Similar Figures Worksheets Printable

📆 Updated: 1 Jan 1970
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🔖 Category: Other

Are you in search of printable worksheets that focus on similar figures? Look no further! We have a wide range of worksheets available that will help reinforce the concept of similar figures for students in mathematics classes. With these worksheets, students will have the opportunity to practice identifying and comparing similar figures, as well as solving problems involving scale factors and proportions.



Table of Images 👆

  1. Similar Triangles and Polygons Worksheet
  2. Similar Figures Proportions Worksheet
  3. Congruent Triangles Worksheet
  4. Congruent and Similar Triangles Worksheet
  5. Congruent Shapes Worksheets 3rd Grade
  6. Diamond Shape Worksheets
  7. Similar and Congruent Figures Worksheet
  8. Congruent and Similar Polygons Worksheets
Similar Triangles and Polygons Worksheet
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Similar Figures Proportions Worksheet
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Congruent Triangles Worksheet
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Similar Figures Proportions Worksheet
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Congruent and Similar Triangles Worksheet
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Congruent Shapes Worksheets 3rd Grade
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Diamond Shape Worksheets
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Similar and Congruent Figures Worksheet
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Congruent and Similar Polygons Worksheets
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What is a similar figure?

A similar figure is a figure that has the same shape as another figure but can be a different size. This means that all corresponding angles are congruent, and all corresponding sides are in proportion to each other.

How do you determine if two figures are similar?

Two figures are considered similar if their corresponding angles are congruent and their corresponding sides are in proportion (that is, the ratio of the lengths of the corresponding sides is the same). In other words, if you can create one figure by enlarging or reducing the other figure by a certain scale factor while maintaining the same shape, then the figures are considered similar.

What are corresponding sides in similar figures?

Corresponding sides in similar figures are sides that are in the same proportional relationship to each other. This means that the lengths of the corresponding sides in similar figures are related by a constant ratio, known as the scale factor.

What are corresponding angles in similar figures?

Corresponding angles in similar figures are angles that occupy the same relative position in each of the figures. They are equal in measure and are found in similar shapes that have the same angles but different lengths. These angles are often used to show the similarity between two figures and can help in proving that two shapes are similar.

How do you find the scale factor between two similar figures?

To find the scale factor between two similar figures, you simply divide the length of a corresponding side on one figure by the length of the corresponding side on the other figure. This will give you the scale factor, which is a ratio of how much larger or smaller the second figure is compared to the first one, maintaining the same proportions.

How is the perimeter of a similar figure related to the original figure?

The perimeter of similar figures is directly proportional to the scale factor between the two figures. This means that if you increase the size of a figure by a certain scale factor, the perimeter will also increase by the same scale factor. Conversely, if you decrease the size of a figure by a certain scale factor, the perimeter will decrease by the same scale factor.

How is the area of a similar figure related to the original figure?

The area of a similar figure is related to the original figure by a scale factor squared. This means that if the sides of the similar figure are enlarged or reduced by a factor of k, then the area of the similar figure will be k^2 times the area of the original figure.

Can similar figures have different orientations?

Yes, similar figures can have different orientations. Similar figures maintain the same shape but can be rotated, reflected, or translated in relation to each other. As long as the angles and side lengths remain proportional, the figures are considered similar regardless of their orientations.

How can you use similar figures to solve real-life problems?

Similar figures can be used to solve real-life problems by applying the concept of proportions. By identifying corresponding sides or angles of similar figures, one can set up and solve ratios to find missing lengths or dimensions in a real-life scenario. For example, if two similar triangles represent a flagpole and its shadow, measuring the shadow's length allows one to calculate the height of the flagpole using the concept of similar figures and proportions. This method can be applied to various situations in fields such as architecture, engineering, and design to make accurate calculations and solve practical problems effectively.

Can all rectangles be considered similar figures?

Yes, all rectangles can be considered similar figures because they have the same shape, but possibly different sizes. Similar figures have the same shape and their corresponding angles are congruent, although their side lengths may be proportional or scaled differently.

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