Question

Given: MO → bisects ∠PMN and OM → bisects ∠PON. Prove: △PMO ≅ △NMO.

a) ASA Congruence
b) SAS Congruence
c) SSS Congruence
d) HL Congruence

Answer 1

To prove that △PMO ≅ △NMO, we can use the ASA Congruence criterion. We have congruent angles and a common side for both triangles.

Step-by-step explanation:

To prove that △PMO ≅ △NMO, we can use the ASA Congruence criterion, which stands for Angle-Side-Angle. In this case, we have the following congruent angles: ∠PMO ≅ ∠NMO (given that MO bisects both angles).

We also have the side MO in common for both triangles. Therefore, the ASA criterion is applicable, and we can conclude that △PMO ≅ △NMO.