Congruence & Similarity Worksheet: Similar Figures

Grades K-8 Worksheets

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Composing Shapes Worksheets
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1. Which of the following is not a characteristic of similar figures?

A. Proportional sides

B. Equal angle measurements

C. Same shape

D. Congruent side lengths

   D. Congruent side lengths   


2. Are the figures below similar? Explain.

two shapes

   The figures are not similar. They are not the same shape. One is a square and the other is a rectangle.    

3. Explain why figures A and B are similar.

two similar polygons

   These figures are similar because the sides are proportional. Figure A is three times greater than figure B.   
4. Which of the figures is similar to the one below?

a diamond


four random shapes
5. If the figures below are proportional, what is true about the angles of the smaller figure?

two similar triangles

   The angles are 60° because the triangles are similar. The triangles are similar because the sides are proportional and they are the same figure (equilateral triangle).   

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Related Resources

The various resources listed below are aligned to the same standard, (8G03) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.

Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.


Similarity, Congruence and Transformations


Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Understand congruence and similarity using physical models, transparencies, or geometry software