The following two-column proof with missing statement proves that the diagonals of the rectangle bisect each other Statement Reason ABCD is a rectangle. Given AB and CD are parallel. Definition of a Parallelogram AD and BC are parallel. Definition of a Parallelogram ZCAD LACB Alternate interior angles theorem Definition of a Parallelogram LADB LCBD Alternate interior angles theorem AADE ACBE Angle-Side-Angle (ASA) Postulate

Q: Step Statement Reason ABCD is a parallelogram AF FD Given ZFDA LEBC ZFAD E ZFDA In a triangle,…

A: According to the given data we have: ∠FDA≅∠EBC

Q: Theorem: If one pair of opposite sides of a quadrilateral are both parallel and congruent, the…

A: Given: In quadrilateral ABCD one pair of opposite sides are parallel and congruent, i.e.…

Q: Quadrilateral TUVW has vertices located at T(-5, -2), U(2, 1), V(0, −2), and W(-7,-5). Write a…

A: Given, a quadrilateral  with vertices located at  and .It is required to write a two-column proof to…

Q: sk 8: Complete the quadrilateral proof. A Given: AD II CB; LABD ZCDB. Prove: ABCD is a…

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Q: Special Parallelogram: RECTANGLE A Tectangle has all the properties of a parallelogram, plus four…

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Q: A quadrilateral has four congruent sides (s) and two pairs of congruent, opposite angles (20 and 2),…

A: Given that quadrilateral has four congruent sides (s) and two pairs of congruent, opposite angles…

Q: Prove that the angle sum of any quadrilateral is  (2*pi) Prove that the diagonals of a rhombus meet…

A: Statements:(1) The angle sum of any quadrilateral is (2*pi)(2) The diagonals of a rhombus meet at…

Q: Prove that the diagonals of a parallelogram bisect each other.

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Q: Write a two-column proof. Given: Trapezoid ABCD, A = ED and EC = BE Prove: Trapezoid ABCD is an…

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Q: 22. In parallelogram ABCD, E and F are the midpoints of AB and CD, respectively. Prove that AECF is…

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Q: Theorem. The diagonals of a rectangle bisect each other and have the same length.

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Q: Which statement does not necessarily prove the parallelogram below is a rhombus?

A: Given,