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 keeps 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 scale factor is greater than 1, what type of transformation is it?

Back

It is an enlargement.

Front

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

Back

It is a reduction.

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 corresponding coordinates of the preimage.

Front

What happens to the coordinates of a point (x, y) under a dilation with scale factor k?

Back

The new coordinates become (kx, ky).

Front

What is the image of point A(4, 6) under a dilation with scale factor 2?

Back

The image is A'(8, 12).

Front

What is the image of point B(-10, -6) under a dilation with scale factor 1/2?

Back

The image is B'(-5, -3).

Front

If point C(3, 4) is dilated to C'(1.5, 2), what is the scale factor?

Back

The scale factor is 0.5.

Front

What is the relationship between similar figures and dilations?

Back

Similar figures can be obtained from one another through dilations.