Properties of Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

What is the ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is constant.

Front

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

Back

All corresponding angles are equal.

Front

How do you find the missing side length in similar figures?

Back

Use the proportion of the corresponding sides to set up a ratio and solve for the missing length.

Front

What does it mean if two figures are not similar?

Back

They do not have the same shape or their corresponding angles are not equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

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 the scale factor of two similar triangles is 4:5, and the length of one side of the smaller triangle is 10, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 12.5.

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.

Front

If the sides of two similar rectangles are in the ratio 3:4, what is the ratio of their areas?

Back

The ratio of their areas is 9:16.