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 similar?

Back

Two figures are similar if they have the same shape, which means their corresponding angles are equal and the ratios of the lengths of their corresponding sides are constant.

Front

How do you find the missing side of similar figures?

Back

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

Front

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

Back

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

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 length of the corresponding side in the second rectangle is 10 cm.

Front

How do you set up a proportion to solve for a missing side in similar figures?

Back

Set up a proportion by equating the ratios of the lengths of corresponding sides of the figures.

Front

If two similar figures have a scale factor of 2:3, and one side of the smaller figure is 4 cm, what is the corresponding side of the larger figure?

Back

The corresponding side of the larger figure is 6 cm.

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.