Similar Figures and Proportions

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 their corresponding sides are in proportion.

Front

What does it mean for two figures to be proportional?

Back

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

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

Front

How do you find the missing side of similar figures?

Back

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

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

How do you calculate the height of an object using similar figures?

Back

You can calculate the height of an object by setting up a proportion between the height and the corresponding side of a similar figure.

Front

What is the relationship between congruent figures and similar figures?

Back

Congruent figures are similar figures that are the same size; all corresponding sides and angles are equal.

Front

If one side of a triangle is 6 cm and the corresponding side of a similar triangle is 9 cm, what is the scale factor?

Back

The scale factor is 9/6 or 3/2.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.