Congruence Proofs: Corresponding Parts of Congruent Triangles

Instructions:

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question 1 of 3

If triangle ABD is congruent to triangle CDB, CPCTC explains which of the following statements?

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1. If triangle MNO is congruent to triangle PQR, CPCTC explains which of the following statements?

2. In the pictured triangles, what reason can we use to explain that angle QPR is congruent to angle SPT?

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About This Quiz & Worksheet

This quiz and corresponding worksheet assess your understanding of CPCTC, or corresponding parts of congruent triangles are congruent. Practice problems assess your knowledge of this geometric theorem as well as the application of given information to determine that triangles are congruent.

Quiz & Worksheet Goals

In this assessment you will be tested on your ability to explain how triangles are congruent by using:

  • CPCTC
  • Theorem expressions
  • Various angles

Skills Practiced

  • Making connections - use understanding of the concept CPCTC, or corresponding parts of congruent triangles are congruent
  • Problem solving - use acquired knowledge to determine triangle congruency and solve practice problems
  • Knowledge application - use your knowledge to answer questions about congruent triangles

Additional Learning

To learn more about congruency in triangles, review the accompanying lesson on Congruence Proofs: Corresponding Parts of Congruent Triangles. This lesson covers the following objectives:

  • Understand how triangles are congruent
  • Use given information about triangles to determine their congruency
  • Use CPCTC to explain matching triangle angles and sides
  • Apply CPCTC to mathematical proofs
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