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 ratios of their corresponding sides are proportional.

Front

What is the criteria for two figures to be similar?

Back

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

Front

If a rectangle has a width of 18 in. and a length of 24 in., what is the length when the width is enlarged to 54 in.?

Back

72 in.

Front

What does it mean if two triangles are similar?

Back

If two triangles are similar, it means that their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

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.

Front

If two figures are similar and one side of the first figure is 4 cm while the corresponding side of the second figure is 12 cm, what is the scale factor?

Back

The scale factor is 3.

Front

What is the scale factor?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

Are the following figures similar? Why or why not?

Back

No, the ratios of the corresponding sides are not equal.

Front

If the corresponding angles of two polygons are congruent, what can be concluded about the polygons?

Back

The polygons are similar.

Front

Solve for x if the corresponding sides are in the ratio 2:3 and one side is 4 ft.

Back

x = 6 ft.