What theorem shows that TPN ≅ TQM? Triangles T Q M and T P N which share vertex T. Side T A in the first triangle is congruent to side T P in the second triangle. Side T M in the first triangle is congruent to side T N in the second. The angles at vertex T are vertical angles and are included between the two pairs of congruent sides.

Group of answer choices

AAS

ASA

SAS

SSS

Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

To find:

The theorem which shows that .

Solution:

In triangle TQM and TPN,

       [Given]

        [Given]

       [Given]

Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.

             [SAS]

Therefore, the correct option is C.

a and c

step-by-step explanation: