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

What does it mean for sides to be proportional in similar figures?

Back

Sides are proportional when the ratios of the lengths of corresponding sides of two similar figures are equal.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of two or more figures that are in the same relative position.

Front

What are corresponding angles?

Back

Corresponding angles are the angles in two or more figures that are in the same relative position.

Front

If two triangles are similar, what can we say about their angles?

Back

All corresponding angles in similar triangles are congruent (equal in measure).

Front

If triangle ABC is similar to triangle DEF, what can we say about the sides?

Back

The ratios of the lengths of corresponding sides are equal, i.e., AB/DE = BC/EF = AC/DF.

Front

How do you find a missing side in similar figures?

Back

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

Front

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

Back

True

Front

True or False: Sides in similar figures must be proportional.

Back

True

Front

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

Back

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