Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If two similar triangles have sides in the ratio 2:3, what does this mean?

Back

This means that for every 2 units of length in one triangle, there are 3 units of length in the other triangle.

Front

How do you find the missing side of a similar figure?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

If Triangle A has sides of 4 ft and Triangle B has a corresponding side of 6 ft, what is the scale factor?

Back

The scale factor is 6/4 or 1.5.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

Front

If two similar figures have a scale factor of 1:4, what does this imply about their areas?

Back

The area of the larger figure is 16 times greater than the area of the smaller figure because area scales with the square of the scale factor.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are always equal.

Front

If one triangle has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of the similar triangle will also be 30°, 60°, and 90°.

Front

How can you determine if two figures are similar?

Back

You can determine if two figures are similar by checking if their corresponding angles are equal and their corresponding sides are in proportion.