Question

What additional piece of information would you need to use the Side-Angle-Side Triangle Congruence Postulate to prove that △RQP ≅ △SQP?

Answer 1

Answer:

$RQ = SQ$

Step-by-step explanation:

Given

△RQP ≅ △SQP

See attachment

Required

Additional information that shows that △RQP ≅ △SQP

△RQP and △SQP share a common side QP:

This implies that:

$QP = QP$ ---- Side (S)

△RQP ≅ △SQP implies that:

$\angle RQP = \angle SQP$ ---- Angle (A)

Lastly, we already established that △RQP and △SQP share a common side QP

Then remove point P, we have: RQ and SQ

This implies that:

$RQ = SQ$ --- Side (S)

Hence, the additional piece of information needed is: $RQ = SQ$