Properties of Congruent and Similar Shapes


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question 1 of 3

If the two triangles pictured below are congruent, then which angles are the same?

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1. If the two triangles pictured below are similar, then what is x?

2. In the similar rectangles pictured below, what is y?

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About This Quiz & Worksheet

Congruence and similarity are important concepts in comparing shapes, and this quiz/worksheet combination will help you check your understanding of these two concepts. The practice questions on the quiz will test you on your understanding of congruence and similarity, as well as identifying angle measures and side lengths in congruent figures.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Angles in a congruent triangle
  • Properties of given shapes
  • Identifying angle measures and side lengths in congruent shapes

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw and retain the most important information on similarity and congruence in geometric shapes from the related lesson
  • Problem solving - use your acquired knowledge to solve practice problems involving congruent and similar shapes
  • Distinguishing differences - compare and contrast topics from the lesson, mainly similarity and congruence
  • Information recall - access the knowledge you've gained regarding angle measures and side lengths

Additional Learning

To learn more about this topic, review the accompanying lesson on the properties of congruent and similar shapes. This lesson covers the following objectives:

  • Discuss how to compare shapes
  • Define congruence
  • Understand how to find missing information in congruent shapes
  • Define similarity
  • Understand how to find missing information in similar shapes