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.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.