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

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 of the figures.

Front

If two figures are similar and one side of the first figure is 10 cm while the corresponding side of the second figure is 5 cm, what is the scale factor?

Back

The scale factor is 1:2.

Front

What is a scale in the context of blueprints?

Back

A scale is a ratio that compares the dimensions of a drawing to the actual dimensions of the object.

Front

If the scale of a drawing is 1 inch to 5 feet, how many inches would represent 20 feet?

Back

4 inches.

Front

What is the relationship between the heights of two similar figures?

Back

The heights of two similar figures are proportional to the lengths of their corresponding sides.

Front

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

Back

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

Front

If a person is 5 feet tall and casts a shadow of 3 feet, how tall is a nearby pole that casts a shadow of 15 feet?

Back

The pole is 25 feet tall.

Front

What does it mean for two figures to be in proportion?

Back

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

Front

If the length of one side of a triangle is 6 cm and the corresponding side of a similar triangle is 9 cm, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.