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 proportional.

Front

True or False: All corresponding angles in similar figures are congruent.

Back

True

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two different figures.

Front

What are corresponding sides?

Back

Corresponding sides are sides that are in the same position in two different figures.

Front

If two figures are similar, what can be said about their side lengths?

Back

The side lengths of similar figures are proportional.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the relationship between the scale factor and similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor between two similar triangles is 2:1, what does this mean?

Back

It means that for every 2 units of length in the first triangle, there is 1 unit of length in the second triangle.

Front

What is the missing side if two similar triangles have sides of 6 and x, and the scale factor is 2:1?

Back

x = 3.

Front

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

Back

Triangle B will also have angles of 30°, 60°, and 90°.