Question

I'm rather uncertain. Can someone please check my answer??

Based on the given information in the figure at the right, how can you justify that angle ABC is congruent to angle CDA?

Diagram will be in the comments. Please wait a few moments.

Options:
ASA Postulate
SSS Postulate
AAS Postulate
SAS Postulate

I'm torn between AAS and SAS.

Answer 1

Those little marks on sides BC and AD mean that those line segments are congruent
Also, AC is congruent to itself

the marks at angle CAD and ACB mean those angles are congruent.
when you have (in order) Side Angle Side congruent in two different triangles, what postulate are you using to say the triangles are congruent?

Answer 2

I think that would be the CPCTC, correct?

Answer 3

@phi ?

Answer 4

you first use SAS to show the triangles are congruent. then use CPCTC to say that the angles you are interested in are congruent. Does that make sense?

Answer 5

By using the SAS Postulate to show that they are congruent; that would make all of the corresponding sides and angles congruent. Therefore, you would use the CPCTC then. I understand. :) Thank you!

Answer 6

Would you mind checking one more problem of mine?

Answer 7

did you post it?

Answer 8

Do you want me to post it in another thread?

Answer 9

yes please