Similarity Transformations in Corresponding Figures


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question 1 of 3

For two figures to be similar, what must all the corresponding angles be?

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1. For two figures to be similar, what must the corresponding sides be?

2. Two triangles are similar. The smaller triangle has angles that measure 30, 60, and 90. The larger triangle has two angles that measure 60 and 90. What must the third angle measure?

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About This Quiz & Worksheet

If you've ever built a model car, airplane or any other type of object, you've worked with similarity whether you realized it at the time or not. The car or airplane you built was similar in all but size to its real-life counterpart. Measure your understanding of this idea by using this pair of assessment tools.

Quiz & Worksheet Goals

This quiz/worksheet combo asks you questions about the following:

  • Requirements for two figures to be similar
  • What two corresponding figures' sides must be
  • How to tell when triangles and rectangles are similar

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Knowledge application - use your knowledge of angles and sides to determine similarity in two figures
  • Interpreting information - verify that you can read information about what constitutes similarity and how to identify it in the real world
  • Information recall - access the knowledge you've gained about triangles and rectangles to explain similarity in two corresponding shapes

Additional Learning

Read or view the lesson titled Similarity Transformations in Corresponding Figures for additional information. The lesson covers the following:

  • Definition and explanation of similarity, congruence and transformation
  • Illustration of what happens when a figure is rotated
  • Explanation of what is meant by reflection and translation of a figure