Question

Solve the problems.

Answer 1

By AAS congruence theorem, ΔABD is congruent ΔCDB.

Quadrilateral ABCD is given in the figure.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given, AB║DC

Consider ΔABD and ΔCDB

m∠A=m∠C=90° (Given)

m∠ABD=m∠BDC (Alternate interior angles)

BD = BD (Common)

Using AAS congruence theorem, ΔABD ≅ ΔCDB

Hence, by AAS congruence theorem, ΔABD is congruent ΔCDB.

To learn more about the congruent theorem visit:

brainly.com/question/24033497.

#SPJ1