Question

can someone give me a brief explanation on this question? I’ve gotten answers but not explanations! Thank you so much. Happy holidays from my family to yours!

Answer 1

Answer:

The second answer choice.

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

We are given 1 corresponding congruent side, so if we are to use SAS to prove triangle congruency, we need the A (angle) and the other S (side).  Without every having to mark them, vertical angles are ALWAYS CONGRUENT!! That means that we do not have to have angle SRQ marked as congruent to angle CRA because they are vertical angles.  So now we have the SA part of SAS.  Keep in mind, that the A is INCLUDED between the sides, so the sides we are missing, 1 in each triangle (and they have to be corresponding to count) have to be right next to the angle.  That means that in order to prove congruency by SAS we need to have marked for us that side RS is congruent to side RC.  That would put the sides right next to each other with the angle in between them, which is what SAS requires.