Scaled Copies

Front

What is a scaled copy?

Back

A scaled copy is a figure that is similar to another figure but is a different size, created by multiplying the dimensions of the original figure by a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of scaled copies, it is the ratio of the dimensions of the scaled copy to the dimensions of the original figure.

Front

If the scale factor is greater than 1, what does that mean for the size of the scaled copy?

Back

If the scale factor is greater than 1, the scaled copy is larger than the original figure.

Front

If the scale factor is less than 1, what does that mean for the size of the scaled copy?

Back

If the scale factor is less than 1, the scaled copy is smaller than the original figure.

Front

What happens to the angles in a scaled copy?

Back

The angles in a scaled copy remain the same as in the original figure.

Front

How do you determine if two figures are scaled copies of each other?

Back

Two figures are scaled copies if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the areas of two similar figures with a scale factor of k?

Back

The area of the scaled copy is k^2 times the area of the original figure.

Front

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

Back

The lengths of the sides of the scaled copy would be 6 cm, 8 cm, and 10 cm.

Front

On a map, if the scale is 1 inch = 100 miles, how many inches represent 300 miles?

Back

3 inches represent 300 miles.

Front

What is the measurement of an angle in a scaled copy if the original angle is 45 degrees?

Back

The measurement of the angle in the scaled copy is also 45 degrees.