Dilations

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 center point and a scale factor.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

A scale factor less than 1 indicates a reduction in size.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

A scale factor greater than 1 indicates an enlargement in size.

Front

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

Back

To find the image of a point under dilation, multiply the coordinates of the point by the scale factor.

Front

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

Back

G' (-5,-3)

Front

What is the scale factor if point (8, 12) is dilated to (2, 3)?

Back

The scale factor is 1/4.

Front

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

Back

All dimensions of the figure are multiplied by 3, resulting in an enlargement.

Front

What are the coordinates of point A(3,3) after a dilation with a scale factor of 3?

Back

A' (9,9)

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 determine if a dilation is a reduction or enlargement?

Back

If the scale factor is less than 1, it is a reduction; if it is greater than 1, it is an enlargement.