Similar Figures and Scale Palmer

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 is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides.

Front

If a rectangle has a width of 18 in and a length of 24 in, what is the scale factor if the width is enlarged to 54 in?

Back

The scale factor is 3 (54 in / 18 in).

Front

How do you find the length of a similar figure when the width is known?

Back

To find the length, use the scale factor. If the original length is known, multiply it by the scale factor.

Front

If a triangle has sides of 3 cm, 4 cm, and 5 cm, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle would be 6 cm, 8 cm, and 10 cm.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

How do you calculate the perimeter of similar figures?

Back

The perimeter of similar figures can be found by multiplying the perimeter of the original figure by the scale factor.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, what is the height of a building that casts a shadow of 24 feet?

Back

The height of the building is 32 feet.

Front

What is the formula for finding the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides.

Front

If the perimeter of a triangle is 36 units, what could be the lengths of its sides?

Back

Possible lengths could be 10, 12, and 14 units.