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 are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position. For example, if two triangles are similar, the side lengths of one triangle correspond to the side lengths of the other.

Front

How do you find missing side lengths in similar figures?

Back

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

Front

If two triangles are similar and one side of the first triangle is 3 cm and the corresponding side of the second triangle is 9 cm, what is the scale factor?

Back

The scale factor is 3:1.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, 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 is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If the lengths of two corresponding sides of similar figures are 5 cm and 15 cm, what is the missing length if the other side of the first figure is 2 cm?

Back

The missing length is 6 cm.

Front

What does it mean if two figures are congruent?

Back

Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you determine if two triangles are similar?

Back

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