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If two triangles are similar, what is true about their corresponding angles?

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Question: If two triangles are similar, what is true about their corresponding angles?

Options:

  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are different

Correct Answer: They are equal

Solution:

In similar triangles, corresponding angles are equal.

If two triangles are similar, what is true about their corresponding angles?

Practice Questions

Q1
If two triangles are similar, what is true about their corresponding angles?
  1. They are equal
  2. They are supplementary
  3. They are complementary
  4. They are different

Questions & Step-by-Step Solutions

If two triangles are similar, what is true about their corresponding angles?
  • Step 1: Understand what similar triangles are. Similar triangles are triangles that have the same shape but may be different sizes.
  • Step 2: Identify what 'corresponding angles' means. Corresponding angles are the angles that are in the same position in each triangle.
  • Step 3: Know that in similar triangles, the angles are proportional. This means that the angles match up with each other.
  • Step 4: Conclude that if two triangles are similar, then each angle in one triangle is equal to the angle in the other triangle that is in the same position.
  • Similarity of Triangles – When two triangles are similar, their corresponding angles are equal, and their corresponding sides are in proportion.
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