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3 years ago

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

Mathematics

2 answers:

Virty [35]3 years ago

4 0

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

alekssr [168]3 years ago

3 0

Answer: $\triangle{XYZ}$

Step-by-step 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

$\triangle{XYZ}\cong\triangle{ABC}$

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