Comparing Triangles with the Hinge Theorem


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question 1 of 3

Which of the following statements is true?

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1. Which of the following is the converse of the hinge theorem?

2. ΔABC and ΔDEF are shown in the image. AB is congruent to DE and BC is congruent to EF. ∠ABC has measure 54 degrees and ∠DEF has measure 78 degrees. Based on all of this information, which of the following statements is true?

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About This Quiz and Worksheet

The hinge theorem and its use in triangle comparison is the subject of this quiz and worksheet. Questions focus on the converse side of the theorem, along with practice questions involving given triangles and the application of the theorem.

Quiz and Worksheet Goals

You can check out the subjects listed below in the quiz questions:

  • A characteristic of the hinge theorem
  • The converse of the hinge theorem
  • Triangle congruence and the hinge theorem
  • Using the hinge theorem to compare triangles

Skills Practiced

  • Problem solving - use the hinge theorem to solve practice problems
  • Information recall - remember what you have learned about triangle congruence
  • Defining key concepts - ensure that you can name a characteristic about the hinge theorem

Additional Learning

For additional practice, go to the lesson titled Comparing Triangles with the Hinge Theorem. Inside, you can look into the subjects mentioned below:

  • Images of triangles to use in comparing the sides
  • Application of the theorem to real-life problems