Based on the ASA Congruence Theorem, the two triangles that are congruent are: C. ΔMPQ and ΔRPO
Recall:
- For two triangles to be considered congruent by ASA Congruence Theorem, both triangles must have two pairs of congruent angles and a pair of included sides that are congruent.
In the diagram given:
∠MQP ≅ ∠ROP (a pair of congruent angles in ΔMPQ and ΔRPO).
∠MPQ ≅ ∠RPO because they are vertical angles (another pair of congruent angles in ΔMPQ and ΔRPO).
QP ≅ OP because MP bisects QO into equal segments (a pair of included congruent sides in ΔMPQ and ΔRPO)
Therefore, based on the ASA Congruence Theorem, the two triangles that are congruent are: C. ΔMPQ and ΔRPO
Learn more about ASA Congruence Theorem on:
https://brainly.com/question/2398724
