Dilation Practice (20 ?'s)

Front

What is dilation in geometry?

Back

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 is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation. It determines how much larger or smaller the figure will become.

Front

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

Back

To find the image of a point after dilation, multiply the coordinates of the original point by the scale factor and add the coordinates of the center of dilation.

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 enlarges.

Front

What happens to a figure when the scale factor is between 0 and 1?

Back

When the scale factor is between 0 and 1, the figure shrinks.

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 during the dilation.

Front

If the center of dilation is at (0, 0) and the scale factor is 2, what is the image of point (3, 4)?

Back

The image of point (3, 4) is (6, 8) after dilation.

Front

If the center of dilation is at (1, 1) and the scale factor is 1/2, what is the image of point (3, 3)?

Back

The image of point (3, 3) is (2, 2) after dilation.

Front

What is the formula for dilation?

Back

The formula for dilation is: (x', y') = (k(x - x_c) + x_c, k(y - y_c) + y_c), where (x_c, y_c) is the center of dilation and k is the scale factor.

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is between 0 and 1, it is a reduction.