Question

What is the missing statement in the proof? Scroll down to see the entire proof.

A) ∠BDC≅∠ADB

B) ∠BCA≅∠DCB

C) ∠BAC≅∠BAD

D) ∠DBC≅∠BAC


Prove: AB2 + BC2 = AC2

Statement


Reason

1. Draw BD¯¯¯¯¯⊥AC¯¯¯¯¯ (view diagram).


construction

2. ∠ABC≅∠BDC


Angles with the same measure are congruent.

3.


Reflexive Property of Congruence

4. ΔABC~ΔBDC


AA criterion for similarity

5. BCDC=ACBC


Corresponding sides of similar triangles are proportional.

6. BC2 = AC × DC


cross multiplication

7. ∠ABC≅∠ADB


Angles with the same measure are congruent.

8. ∠BAC≅∠DAB


Reflexive Property of Congruence

9. ΔABC~ΔADB


AA criterion for similarity

Answer 1

the proof is just to help with the answer

Answer 2

Not C