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.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: