Question

In the next four questions, complete the proof of the converse of Theorem 37 (The diagonals of a rectangle are congruent.) by selecting the best reason or statement.

Answer 1

Explanation:

1) WXYZ is a rectangle 1. Given

2) ∠Z ≅ ∠Y 2. Definition of rectangle

3) WZ ≅ XY 3. Definition of rectangle

4) ZY ≅ ZY 4. Reflexive property

5) ΔWZY ≅ ΔXYZ 5. SAS

6) WY ≅ XZ 6. CPCT -Corresponding parts of congruent triangles

The diagonals of rectangle are congruent