Proving Triangles Congruent: Explanation & Examples


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Which of the following theorems can be used to prove that two triangles are congruent?

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1. Which of the following theorems can only be used for right triangles?

2. If all three sides of one triangle are congruent to the sides of another triangle, which theorem can be used to prove that they are congruent?

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About This Quiz and Worksheet

Inside this combination of a quiz and worksheet, you can find questions about proving triangles to be congruent. Questions ask about theorems that can be used to prove the congruence of two triangles and how triangles fit into different theorems

Quiz and Worksheet Goals

Expect to find the topics mentioned below in the quiz questions:

  • A theorem for right triangles
  • The theorem used when all three sides are congruent between triangles
  • The ASA theorem
  • Other theorems used for congruence

Skills Practiced

  • Defining key concepts - ensure that you can properly explain the ASA theorem
  • Knowledge application - use what you know to answer questions about a theorem for right triangles
  • Information recall - remember what you have learned about when to use each of the theorems

Additional Learning

To discover more about congruence, open the lesson titled Proving Triangles Congruent: Explanation & Examples. There, you can check out the following additional material:

  • Similar triangles
  • Illustrations of theorems
  • When theorems do not fit