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

How do you determine if two figures are similar?

Back

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

Front

What are corresponding angles?

Back

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

Front

What are corresponding sides?

Back

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

Front

If two triangles are similar, what can be said about their angles?

Back

If two triangles are similar, all three pairs of corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Front

What does it mean for sides to be proportional?

Back

Sides are proportional when the ratios of their lengths are equal.

Front

If two figures are similar, how do you find a missing side length?

Back

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

Front

True or False: In similar figures, corresponding sides must be equal in length.

Back

False. In similar figures, corresponding sides must be proportional, not necessarily equal.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.