By AAS congruence theorem, ΔABD is congruent ΔCDB.
Quadrilateral ABCD is given in the figure.
<h3>What is the congruence theorem?</h3>
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.
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