Question

"Which triangle can be proven congruent to ABC using the ASA criterion?.

DEF. .
LMN. .
PQR. .
STU. .
XYZ. ."

Answer 1

ABC is congruent to XYZ using ASA since angle A is congruent with angle X, angle B is congruent with angle Y, and side AB is congruent with side XY

Answer 2

Answer:
`\triangle{XYZ}`

Explanation:

The ASA postulate of congruence says that two triangles are said to be congruent if two corresponding angles and the side in between are congruent.

When we look at
`\triangle{ABC}`, it can be seen that segment AB is the included side in between ∠A and ∠B.

The only triangle that has a segment with measure 5 lies between two corresponding congruent angles is
`\triangle{XYZ}`.

Hence, by ASA postulate

`\triangle{XYZ}\cong\triangle{ABC}`