Question

Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures

Answer 1

Given: Rectangle ABCD

Prove: segment AC ≅ segment BD

Since ABCD is a rectangle, it is also a parallelogram.

Since ABCD is a parallelogram, segment AB ≅ segment DC because opposite sides of a parallelogram are congruent.

Explanation:

Answer 2

The attached figure reprsents a prove that a rectangle has congruent diagonals.

Given: rectangle ABCD

Prove: BD ≅ AC