Unit 6 Day 3 Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a center of dilation and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

What happens to a figure when the scale factor is greater than 1?

Back

When the scale factor is greater than 1, the figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

When the scale factor is less than 1, the figure undergoes a reduction.

Front

If a point A(3, 6) is dilated with a scale factor of 1/2, what are the coordinates of the image A'?

Back

The coordinates of the image A' are (1.5, 3).

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.

Front

How do you calculate the coordinates of a dilated point?

Back

To calculate the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

What is an example of a scale factor of 2?

Back

If the original length is 3 units, the new length after dilation with a scale factor of 2 will be 6 units.

Front

What is an example of a scale factor of 1/3?

Back

If the original length is 9 units, the new length after dilation with a scale factor of 1/3 will be 3 units.

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged; it is an exact copy.