Given the quadrilateral RSTU with vertices R(5, -3), 5(9, 0), 7(3, 8),and U(-l, 5). a. Show that RSTU is a rectangle.b. Use the distance formula to verify that the diagonals are congruent

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Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.

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Q: in the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

A: In the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

Q: Show that the diagonals of a parallelogram are perpendicular if and only if it is a rhombus, i.e.,…

A: please find the attached solution

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Q: Given parallelogram ABCD with vertices A(-3,1), B (2,6), C(9,5) and D(4,0) PROVE ABCD is a rhombus.

A: Given that: ABCD is a parallelogram with vertices A(-3,1), B (2,6), C(9,5) and D(4,0).

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A: radius congurent

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A: diagonals are ?

Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We can answer the question as below.

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Q: A parallelogram with congruent diagonals is a rectangle. O True O False

A: To explain the given statement

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A: Given : ABCD is a parallelogram              AB≅BC              AC⊥BD Prove : ABCD is a rhombus

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A: Given

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Q: In the coordinate plane, quadrilateral ABCD has vertices A(-2, 3), B(4, 5), C(10, -1), and D(8, -9).…

A: The mid-point joining the points x1,y1 and x2,y2 is represented as x1+x22,y1+y22.

Q: Prove: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

A: Statement: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

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A: Given :

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Q: Proof must be a paragraph proof   Thanks

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Q: Show that the quadrilateral with vertices P(1,2) Q(4,4), R(5,9), and S(2,7) is a parallellogram by…

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