Dilations

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 center point and a scale factor.

Front

What is a scale factor in dilations?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction occurs.

Front

What happens to the coordinates of a point (x, y) when it is dilated by a scale factor k?

Back

The new coordinates become (kx, ky).

Front

What is the scale factor if the point (4, 6) is dilated to (8, 12)?

Back

The scale factor is 2.

Front

How do you find the image of a point after dilation?

Back

Multiply the coordinates of the original point by the scale factor.

Front

What is the image of point (1, 2) when dilated by a scale factor of 3?

Back

The image is (3, 6).

Front

If triangle ABC is dilated with a scale factor of 1/2, what happens to its area?

Back

The area of triangle ABC is reduced to 1/4 of its original area.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in the plane about which all points are expanded or contracted.