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 during a dilation.

Front

If a figure is enlarged by a scale factor of 2, what happens to its dimensions?

Back

The dimensions of the figure are doubled.

Front

If a figure is reduced by a scale factor of 1/2, what happens to its dimensions?

Back

The dimensions of the figure are halved.

Front

How do you find the scale factor when given the coordinates of a preimage and its image?

Back

Divide the coordinates of the image by the coordinates of the preimage.

Front

What does it mean if the scale factor is greater than 1?

Back

It indicates an enlargement of the figure.

Front

What does it mean if the scale factor is less than 1?

Back

It indicates a reduction of the figure.

Front

Given point A (8, 12) dilated to A' (2, 3), what is the scale factor?

Back

The scale factor is 1/4.

Front

What is the result of a dilation with a scale factor of 1?

Back

The figure remains unchanged in size.

Front

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

Back

The new side lengths are 6, 8, and 10.