Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. How can Han fix his proof?   Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent. Side DB is congruent to side BD because they're the same segment. Angle A is congruent to angle C because they're both right angles. By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB.
Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. How can Han fix his proof?   Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent. Side DB is congruent to side BD because they're the same segment. Angle A is congruent to angle C because they're both right angles. By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. How can Han fix his proof?


Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Side DB is congruent to side BD because they're the same segment.
Angle A is congruent to angle C because they're both right angles.
By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB.
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