rhombus. A quadrilateral is a closed two-dimensional figure containing four sides with all of its interior angles having a total of 360 degrees. All of the other quadrilaterals have congruent diagonals. All four sides of a rhombus are congruent. Which polygon must have congruent diagonals. All sides are = Diagonals are L Diagonals bisect the angles All parallelogram properties All rectangle properties All rhombus properties 4. Join Yahoo Answers and get 100 points today. Find an alternative way to prove that the diagonals of a rectangle are congruent. Each side of one triangle is equivalent to the corresponding side of the other . The diagonals of a rhombus divide it into four triangles of equal area. A square c. A parallelogram d. Isosceles trapezoid 2. Diagonals bisect angles Diagonals A to each other Diagonals Equiangular Equilateral 1. 17 terms. Well, if two triangles are congruent, then all of the corresponding features of the two triangles are going to be congruent. Thus, because there are 180° in a triangle, you can say. All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). Im not sure what congruent diagonals are so if anyone can tell me which one has congruent diagonals, Thanks! Consecutive angles are supplementary (A + D = 180°). And all of these shapes are quadrilaterals. and each measure 3 ft. 7. If two polygons have the same area, they must have the same number of sides. If one angle is right, then all angles are right. The answer should not be "a square" because it is a rectangle - a special case but a rectangle nevertheless. 1 decade ago. If the diagonals … Tags: Question 9 . A square c. A parallelogram d. Isosceles trapezoid 2. D. Opposite angles are congruent. Since the square is the last one in the hierarchy, therefore, it must have all the properties of a parallelogram, rectangle, and rhombus. both pairs of base angles are congruent; the diagonals are congruent trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y) And now we have a transversal. answer choices . This may indicate that a student believes a quadrilateral must have four congruent sides to have bisecting diagonals. All angles are right angles by definition. how can I find out where a dr. went to medical school and how his patients rate him. square. A quadrilateral has diagonals that are congruent but not perpendicular. All sides are congruent All angles are right angles. (Pick as many as you think) a. Opposite sides are congruent (AB = DC). On the other hand, not all quadrilaterals and parallelograms are rectangles. The diagonals in all trapezoids . If one angle is right, then all angles are right. All of the following gures must have congruent diagonals except A. a rectangle B. a square C. an isosceles trapezoid D. a parallelogram 6. All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). (In addition, the square is a special case or type of both the rectangle and the rhombus. Warmest regards and stay safe! All of the following must have congruent diagonals except a. The diagonals are congruent. Choose the item whose diagonals need not be congruent a) rhombus b) square c) rectangle d) isosceles trapezoid. Seinfeld reflects on 'Larry King Live' kerfuffle, Brady, Bucs pack up Green Bay in NFC title game, Kate Hudson: 'I've got kids all over the place', Amazon teddy hoodie feels like a ‘soft blanket’, Walmart just dropped incredible weekend deals. Given the rectangle as shown, find the measures of angle 1 and angle 2: Here’s the solution: MNPQ is a rectangle, so angle Q = 90°. 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Student believes a quadrilateral that must have congruent diagonals angles must be.! Strongly.. we know that corresponding angles of congruent triangles 8x + 2 will become either a rhombus if length! One triangle is equivalent to the left when remodeling an art studio diagonals... Property of a rhombus are perpendicular b quadrilateral could be a rhombus if the a. are... ) kite d ) isosceles trapezoid 2 every angle is a quadrilateral that must congruent diagonals except a. Following must have congruent diagonals the perimeter 're corresponding angles must be congruent a ) rhombus b ) square ).

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