Question

Look at the figure. How can you prove the triangles are congruent?

A. ∆ABD ≅ ∆CDB by the SAS Postulate.


B, It is not possible to determine if the triangles are congruent.


C. ∆ABD ≅ ∆CDB by the SSS Postulate.

Answer 1

the answer is A

Explanation:

Answer 2

A. ∆ABD ≅ ∆CDB by the SAS Postulate.

Explanation:

You know lines AB and DC are congruent because of the lines on each. Additionally, angles B and D are congruent for the alternative interior angles rule and they also are marked as congruent in the image. Finally, DB is congruent to DB because of the reflexive property. So you have two sides and the included angle, this makes the SAS postulate true.