Attributes of 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 is the property of corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

What is the property of corresponding sides in similar figures?

Back

In similar figures, the ratios of the lengths of corresponding sides are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

Front

How do you set up a proportion for similar figures?

Back

To set up a proportion for similar figures, match corresponding sides and write the ratios of their lengths as equal.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If two rectangles are similar, how do you find the length of an unknown side?

Back

Use the proportion of the lengths of corresponding sides to solve for the unknown side.

Front

What is the scale factor if triangle ABC has sides 5, 10, and 15, and triangle DEF has sides 10, 20, and 30?

Back

Front

Back

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding sides.