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 the lengths of their corresponding sides are proportional.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

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

Back

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

Front

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

Back

The ratio of their sides is 1:2.

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 rectangles is 3:5, and the shorter side of the first rectangle is 6 cm, what is the length of the corresponding side in the second rectangle?

Back

The corresponding side in the second rectangle is 10 cm.

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply the terms in the proportion and then solve for the variable.

Front

If two similar figures have a scale factor of 2:3, and one side of the smaller figure is 12 cm, what is the corresponding side length in the larger figure?

Back

The corresponding side length in the larger figure is 18 cm.

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 side lengths.