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 their corresponding sides are in proportion.

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

How do you find the missing side length in similar figures?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

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

Back

The lengths of their corresponding sides are in the same ratio.

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 calculate the perimeter of a similar figure?

Back

To calculate the perimeter of a similar figure, use the ratio of the sides to find the lengths of the sides, then add them together.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, how can you find the height of a building that casts a shadow of 24 feet?

Back

Set up a proportion: 12/9 = height/24, then solve for height.

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

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.