8. Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC

Question

asked Jan 22, 2021 120k views

1 Answer

Johnmerm · Answer 1 · 2021-01-28T11:34:11+0000

Explanation:

Angle ADB = Angle CBD = 90° (given)

Side AB = Side DC (given)

Common side DB / BD

By HL congruence, triangles ABD and CDB are congruent.

Therefore Angle ABD = Angle CDB

=> Line AB is parallel to Line DC (Z angles)