Answer:
Line QR = line BC
Step-by-step explanation:
To prove congruency using the SAS theorem, (SAS = Side Angle Side)
You obviously need 2 sides and 1 angle.
BUT
The ONE angle has to be right between the TWO sides, hence the name: side ANGLE side.
So coming to your problem:
We know angle Q = angle B. And QS=BD
We need one more SIDE. Pick side QR in triangle RQS. Is angle Q in the middle of QR and QS?
Yes it is!
Now find the corresponding side in the other triangle to QR. This is the shortest side, BC.
Check:
Is angle B in the middle of CB and BD?
Yes!!
So you can prove the congruency of these two triangle using the SAS theorem if you know that BC = QR. That’s your answer.
Hope this helped!!!!!
PS let me know if it’s correct!
