Question

What additional congruences are required to prove that ΔABC ≅ ΔPOR by SSS (Side-Side-Side) congruence?

Given:
AC = PR
AB = PQ
A
P
A. BC = OR
B. AB = BA
C. AC = PO
D. ∠AP

Answer 1

The additional congruence required to prove ΔABC ≅ ΔPOR by SSS congruence is that BC equals OR.

Step-by-step explanation:

To prove that ΔABC ≅ ΔPOR by the SSS congruence theorem, we need to establish that all three corresponding sides of the triangles are equal in length. Given that AC = PR and AB = PQ, we need to find the congruence of the third pair of corresponding sides to satisfy the requirements of SSS congruence. Therefore, the additional congruence required is:BC = OR