Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but different sizes.

Front

True or False: Similar figures are the same shape and same size.

Back

False

Front

If Triangle ABC is similar to Triangle WYX, what can we say about their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

What is the scale factor in similar figures?

Back

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

Front

If Triangle A has sides of 4, 6, and 8, and Triangle B is similar to Triangle A with a scale factor of 2, what are the lengths of Triangle B's sides?

Back

The sides of Triangle B are 8, 12, and 16.

Front

How do you find a missing side in similar triangles?

Back

Set up a proportion using the ratios of the corresponding sides.

Front

If Triangle ABC is similar to Triangle XYZ and the length of side AB is 10 and side XY is 5, what is the scale factor?

Back

The scale factor is 1:2.

Front

True or False: The angles of similar figures are always equal.

Back

True

Front

If Triangle A has a side length of 12 and Triangle B has a corresponding side length of 6, what is the ratio of their sides?

Back

The ratio is 2:1.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.