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If two triangles are congruent, which of the following must be true?

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Question: If two triangles are congruent, which of the following must be true?

Options:

  1. They have the same area
  2. They have the same perimeter
  3. Their corresponding sides are equal
  4. All of the above

Correct Answer: All of the above

Solution: 

If two triangles are congruent, all corresponding sides and angles are equal, which implies they have the same area and perimeter.

If two triangles are congruent, which of the following must be true?

Practice Questions

Q1
If two triangles are congruent, which of the following must be true?
  1. They have the same area
  2. They have the same perimeter
  3. Their corresponding sides are equal
  4. All of the above

Questions & Step-by-Step Solutions

If two triangles are congruent, which of the following must be true?
  • Congruent Triangles – Two triangles are congruent if all corresponding sides and angles are equal.
  • Properties of Congruence – Congruent triangles have the same area and perimeter due to equal corresponding sides.
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