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Which of the following triangles is congruent to triangle ABC if angle A = angle

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Question: Which of the following triangles is congruent to triangle ABC if angle A = angle D and side AB = side DE?

Options:

  1. Triangle DEF
  2. Triangle XYZ
  3. Triangle PQR
  4. Triangle LMN

Correct Answer: Triangle DEF

Solution:

By the Angle-Side-Angle (ASA) postulate, if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Which of the following triangles is congruent to triangle ABC if angle A = angle

Practice Questions

Q1
Which of the following triangles is congruent to triangle ABC if angle A = angle D and side AB = side DE?
  1. Triangle DEF
  2. Triangle XYZ
  3. Triangle PQR
  4. Triangle LMN

Questions & Step-by-Step Solutions

Which of the following triangles is congruent to triangle ABC if angle A = angle D and side AB = side DE?
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