In the figure below, both AC and EF are perpendiculars to DB. Also, AC = EF and AB = ED. Prove that B = D.

Asked by Topperlearning User | 19th Nov, 2013, 02:11: AM

Expert Answer:

Given : ACDB ; EFDB

AC = EF ; AB = ED.

To prove: B = D

Proof : AC = EF (given)

1 = 2 (perpendicular lines meet to form right angles)

Hyp AB = Hyp ED (given)

Thus, ABC EDF (By RHS congruence rule).

So, B = D (Corresponding parts of congruent triangles)

Answered by  | 19th Nov, 2013, 04:11: AM