how to prove that a quadrilateral is a rectangle using its diagonals?

Q: Prove ABCD is a parallelogram. Justify mathematically and explain.

A: Given vertices of quadrilateral are A(-1,3) B(3,2) C(2,-5) D(-2,-4) Prove ABCD is a parallelogram

Q: Find the values of x and y that make the quadrilateral a parallelogram. (4x+13) (4y + 7)° (3x-8)°…

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Q: Which best explains if quadrilateral WXYZ can be a parallelogram

A: Hope this example will help you(as the question is incomplete, I have taken my own example to…

Q: True or False: The diagonals in a rectangle create sets of isosceles triangles.

A: The diagonals of Rectangles are equal isosceles triangle is triangle with two side equal.

Q: Suppose Quadrilateral A(0, 5), B(0,0), C(-4, -1), & D(-4, 4). Circle ALL the types of quadrilaterals…

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Q: Draw the diagonal for the trapezoid below. 7+ 6 5 -7 -6 -5 4 -3 -2 -1 4 3 2 71 + -1 -2 3 -4 2 3 4 5…

A: We can find the length of the diagonals in the below steps.

Q: Show algebraically that quadrilateral WXYZ is a parallelogram. W(-5, -2), X(-3, 3), Y(3, 5), Z(1, 0)…

A: Distance formula: you can use this formula to find the distance between the two points.

Q: Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid…

A: A parallelogram is flat-shaped figure . It has four sides . The pair of opposite faces/sides of a…

Q: Is parallelogram ABCD shown below a rectangle? Why or why not?

A: A rectangle has all four angles equal to 90 degrees and two pairs of its sides are equal in length.…

Q: Select the most precise name for the quadrilateral with points A(0,4) B(4,2) C (1,-4) D(-3,2)

A: Given points: A(0,4) B(4,2) C (1,-4) and  D(-3,2) Apply the distance formula to find the length of…

Q: What is the best name for a quadrilateral at vertices (1, 4), (4, 0), (0, -3), and (-3, 1)? A.…

A: The coordinates of the quadrilateral are A(1, 4), B(4, 0), C(0, -3) and (D(-3, 1)

Q: The coordinates of quadrilateral MNOP are M (-1, -4), N (2, -2), O (5, -4), and P (2, -6). 10 8 2…

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Q: 4. The coordinates of quadrilateral KMHS are K (-5, 2), M (1,3), H (2, -3), and S (-4, -4). 10 2 -…

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Q: Which of the following statements must be true in order to prove that a quadrilateral is a…

A: There are main 4 properties of a parallelogram

Q: K. z,

A: We have a RHOMBUS RYZP  RK=5,RY=13 and ∠YRZ=67°we know that diagonals of rhombus intersects each…

Q: A B D C AC = BD AB//CD and AD//BC all angles are congruent angle A and angle C are both right angles

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Q: [A -9-8-7-6-5-4-3-2 B O (-4,-5) O (-14,-11) O(-12,-13) O (11,14) (-11,-14) D 2 3 -5 -6 -7 -8 -9 1

A: Point B , (-9,-8)

Q: What is the measure of ∠B if the measure of ∠A=82⁰ and quadrilaterals ABCD and AXYZ are…

A: The adjacent angles of a parallelogram are supplementary.

Q: 1. Pablo has drawn Parallelogram ABCD and its diagonals, AC and BD. Using Side-Side-Side, he has…

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Q: 3. The coordinates of quadrilateral PQRS are P (-6, -3), Q (3, 3), R (5,0), and S (-4, -6). 10 -2…

A: A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with any opposite…

Q: eometry > Quadrilateral WXYZ is a rhombus and m2XZY =x-32, Y 108 W

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