56.5k views
5 votes
A B C D Given that ABCD and AD - CB, how can you prove that A ABD ACDB? (G.6)(1 point) O A. Side-Side-Angle (SSA) O B. Angle-Side-Angle (ASA) C. Side-Side-Side (SSS) O D. Side-Angle-Side (SAS)

User Zoia
by
4.9k points

1 Answer

3 votes

Answer

Option C is correct.

Side-Side-Side (SSS)

Step-by-step explanation

The key to proving that two triangles are similar or congruent is to prove that three of either side lengths or angles are congrunet, similar or the same.

For the figure given, we have already been told that

Side AB = Side CD

Side AD = Side CB

Since the two triangles share a similar side in BD, we can complete this by saying

Side BD = Side BD

Side AB = Side CD

Side AD = Side CB

Side BD = Side BD

So, three of the sides of the triangles are equal or congruent.

Hope this Helps!!!

User Mark Synowiec
by
5.9k points