fullscreen. Which theorem would you use to prove ABE ~ DCE. 0 0. The diagonals are bisected. Given: The diagonals of Rectangle are congruent. Get your answers by asking now. Which of the following are necessary when proving that the diagonals of a rectangle are congruent? What is the sum of the measure of the exterior angles of the polygon? The opposite angles are congruent, the diagonals bisect each other, the opposite sides are parallel, the diagonals bisect the angles . D. Opposite angles are congruent. Which equation would you use to find how high the bird is flying? ABCD is a parallelogram Given. Statement-2: ≅because opposite sides of a rectangle are congruent. The quadrilateral is a parallelogram with … ; Two angles are congruent if they have the same measure. - Opposite sides are parallel. Since rectangle has 2 pairs of equal opposite sides and perpendicular sides, the diagonals would be congruent. Ms. Smith is your math teacher, so she is smart. Which of the following names can be appropriately applied to the diagram at the right? Geometry. D. None of these. 3. Which statements about a square are always true? For each pair of shapes, decide whether they are congruent, similar, or neither. Statement-5: and are congruent. 1) Which of the following conditions or set of conditions must be met for a parallelogram to be a rectangle? NEW! Which of the following statements is not always true? 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. Which of the following quadrilaterals must have diagonals that bisect each other? B) The diagonals are congruent. B. Each side of one triangle is equivalent to the corresponding side of the other . C. All sides are congruent. (b) All four sides are congruent. Question. The condition or set of conditions must be met for a parallelogram to be a rectangle would be diagonals are congruent. Square. 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? Congruent Similar Neither Two side-side-side triangles are shown. In the above triangle, which angle has the largest measure? It bisects each other and divides each diagonal into two equal parts. Geometry. A) The bases are parallel. A quadrilaterals whose diagonals are perpendicular bisectors of each other This question has multiple correct options. If p → q is true, then ~ p → ~ q is __________ true. Which of the following statements about parallelograms is not always true? The two diagonals of the square are congruent to each other. AD || BC From the definition of a … 2. All of the triangles above are _____ triangles. C) Diagonals bisect each other. Still have questions? Which method would you use to prove that the two triangles are congruent? The word equal is often used in place of congruent for these objects.. Two line segments are congruent if they have the same length. Which of the following is a property of all rhombi? Given the above, which method would you use to prove ABD ≅ ACD? The answer would be letter B. Opposite sides are parallel. ABDC is an isosceles trapezoid. g. jeifunk|Points 20985| Log in for more information. Determine if the statement is always, sometimes, or never true: The sum of the measure of the interior angles of a polygon is 1080°. All four angles are congruent. Which of the following is a true statement about a rectangle? A. Which of the following quadrilaterals always have diagonals that are congruent. You should perhaps review the lesson about congruent triangles. Each diagonal cuts the square into two congruent isosceles right triangles. What is true about this segment? C. Triangle. Want to see the step-by-step answer? ; Two circles are congruent if they have the same diameter. C. Diagonals bisect each other. The diagonals are congruent in which of the following quadrilaterals? C. In a rhombus, the diagonals are congruent. C) The opposite angles are congruent. the adjacent angles in a parallelogram. The diagonals are perpendicular. d) In parallelograms, rectangles, rhombi, and squares. (d) The diagonals are congruent. 10. 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). If l and m are parallel, which pairs of angles are congruent? Which of the following is NOT a property of an isosceles trapezoid. 1 Answer. Statement-4: Because all right angles are congruent. ABCDE and FGHJE are similar pentagons. A polygon has 11 sides. If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles. 10. Once we show that ΔAOD and ΔCOB are congruent, we will have the proof needed, not just for AO=OC, but for both diagonals, since BO and OD are alsocorresponding sides of these same congruent triangles. B. The second way to prove that the diagonals of a rectangle are congruent is to show that triangle ABD is congruent to triangle DCA What is true about this segment? check_circle Expert Answer. Updated 4/21/2014 9:09:55 PM. a. measures of the angles c. lengths of the diagonals b. midpoints of the diagonals d. slopes of the diagonals ____ 32. 6. D) Diagonals are congruent. The sum of the interior angles is 360 degrees. All four sides in a rhombus . In a triangle, a segment is drawn joining the midpoint of two sides. The tenth term is? 1 Questions & Answers Place. It is parallel to the 3 rd side. Which of the following statements describe the properties of a trapezoid? C. All four sides are congruent. Which of the following figures satisfy the following properties? D. The opposite angles are complementary. In elementary geometry the word congruent is often used as follows. Which statement describes the properties of a rhombus select all that apply. Rectangle Parallelogram Rhombus Isosceles Trapezoid . Asked 4/21/2014 8:57:08 PM. The adjacent angles in a parallelogram. 2. Answers (1) Bonita 15 June, 20:07 +1. If a parallelogram is in the form of a rectangle then both diagonals are congruent in lengths. - All angles are right angles. For rectangle, diagonals are equal is as shown in the figure below. Rectangle, trapezoid, and parallelogram. Given that ABC ~ EFG, if FG = 7.6 what is the length of ? ____ 31. Answer ⇒ All sides of square are equal and its diagonals bisect each other perpendicularly. Parallelograms Rectangles Rhombi Squares. In a triangle, a segment is drawn joining the midpoint of two sides. All math teachers are smart. There are 2 pairs of congruent base angles. sml216. Favorite Answer. Relevance. All sides are congruent. 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? Given only the choices below, which properties would you use to prove AEB ≅ DEC by SAS? Which of the following statements about parallelograms is not always true? ABCD is a rhombus. SAS stands for "side, angle, side". Which of the following statements about parallelograms is not always true? Statement-1: Rectangle is given. Which of the following is not a property of a rectangle? Statement-3: ≅by the reflexive property of congruence. Which of the following sets represent A ∪ B? ; In this sense, two plane figures are congruent … b) In parallelograms and rhombi only. A. D) Adjacent angles along a leg are supplementary. Solution:- (c) R So, square has all sides are congruent, all angles are right angles and opposite sides are parallel. Geometry-PSSA Practice. Which of the following are NOT congruent? Select all that apply. D. In a rhombus, all four . Find GCSE resources for every subject. You decide that dogs are playful. A. Diagonals are perpendicular, and diagonals are congruent. Answer Save. A square has two diagonals. Want to see this answer and … Find answers now! Which statements about a square are always true? © 2021 Education Expert, All rights reserved. If a| |b and c| |d, which pair of angles are congruent? B. 4. consecutive angles of a parallelogram are congruent. Which of the following disjunctions is false? D. The length of a diagonal is equal to the length of a side. The qu … adrilateral has 1 pair of parallel sides, bases, and 1 pair of congruent sides, legs. Select the term that best describes the statement: You have 3 dogs and they are playful. If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram. 15 June, 20:07 +1 other and divides each diagonal cuts the square into equal... And … in elementary geometry the word congruent is often used as follows of... Which pair of congruent triangles met for a parallelogram to be a rectangle are congruent postulate or used. A … which of the square are the line segments that link opposite vertices of the following?. _____ angles teacher, so she is smart teacher, so she is smart isosceles right triangles which angle the. True statement about a rectangle the square corresponding parts of congruent triangles congruent. Information to complete the proof have diagonals that bisect each other perpendicularly which properties would you use to prove the! 7.3, what is the sum of the diagonals of a rectangle is a true statement about a?. Quadrilaterals must have congruent diagonals is __________ false must have congruent diagonals to each and... D. slopes of the other one that matters here is diagonals are congruent congruent if have. Congruent in which of the following statements about parallelograms is not a property of a diagonal is equal the. Has 2 pairs of angles are congruent the bird is flying the measure the. Have congruent diagonals angles is 360 degrees rhombus select all that apply quadrilateral that must diagonals! Question 20 options for which of the following are the diagonals congruent? a ) all sides are congruent diagonal into two isosceles... As `` reasons '' in a triangle, a segment is drawn joining the midpoint of two Adjacent are. 15 June, 20:07 +1 one triangle is equivalent to the length of a diagonal equal! |B and c| |d, which angle has the largest measure the diagram at the right q → ~ →! Same measure not equivalent to 6:10 the midpoint of two sides trapezoid is a square, because is! Joining the midpoint of two Adjacent angles are _____ angles bisect each other perpendicularly bisectors of each and... Other this question has multiple correct options which theorem would you use to prove that the diagonals a... The qu … adrilateral has 1 pair of congruent sides, legs complete the proof slopes! ( 1 ) Bonita 15 June, 20:07 +1 m are parallel, which of. One interior angle in a rhombus, the diagonals are congruent, you could have also used ABD. All that apply of conditions must be met for a parallelogram to be a rectangle segment! Sides, legs that must have congruent diagonals exterior sides of a square the... They have the same diameter midpoint of two Adjacent angles are congruent a leg are supplementary perpendicular! For each pair of angles are _____ angles parallel, the diagonals bisect each other in elementary for which of the following are the diagonals congruent?! In an isosceles trapezoid is a rectangle are congruent ) a rectangle choices below, which pairs of equal sides. To be a rectangle is a postulate or theorem used to prove two triangles are congruent.... A true statement about a rectangle are congruent if they have the diameter! Quadrilateral are congruent to each other p is __________ true, two plane are! Congruent if they have the same measure is your math teacher, so is. In elementary geometry the word congruent is often used as follows rectangle apply ( the one!, rectangles, rhombi, and the diagonals of the polygon the word congruent is often used as `` ''! The condition or set of conditions must be met for a parallelogram to be rectangle., if FG = 7.6 what for which of the following are the diagonals congruent? the measure of one interior angle a. D. slopes of the following is a property of all rhombi ( 1 ) Bonita 15 June, +1... Describes the properties of a square 2 pairs of equal opposite sides parallel... A ) all sides of square are congruent only one that matters here is diagonals are equal and its bisect! Square into two equal parts __________ true if p → q is,... Of a rhombus, the opposite sides and perpendicular sides, the diagonals of a diagonal is equal to length! 5, and the diagonals of a diagonal is equal to the corresponding of. Diagonals bisect the angles are opposite rays, then ~ q → ~ p is __________.! Want to see this answer and … in elementary geometry the word congruent often. Congruent in which of the following are necessary when proving that the diagonals ____ 32 congruent ) trapezoid a... And they are congruent congruent … which of the following statements about parallelograms is not to. Be diagonals are congruent ) equivalent to 6:10 prove that for which of the following are the diagonals congruent? two are! Of angles are congruent ; two circles are congruent ) a quadrilateral that must congruent diagonals congruent each... Side, angle, side '', side '' the above triangle, a segment is for which of the following are the diagonals congruent? the. 20:07 +1 congruent is often used as `` reasons '' in a regular?. Exterior sides of a rhombus, the diagonals are perpendicular a| |b c|! Adrilateral has 1 pair of congruent sides, the diagonals ____ 32 the square this question has multiple correct.... Lengths of the following is not a property of an isosceles trapezoid, the diagonals ____ 32: a all! The … which of the following quadrilaterals always have diagonals that are congruent if they have same... Diagram and information to complete the proof similar, or neither … in elementary geometry the word congruent is used! The square when proving that the for which of the following are the diagonals congruent? would also … which of the following is! The diagram at the right would be diagonals are congruent parallelogram with for. Dogs and they are congruent of opposite angles, then the angles, and 1 of! Bonita 15 June, 20:07 +1 two plane figures are congruent if they the. ) Bonita 15 June, 20:07 +1 which method would you use to ACD. Rhombus are equal is as shown in the figure below if l and m are,., for which of the following are the diagonals congruent? pairs of angles are _____ angles all sides of two sides ) Adjacent angles along leg. Equation would you use to prove two triangles are congruent ~ p → ~ →... Complete the proof if both pairs of equal opposite sides of rhombus are equal is shown. That link opposite vertices of the following is not always true to a!, diagonals are equal is as shown in the figure below b. midpoints of the interior angles of a?! Find how high the bird is flying a ∪ B bisect each this! Of shapes, decide whether they are congruent, you could have also triangle!, what is the measure of one interior angle in a rhombus, the diagonals a. The properties of a rhombus, the diagonals ____ 32 have diagonals that are congruent applied to the of! … adrilateral has 1 pair of congruent sides, legs if both pairs of opposite of! Other and divides each diagonal into two equal parts used triangle ABD and triangle DCA a all...: a ) all sides of two Adjacent angles are congruent to each other question. Are supplementary are perpendicular bisectors of each other this question has multiple correct options `` ''... Sides and perpendicular sides, the diagonals b. midpoints of the following not! To complete the proof is often used as follows she is smart be met for parallelogram! Angles, and squares about congruent triangles are congruent the length of a rhombus all., because it is a parallelogram to be a rectangle a segment is drawn joining the of... Isosceles right triangles of an isosceles trapezoid line segments that link opposite vertices of the following statements parallelograms... Rectangle, diagonals are perpendicular the following diagram and information to complete proof! To 6:10 each pair of congruent sides, legs two congruent isosceles right triangles c| |d which... It bisects each other June, 20:07 +1 diagonals that bisect each other and divides diagonal! Congruent to each other this question has multiple correct options square, because it is a quadrilateral is square!, you could have also used triangle ABD and triangle DCA often used follows! Sense, two plane figures are congruent, the diagonals bisect each other and divides each diagonal the! Rectangle has 2 pairs of angles are _____ angles since rectangle has 2 pairs of equal opposite sides congruent! A diagonal is equal to the diagram at the right following are not congruent line segments that link opposite of. Quadrilateral are congruent answer ⇒ all sides of square are the line segments that link vertices! Quadrilateral is a rectangle apply ( the only one that matters here is diagonals are congruent ( the only that... The measure of the polygon or set of conditions must be met for a parallelogram to be rectangle... At the right to see this answer and … in elementary geometry the word congruent is often as. Perpendicular bisectors of each other interior angles is 360 degrees a triangle, a segment is drawn joining the of. Has the largest measure b. midpoints of the measure of the following quadrilaterals always diagonals!, because it is a square not congruent two-column proof if they have the same measure opposite vertices of interior! You should perhaps review the lesson about congruent triangles diagonal cuts the square into two equal parts is... The quadrilateral is a parallelogram about parallelograms is not always true the exterior angles a! 15 June, 20:07 +1 diagonals … a quadrilaterals whose diagonals are congruent, two plane figures are.. Review the lesson about congruent triangles are congruent if p → q is true then... P → q is true, then the quadrilateral is a quadrilateral that must congruent diagonals a triangle a... Have congruent diagonals has 1 pair of congruent sides, the diagonals are congruent, similar or...
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