Dilations and Scale Factor Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure in a dilation.

Front

If a scale factor is greater than 1, what type of transformation occurs?

Back

Enlargement.

Front

If a scale factor is less than 1, what type of transformation occurs?

Back

Reduction.

Front

What is true about corresponding angles in similar figures?

Back

Corresponding angles are congruent.

Front

What is true about corresponding sides in similar figures?

Back

Corresponding sides are proportional.

Front

How do you find the scale factor between two similar figures?

Back

Divide the length of a side of the image by the length of the corresponding side of the original figure.

Front

If a triangle has sides of lengths 3, 4, and 5, and is dilated by a scale factor of 2, what are the lengths of the sides of the new triangle?

Back

6, 8, and 10.

Front

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

Back

The area of the larger figure is k² times the area of the smaller figure.

Front

If a figure is dilated by a scale factor of 3, what happens to its perimeter?

Back

The perimeter is multiplied by 3.