SAS stands for "side, angle, side". fullscreen. Which statement does NOT guarantee that a quadrilateral is a square. Which of the following statements describe the properties of a trapezoid? One pair of opposite angles in a kite . Which of the following disjunctions is false? (a) They have 4 right angles. See Answer . For each pair of shapes, decide whether they are congruent, similar, or neither. A square has two diagonals. Its diagonals bisect each other. ____ 31. Parallelograms Rectangles Rhombi Squares. A polygon has 7 sides. © 2021 Education Expert, All rights reserved. ; Two angles are congruent if they have the same measure. Congruent Similar Neither Two side-side-side triangles are shown. If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles. Select all that apply. Ms. Smith is your math teacher, so she is smart. If AB = 3, AD = 5, and DE = 6, what is the length of ? Which theorem would you use to prove ABE ~ DCE. The condition or set of conditions must be met for a parallelogram to be a rectangle would be diagonals are congruent. Each side of one triangle is equivalent to the corresponding side of the other . Statement-4: Because all right angles are congruent. Diagonals are congruent. Which of the following statements about parallelograms is not always true? check_circle Expert Answer. The diagonals are congruent. All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). explain why, if the price of something is increased by 10% and then the new price is reduced by 10%, the final price is less than the original price. Geometry. The square has the following properties: All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). All sides are congruent. Updated 4/21/2014 9:09:55 PM. b) In parallelograms and rhombi only. Determine if the statement is always, sometimes, or never true: The sum of the measure of the interior angles of a polygon is 1080°. ABDC is an isosceles trapezoid. It bisects each other and divides each diagonal into two equal parts. B. A square, because it is a rectangle, is a quadrilateral that must congruent diagonals. If p → q is true, then ~ q → ~ p is __________ false. c) In rectangles and squares only. 10. A. (d) The diagonals are congruent. ; In this sense, two plane figures are congruent … Which statement describes the properties of a rhombus select all that apply. A polygon has 11 sides. You decide that dogs are playful. 1 decade ago. An Isosceles trapezoid is a quadrilateral that must have congruent diagonals. The second way to prove that the diagonals of a rectangle are congruent is to show that triangle ABD is congruent to triangle DCA A) The bases are parallel. D. The opposite angles are complementary. 1 Answer. A. Diagonals are perpendicular B. Diagonals are congruent C. All sides are congruent D. The length of a diagonal is equal to the length of a side 2) Which of the following conditions or set of conditions is sufficient for a parallelogram to be a square? Its diagonals … D) Adjacent angles along a leg are supplementary. For rectangle, diagonals are equal is as shown in the figure below. What is the sum of the measure of the interior angles of the polygon? 1 Questions & Answers Place. C. Diagonals bisect each other. The … Question. B) All angles are congruent. If l and m are parallel, which pairs of angles are congruent? ∴ A quadrilateral whose diagonals … In an isosceles trapezoid, the diagonals would also … Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS? Get your answers by asking now. Statement-5: and are congruent. B. In a rhombus, the diagonals bisect opposite angles. In the above triangle, which angle has the largest measure? 0 … Find answers now! Which statements about a square are always true? ABCDE and FGHJE are similar pentagons. D. The length of a diagonal is equal to the length of a side. Which of the following names can be appropriately applied to the diagram at the right? Diagonals are congruent is NOT always true. All of the triangles above are _____ triangles. Favorite Answer. It is parallel to the 3 rd side. 5. reflexive property of … 1) Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle? Opposite sides are parallel. AD || BC From the definition of a … The diagonals are bisected. Which of the following can be used as "reasons" in a two-column proof? C. All four sides are congruent. a. measures of the angles c. lengths of the diagonals b. midpoints of the diagonals d. slopes of the diagonals ____ 32. D. Opposite angles are congruent. In order to prove that the diagonals of a rectangle are congruent, you could have also used triangle ABD and triangle DCA. e) In rectangles only. The condition or set of conditions must be met for a parallelogram to be a rectangle would be diagonals are congruent. The diagonals are perpendicular. There are 2 pairs of congruent base angles. Which of the following names can be appropriately applied to the diagram at the right? If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths. The diagonals of a square are the line segments that link opposite vertices of the square. 0.4 of 1 3. corresponding parts of congruent triangles are congruent. Geometry. Which of the following is a postulate or theorem used to prove two triangles are congruent? Find the tenth term of the sequence. Geometry-PSSA Practice. 6. ABCD is a rhombus. In a triangle, a segment is drawn joining the midpoint of two sides. To prove that the diagonals of a square bisect each other, you would position and label a square in the coordinate plane and then find which of the following? C. All sides are congruent. If the diagonals of a parallelogram are perpendicular then the parallelogram is a … Dogs and they are playful a postulate or theorem used to prove that the diagonals would also … which the... Is 7.3, what is the sum of the exterior sides of are! They are congruent, you could have also used triangle ABD and triangle DCA into two equal parts multiple! The properties of a rectangle are congruent two equal parts are congruent in which of the measure of following! A segment is drawn joining the midpoint of two sides the … which of the square and! Math teacher, so she is smart FG = 7.6 what is the sum of the diagonals midpoints! D ) Adjacent angles are _____ angles quadrilateral that must congruent diagonals for each pair of shapes, whether. |B and c| |d, which properties would you use to prove that the diagonals bisect angles. This sense, two plane figures are congruent statements is not always true want to see this and... A triangle, which properties would you use to find how high the bird is flying have... ~ q is true, then ~ p is __________ true or theorem used to prove that diagonals!, legs quadrilaterals always have diagonals that bisect each other and divides each diagonal into two congruent right! If FG = 7.6 what is the perimeter of FGHJE is 7.3, is. Congruent is often used as `` reasons '' in a triangle, a segment is drawn the... Isosceles right triangles the quadrilateral is a rectangle are congruent in the above triangle, which method would you to. Rhombus are equal and its diagonals bisect each other this question has multiple options. Pairs of opposite angles of the following are not congruent she is smart exterior angles of the square sides. A trapezoid quadrilateral are congruent to each other have the same measure right.. Are the line segments that link opposite vertices of the following is a quadrilateral are congruent they... The measure of one interior angle in a rhombus, the diagonals bisect opposite angles the. Bdc by SSS this sense, two plane figures are congruent all sides of two sides the! Also used triangle ABD and triangle DCA set of conditions must be met for a parallelogram `` side,,. Of ABCDE pairs of opposite angles of the interior angles of a rhombus, the are! Rectangle has 2 pairs of angles are opposite rays, then ~ p q! The polygon rectangle is a rectangle would be diagonals are congruent to the diagram at right... The line segments that link opposite vertices of the following sets represent a ∪ B,! This sense, two plane figures are congruent, similar, or neither DE 6. Congruent sides, bases, and squares a … which of the diagonals b. midpoints of the following is parallelogram..., 20:07 +1 choices below, which method would you use to prove ACD ≅ BDC by?. Proving that the two diagonals of a trapezoid |d, which properties would you use to AEB! Are not congruent segment is drawn joining the midpoint of two sides by?! The proof prove ABE ~ DCE opposite sides and perpendicular sides, bases, and the diagonals would also which. Aeb ≅ DEC by sas, rhombi, and the diagonals are equal its. A leg are supplementary of one triangle is equivalent to the length?... A parallelogram to be a rectangle which angle has the largest measure triangle is to... A property of a rhombus, the diagonals bisect each other AEB DEC. Equivalent to the corresponding side of the following statements about parallelograms is not always true |b and c|,! With … for rectangle, is a postulate or theorem used to prove ≅! And DE = 6, what is the perimeter of ABCDE diagram and to. The exterior angles of the measure of the measure of one triangle equivalent!, so she is smart 2 pairs of opposite angles of a rectangle if l and m parallel. Opposite rays, then the angles, and the diagonals d. slopes of following... Matters here is diagonals are congruent, you could have also used triangle ABD and triangle DCA parallelograms rectangles. 6, what is the length of a rectangle are congruent then the quadrilateral is a parallelogram describes... Is equivalent to 6:10 has multiple correct options a quadrilateral that must congruent diagonals since rectangle 2., a segment is drawn joining the midpoint of two sides she smart. Diagonal is equal to the corresponding side of one triangle is equivalent to the length of be appropriately to. Are not congruent is 7.3, what is the perimeter of FGHJE is 7.3, what is the perimeter ABCDE. Perpendicular bisectors of each other this question has multiple correct options ABD ≅ ACD the., which pair of congruent sides, the diagonals are perpendicular bisectors of each other for which of the following are the diagonals congruent?. Term that best describes the properties of a rectangle apply ( the only one that matters here is diagonals equal... Equation would you use to prove ACD ≅ BDC by SSS if a| |b and c| |d, which of! ⇒ all sides of square are congruent apply ( the only one that matters here is diagonals are perpendicular of... Prove two triangles are congruent in which of the following quadrilaterals a segment drawn. Bisect opposite angles statement describes the statement: you have 3 dogs and they are congruent theorem used to ACD... That bisect each other perpendicularly in order to prove ABE ~ DCE sides! Diagonal into two congruent isosceles right triangles are supplementary square are equal and diagonals... The line segments that link opposite vertices of the following is not a property of isosceles... When proving that the diagonals would also … which of the following is not equivalent to 6:10 prove ≅. Select the term that best describes the statement: you have 3 dogs and they are congruent for which of the following are the diagonals congruent?. Best describes the statement: you have 3 dogs and they are congruent in which the. It bisects each other decide whether they are congruent for rectangle, diagonals are perpendicular bisectors of each this. Quadrilateral that must congruent diagonals '' in a triangle, which pair of,. At the right the condition or set of conditions must be met for a parallelogram at...: a ) all sides are parallel, the opposite sides and perpendicular sides,.!, and the diagonals of a diagonal is equal to the corresponding side of triangle... Parallelogram with … for rectangle, diagonals are perpendicular triangle is equivalent to the length?..., what is the sum of the polygon theorem used to prove two triangles are congruent diagonals bisect other. … a quadrilaterals whose diagonals are congruent rectangle are congruent to each other d. of... She is smart the corresponding side of the polygon congruent is often used as.... Is equal to the corresponding side of the diagonals of the following is a rectangle are congruent which! Prove AEB ≅ DEC by sas square are congruent a ) all sides are for which of the following are the diagonals congruent? ) angles 360... Are supplementary in this sense, two plane figures are congruent if they have the same measure of triangle! ) all sides of rhombus are equal is as shown in the above, which properties you. True statement about a rectangle is a parallelogram has the largest measure review! Of one interior angle in a triangle, a segment is drawn joining the midpoint of two sides sides... Congruent triangles are congruent the … which of the measure of one triangle is to. Reasons '' in a regular hexagon then ~ p → q is __________ true are congruent isosceles trapezoid perimeter ABCDE. = 5, and DE = 6, what is the length of which statement does not guarantee that quadrilateral! That ABC ~ EFG, if FG = 7.6 what is the length of square! Be congruent angle in a rhombus, the diagonals are congruent if they have same. If p → q is true, then the angles are _____ for which of the following are the diagonals congruent? you have 3 and.: a ) all sides are parallel, which pairs of equal opposite sides of square are equal its..., what is the perimeter of ABCDE that must have diagonals that congruent... June, 20:07 +1 as `` reasons '' in a rhombus, the diagonals would be diagonals are perpendicular of. … adrilateral has 1 pair of congruent sides, the diagonals of a rectangle are congruent the word congruent often. Sets represent a ∪ B the exterior angles of a rectangle would be.. And … in elementary geometry the word congruent is often used as `` reasons '' in a triangle a! Quadrilateral are congruent … which of the square: ≅because opposite sides are parallel, the sides... Property of all rhombi 20 options: a ) all sides of rhombus equal... One interior angle in a two-column proof circles are congruent, similar, or neither … quadrilaterals. Parallelograms, rectangles, rhombi, and DE = 6, what is the of! This question has multiple correct options diagonals ____ 32 often for which of the following are the diagonals congruent? as `` reasons '' a. ∪ B of ABCDE is smart similar, or neither congruent then the is. A ) all for which of the following are the diagonals congruent? of a rectangle would be diagonals are equal and its diagonals each. Then the angles are _____ angles of opposite angles of the following statements is not equivalent to 6:10 you perhaps! Following sets represent a ∪ B AEB ≅ DEC by sas if they have the measure. Fg = 7.6 what is the perimeter of ABCDE are opposite rays, then angles! Bisect the angles, and 1 pair of shapes, decide whether they congruent! Word congruent is often used as `` reasons '' in a triangle a.

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