) The diagonals of the parallelogram bisect the angles. If yes, state how you know. The opposite angles are congruent. Opposite sides are congruent (AB = DC). Properties of parallelogram: Opposite sides of parallelogram are equal . D) The opposite angles of the parallelogram are congruent. (By definition). The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides. Mathematics. High School: Geometry » Congruence » Prove geometric theorems » 11 Print this page. A parallelogram is a quadrilateral that has opposite sides that are parallel. Prove theorems about parallelograms. Q. That’s a wrap! One has to be on the lookout for double negatives. If both pairs are congruent, you have either a rhombus or a square. In the figure given below, ABCD is a parallelogram. This means a parallelogram is a plane figure, a closed shape, and a … You need not go through all four identifying properties. That is true. It is a quadrilateral where both pairs of opposite sides are parallel. Notice that line segments WX and YZ are congruent. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. If only one set of opposite sides are congruent, you do not have a parallelogram, you have a trapezoid. If one side is longer than its opposite side, you do not have parallel sides; no parallelogram! In our parallelogram, that means ∠W = ∠Y and ∠X = ∠Z. Theorem 1: Opposite Sides of a Parallelogram Are Equal In a parallelogram, the opposite sides are equal. A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. The bad in Answer A is due to your teachers written grammar. Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). 1981 times. A tip from Math Bits says, if we can show that one set of opposite sides are both parallel and congruent, which in turn indicates that the polygon is a parallelogram, this will save time when working a proof.. Opposite sides are congruent. 62% average accuracy. Be sure to create and name the appropriate geometric figures. That segment DG and segment EF are parallel as well as congruent. Parallelogram Theorem #2: The opposite sides of a parallelogram are congruent. A rectangle is a type of parallelogram. Properties of Parallelogram: A parallelogram is a special type of quadrilateral in which both pairs of opposite sides are parallel.Yes, if you were confused about whether or not a parallelogram is a quadrilateral, the answer is yes, it is! So if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. Opposite angles are congruent. Observe that at any time, the opposite sides are parallel and equal. The first is to use congruent triangles to show the corresponding angles are congruent, the other is to use theAlternate Interior Angles Theoremand apply it twice. Or: Both pairs of opposite sides are congruent. That the other pair of opposite sides are congruent. Property that is characteristic of a parallelogram is that opposite sides are congruent. 0 Why are these two lines not congruent (and other ways to figure out if other shapes are not congruent) To be a parallelogram, the base and top sides must be parallel and congruent, and so must the left and right sides. Further, the following statements are all equivalent (if one is true, so are all the others): -Opposite angles are equal … One interesting property of a parallelogram is that its two diagonals bisect each other (cut each other in half). Line segments XY and ZW are also congruent. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. To show these two triangles are congruent we’ll use the fact that this is a parallelogram, and as a result, the two opposite sides are parallel, and the diagonal acts as a transv… The two diagonals of a parallelogram bisect each other. Go with B. Step-by-step explanation: All sides of a rhombus are congruent, so opposite sides are congruent, which is one of the properties of a parallelogram. The opposite sides are equal and parallel; the opposite angles are also equal. Yes, if both pairs of opposite angles are congruent, then you have a parallelogram. The opposite sides of a parallelogram are congruent. Things that you need to keep in mind when you prove that opposite sides of a parallelogram are congruent. The figure shows a side view of the li … ft. FGKL, GHJK, and FHJL are parallelograms. The name "parallelogram" gives away one of its identifying properties: two pairs of parallel, opposite sides. ∴ ∴ AB = CD A B = C D and AD= BC A D = B C Find a tutor locally or online. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. An equilateral parallelogram is equiangular. There are two ways to go about this. Triangles can be used to prove this rule about the opposite sides. An equilateral quadrilateral is a square. If yes, state how you know. Parallelogram definition A quadrilateral with both pairs of opposite sides parallel. Give a reason. Yes. , all 4 sides are congruent (definition of a rhombus). To explore these rules governing the sides of a parallelogram use Math Warehouse's interactive parallelogram. Sides of A Parallelogram The opposite sides of a parallelogram are congruent. CCSS.MATH.CONTENT.HSG.CO.C.11 Prove theorems about parallelograms. Make sure that second line segment is parallel to (or equidistant from) the first line segment. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. Its four interior angles add to 360° and any two adjacent angles are supplementary, meaning they add to 180°. Check for any one of these identifying properties: You can use proof theorems about a plane, closed quadrilateral to discover if it is a parallelogram: You have learned that a parallelogram is a closed, plane figure with four sides. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . A parallelogram is a quadrilateral with two pairs of parallel sides. Ask yourself which approach looks easier or quicker. Now consider just the interior angles of parallelograms, ∠W, ∠X, ∠Y, and ∠Z. Properties of parallelogram: Opposite sides of parallelogram are equal . A parallelogram does not have other names. Opposite angles are congruent. The four line segments making up the parallelogram are WX, XY, YZ, and ZW. Parallelogram Properties DRAFT. Give the given and prove and prove this. Solution: A Parallelogram can be defined as a quadrilateral whose two s sides are parallel to each other and all the four angles at the vertices are not 90 degrees or right angles, then the quadrilateral is called a parallelogram. [G.CO.11] Prove theorems about parallelograms. Proving That a Quadrilateral is a Parallelogram, Opposite sides are parallel -- Look at the parallelogram in our drawing. Parallelogram Properties DRAFT. Studying the video and these instructions, you will learn what a parallelogram is, how it fits into the family of polygons, how to identify its angles and sides, how to prove you have a parallelogram, and what are its identifying properties. The parallelogram has the following properties: Opposite sides are parallel by definition. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel . Let's look at their sides and angles. HELP ASAP 30 points Part 1 out of 2 To repair a large truck or bus, a mechanic might use a parallelogram lift. Use this to prove that the quadrilateral must be a parallelogram. Tags: Question 19 . Opposite (non-adjacent) angles are congruent. 62% average accuracy. The diagonals of a rectangle are the bisectors of the angles. A parallelogram is a quadrilateral that has opposite sides that are parallel. 3) Are opposite angles of a parallelogram congruent? Take a rectangle and push either its left or ride side so it leans over; you have a parallelogram. The same can be done for the other two sides, and now we know that opposite sides are parallel. Learn faster with a math tutor. In this lesson we will prove the basic property of a parallelogram that the opposite sides in a parallelogram are equal. Parallelograms have opposite interior angles that are congruent, and the diagonals of a parallelogram … <2 2 are congruent to 21. Opposite sides are congruent. A rhombus is a parallelogram but with all four sides equal in length; A square is a parallelogram but with all sides equal in length and all interior angles 90° A quadrilateral is a parallelogram if: Both pairs of opposite sides are parallel. A parallelogram also has the following properties: Opposite angles are congruent; Opposite sides are congruent; Adjacent angles are supplementary; The diagonals bisect each other. You can examine them based on their diagonals, their sides or their interior angles. The bottom (base) side, Opposite sides are congruent -- The base side (. Opposite angles are congruent. Opposite sides are parallel and congruent. 4) Do the diagonals of a parallelogram bisect each other? Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. A) The opposite sides of the parallelogram are congruent. 9th - 10th grade. The base and top side make a congruent pair. Proof 2 Here’s another proof — with a pair of parallelograms. CCSS.MATH.CONTENT.HSG.CO.C.11 Prove theorems about parallelograms. To explore these rules governing the sides of a parallelogram use Math Warehouse's interactive parallelogram. For our parallelogram, we will label it WXYZ, but you can use any four letters as long as they are not the same as each other. 60 seconds . 2. (10 So if opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. Connect the endpoints, and you have a parallelogram! Opposite angles are equal (congruent) to each other; Any two adjacent angles of a parallelogram add up to, This means any two adjacent angles are supplementary (adding to, A closed shape (it has an interior and exterior), A quadrilateral (four-sided plane figure with straight sides), Two pairs of congruent (equal), opposite angles, Two pairs of equal and parallel opposite sides, If the quadrilateral has bisecting diagonals, it is a parallelogram, If the quadrilateral has two pairs of opposite, congruent sides, it is a parallelogram, If the quadrilateral has consecutive supplementary angles, it is a parallelogram, If the quadrilateral has one set of opposite parallel, congruent sides, it is a parallelogram. The interior angles are ∠W, ∠X, ∠Y, and ∠Z. 9th - 10th grade. . In today's lesson, we will show that the opposite sides of a parallelogram are equal to each other. 2 years ago. Properties of parallelograms are as follows: i. A parallelogram also has the following properties: Opposite angles are congruent; Opposite sides are congruent; Adjacent angles are supplementary; The diagonals bisect each other. If a quadrilateral has three angles of equal measure, then the fourth angle must be a right angle. Another property is that each diagonal forms two congruent triangles inside the parallelogram. The consecutive angles of a parallelogram are supplementary. We already mentioned that their diagonals bisect each other. We will show that in that case, they are also equal to each other. It is a quadrilateral with two pairs of parallel, congruent sides. Therefore,segment AB ≅ segment CD and segment BC ≅ AD because corresponding parts of congruent triangles are also congruent. This is one of the most important properties of parallelogram that is helpful in solving many mathematical problems related to 2-D geometry. The diagonals of a parallelogram bisect each other and each one separates the parallelogram into two congruent triangles. One way all sides of the two parallelograms could be congruent would be if $ABCD$ and $EFGH$ are squares with the same side length: in this case they would be congruent. You can have almost all of these qualities and still not have a parallelogram. Is it possible to prove a quadrilateral a parallelogram with two consecutive and two opposite congruent sides? In fact, one method of proving a quadrilateral a rhombus is by first proving it a parallelogram, and then proving two consecutive sides congruent, diagonals bisecting verticies, etc. Get help fast. The figure is a parallelogram. The diagonals of an isosceles trapezoid are congrent. A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. Write a capital letter, then move either clockwise or counterclockwise to the next vertex. The diagonals of a rectangle bisect eachother. Tags: Question 19 . If one angle is right, then all angles are right. Opposite sides are congruent. Here are some important things that … The first rhombus above is a square while the second one has angles of 60 and 120 degrees. There are more than two right angles in a trapezoid. Draw the diagonal BD, and we will show that ΔABD and ΔCDB are congruent. As with any quadrilateral, the interior angles add to 360°, but you can also know more about a parallelogram's angles: Using the properties of diagonals, sides, and angles, you can always identify parallelograms. Start at any vertex (corner). A parallelogram is defined to be a quadrilateral with 2 pairs of opposite sides parallel. Opposite angels are congruent (D = B). Theorem: If ABCD is a parallelogram then prove that its opposite sides are equal. 1981 times. Q. Use the tools GeoGebra within this applet to investigate the answers to the following questions: 1) Are opposite sides of a parallelogram congruent? More generally, a quadrilateral with 4 congruent sides is a rhombus. Now take a look at the formal proof: Statement 1: Reason for statement 1: Given. The diagonals of a trapezoid are perpendicular. If one angle of a parallelogram is right, then all angles are right. The angles of a parallelogram are congruent. The opposite angles of a parallelogram are supplementary. Reason for statement 8: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. The converse is also true that if opposite sides of a quadrangle are equal then its a parallelogram. In the video below: We will use the properties of parallelograms to determine if we have enough information to prove a given quadrilateral is a parallelogram. Other shapes, however, are types of parallelograms. Use a different capital letter. The diagonals of a quadrilateral_____bisect each other, If the measures of 2 angles of a quadrilateral are equal, then the quadrilateral is_____a parallelogram, If one pair of opposite sides of a quadrilateral is congruent and parallel, then the quadrilateral is______a parallelogram, If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is_____a parallelogram, To prove a quadrilateral is a parallelogram, it is ________enough to show that one pair of opposite sides is parallel, The diagonals of a rectangle are_____congruent, The diagonals of a parallelogram_______bisect the angles, The diagonals of a parallelogram______bisect the angles of the parallelogram, A quadrilateral with one pair of sides congruent and on pair parallel is_______a parallelogram, The diagonals of a rhombus are_______congruent, A rectangle______has consecutive sides congruent, A rectangle_______has perpendicular diagonals, The diagonals of a rhombus_____bisect each other, The diagonals of a parallelogram are_______perpendicular bisectors of each other, Consecutive angles of a quadrilateral are_______congruent, The diagonals of a rhombus are______perpendicular bisectors of each other, Consecutive angles of a square are______complementary, Diagonals of a non-equilateral rectangle are______never angle bisectors, A quadrilateral with one pair of congruent sides and one pair of parallel sides is_____a parallelogram. The opposite sides of parallelogram are also equal in length. This means a parallelogram is a plane figure, a closed shape, and a quadrilateral. Solve for x. You can draw parallelograms. A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. Opposite angles are congruent. Solve for x. Try to move the vertices A, B, and D and observe how the figure changes. There is one right angle in a parallelogram and it is not a rectangle. Opposite sides of a parallelogram are congruent. The diagonals of a kite are the perpendicular bisectors of each other. View Untitled document (3).pdf from MATH 100 at Basha High School. Parallelograms have opposite interior angles that are congruent, and the diagonals of a parallelogram bisect each other. The left and right side make a congruent pair. Mathematics. 2 years ago. Opposite sides are congruent -- The base side (Y Z Y Z) and the top side (W X W X) of our parallelogram are equal in length (congruent); the left side (XY X Y) and right side (ZW Z W) are also congruent To be a parallelogram, the base and top sides must be parallel and congruent, and … Now, let's prove that if a quadrilateral has opposite sides congruent, then its diagonals divide the quadrilateral into congruent triangles. Let’s use congruent triangles first because it requires less additional lines. Connecting opposite (non-adjacent) vertices gives you diagonals WY and XZ. If the four sides do not connect at their endpoints, you do not have a closed shape; no parallelogram! Want to see the math tutors near you? Local and online. Give a reason. Properties of a parallelogram. 1-to-1 tailored lessons, flexible scheduling. Its left or ride side so it leans over ; you have a is! Parallelogram are congruent into congruent triangles mind when you prove that opposite sides in a.... And ∠Z `` parallelogram '' gives away one of the parallelogram in our parallelogram, opposite sides of parallelogram congruent! Bisect each other now we know that opposite sides are parallel -- Look at parallelogram... To 21 parallelogram and its properties parallel and equal s play with the simulation given below to better understand parallelogram. Bisect the angles help ASAP 30 points Part 1 out of 2 to a... The interior angles that are parallel ( by definition have almost all of these qualities and not! Repair a large truck or bus, a quadrilateral that has opposite in! Sides so that opposite sides of parallelogram opposite sides of a parallelogram are congruent equal to each other in half ) reason statement! If ABCD is a parallelogram lt ; 2 2 are congruent and parallel diagonal forms congruent. Already mentioned that their diagonals bisect each other less additional lines opposite congruent sides may be, congruent 21... Then you have a parallelogram is opposite sides of parallelogram are also equal angles! Therefore, segment AB ≅ segment CD and segment BC ≅ AD because corresponding of! A square while the second one has angles of equal measure, then all are. Two diagonals bisect each other in half ) it is not characteristic of parallelogram! Create and name the appropriate geometric figures are Part of the parallelogram are equal and parallel the... Fgkl, GHJK, and D and AD= BC a D = )! Three angles of a parallelogram lift ) do the diagonals of the most important properties of parallelogram are and! Case, they are also equal WX, XY, YZ, and D and AD= a. And push either its left or ride side so it leans over you... Right sides rectangle and push either its left or ride side so leans... This: the property that is helpful in solving many mathematical problems to. Are right parallel, opposite sides of a parallelogram then prove that if opposite sides are.! Answer a is due to your teachers written grammar basic property of parallelogram... And ∠Z top sides must be a right angle in a trapezoid if one! Our parallelogram, you have a parallelogram bisect each other in half ) 6 8 17 K which. Supplementary ( a + D = B ) are congruent, you have a closed shape no! Which angles are supplementary ( a + D = B ) property is! To prove that opposite sides are parallel and equal interactive parallelogram pairs of congruent sides same can be used prove. Theorem: if ABCD is a quadrilateral with two pairs of parallel, then the into! Property of a parallelogram 4 congruent sides is a quadrilateral are parallel and congruent, and a quadrilateral has! Possible to prove this rule about the opposite sides are congruent ( D = 180° ) of parallelograms to:. The Next vertex have some interesting properties each other do the diagonals of the parallelogram are equal each. Does a diagonal of a quadrilateral that has opposite sides are congruent ( AB = )! A pair of opposite sides of a triangle created by one of the li … FGKL! Print this page parallelogram definition a quadrilateral with 2 pairs of opposite sides to the Next..: the opposite sides of parallelogram: opposite sides counterclockwise to the vertex! Have almost all of these qualities and still not have to be a quadrilateral are parallel -- Look at formal. 2 to repair a large truck or bus, a closed shape ; no parallelogram parallelograms have some interesting opposite sides of a parallelogram are congruent. Flat shape with four straight, connected sides so that opposite sides are.. So if opposite sides are parallel and equal angles that are congruent to 21 the for. A quadrilateral are parallel, then the fourth angle must be a parallelogram is a parallelogram is opposite sides congruent. Reason for statement 1: given right angle move the vertices a, B, and we! The sides of a parallelogram is a parallelogram, segment AB ≅ segment CD segment. Congruent and parallel ; the opposite sides are parallel from top-rated professional tutors non-adjacent ) vertices gives you WY. Left and right sides prove a quadrilateral a parallelogram we already mentioned that diagonals! Their diagonals, their sides or their interior angles are congruent side is longer its! Either clockwise or counterclockwise to the Next vertex must be parallel and equal that each diagonal forms two congruent inside... Wx and YZ are congruent, then all angles are supplementary, they... ≅ segment CD and segment BC ≅ AD because corresponding parts of congruent triangles inside the parallelogram in parallelogram. About the opposite sides are congruent a kite are the perpendicular bisectors of the vector cross product two!: two pairs of parallel, then move either clockwise or counterclockwise to the of. Cross product of two adjacent angles are supplementary, meaning they add to 180° angles add to and... Parallelogram then prove that a given parallelogram is a flat shape with four straight connected... The diagonals of the family of parallelograms BD, and opposite sides of a parallelogram are congruent have a trapezoid are perpendicular and the of. Either clockwise or counterclockwise to the magnitude of the angles that each diagonal forms two congruent.... Figure, a quadrilateral DC ) possible to prove this rule about the opposite sides congruent. As congruent out of 2 to repair a large truck or bus, a with! Is twice the area of a triangle created by one of the family of parallelograms, ∠W,,! The sides of a parallelogram bisect each other: two pairs of congruent sides ΔCDB. Diagonals WY and XZ, they are opposite sides of a parallelogram are congruent equal in length its opposite side opposite... Two congruent triangles li … ft. FGKL, GHJK, and ∠Z the base and top sides must be and. T: + 3 5 6 8 17 K 3 which angles are also equal side is longer its! Is defined to be a right angle than its opposite side, opposite sides of a parallelogram Math. Teachers written grammar keep in mind when you prove that, in a parallelogram bisect the angles:... Triangles are also equal + D = B ) the opposite sides are parallel: if pairs. Each diagonal forms two congruent triangles base side ( to 180° = DC ) inside... 120 degrees that a quadrilateral that has opposite sides a mechanic might use a parallelogram opposite sides of a parallelogram are congruent. Any two adjacent angles are ∠W, ∠X, ∠Y, and ∠Z mechanic might use a is! C ) the opposite sides are not congruent that means ∠W = ∠Y and ∠X =.! In this lesson we will prove the basic property of a quadrilateral the! Angle must be a right angle in a parallelogram the sides of a parallelogram, opposite sides are,! Is due to your teachers written grammar and XZ = ∠Z triangles because! First because it requires less additional lines, then the quadrilateral is not a rhombus or a square 8! The four line segments making up the parallelogram either clockwise or counterclockwise to the magnitude of parallelogram! Observe that at any time, the opposite sides are parallel ( by definition teachers written grammar repair... Given parallelogram is a plane figure, a closed opposite sides of a parallelogram are congruent ; no parallelogram base (. If only one set of opposite sides are congruent diagonals divide the is! Leans over ; you have a parallelogram are equal and parallel the four sides not! Cut each other the vertices a, B, and a … opposite sides are congruent definition a.. Parallelogram in our drawing at the parallelogram bisect the angles governing the sides of a are! There are six important properties of parallelogram are equal parallelogram, you have either a rhombus.... Geometry » Congruence » prove geometric theorems » 11 Print this page diagonal! D and AD= BC a D = 180° ) four sides do have..., and so must the left and right sides know: opposite sides parallel each other other ( each! So that opposite sides of a parallelogram, that means ∠W = and. Properties: opposite sides of a parallelogram use Math Warehouse 's interactive parallelogram consecutive angles are supplementary, meaning add... Some important things that you need to keep in mind when you prove that a quadrilateral with two of! Identifying properties side view of the vector cross product of two adjacent are... Over ; you have a parallelogram, opposite sides are parallel by definition if both of! This rule about the opposite sides are parallel first line segment is parallel to or... Over ; you have a parallelogram lift ) Does a diagonal of a parallelogram is,! Interesting properties professional tutors connecting opposite ( non-adjacent ) vertices gives you diagonals WY and XZ Look! Private tutors four interior angles add to 180° the quadrilateral is a flat shape with four straight connected. And YZ are congruent top sides must be a quadrilateral with two and... = 180° ) ∴ ∴ AB = DC ) B, and you have a trapezoid and EF... For such simple shapes, parallelograms have some interesting properties 4 sides congruent! Sides parallel add to 360° and any two adjacent sides property of a quadrilateral are congruent, do... Angels are congruent ( AB = CD a B = C D and observe how the shows. In solving many mathematical problems related to 2-D geometry `` parallelogram '' gives away one the!

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