Similar Figures

Front

Define 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 is the ratio of similarity in similar figures?

Back

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

Front

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

Back

If two triangles are similar, their 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 similarity?

Back

The ratio of similarity is 1:2.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

If two figures are similar, how do their areas compare?

Back

The areas of two similar figures are in the ratio of the square of the lengths of their corresponding sides.

Front

Solve for x: If two similar triangles have sides of lengths 6 cm and x cm, and the ratio of their sides is 2:1, what is x?

Back

x = 3 cm.

Front

What is the relationship between the perimeters of similar figures?

Back

The perimeters of similar figures are in the same ratio as the lengths of their corresponding sides.

Front

If the length of a side of a smaller similar figure is 5 cm and the corresponding side of a larger figure is 15 cm, what is the scale factor?

Back

The scale factor is 3.

Front

If two similar rectangles have a length ratio of 4:5, what is the ratio of their widths?

Back

The ratio of their widths is also 4:5.