Question

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

Answer 1

Since ABCD is a rectangle, from the definition of a rectangle, AD is congruent to BC; <ADC and <BCD are right angles.

Angle ADC and <BCD are right angles, from the reflexive property they are congruent.

Side DC = DC is congruent from the reflexive property.

From SAS, triangle ADC is congruent to triangle BCD.

AC is congruent to BD from the definition of congruent triangles (CPCTC).