Dilations on a Coordinate Plane

Front

What is a dilation in geometry?

Back

A transformation that alters the size of a figure but not its shape, either enlarging or reducing it.

Front

What is the scale factor in a dilation?

Back

The ratio of the distance from the center of dilation to a point on the image to the distance from the center of dilation to the corresponding point on the original figure.

Front

If a point C at (x, y) is dilated by a scale factor of k, what are the new coordinates?

Back

(kx, ky)

Front

What happens to the coordinates of a point when it is dilated by a scale factor greater than 1?

Back

The coordinates of the point move away from the center of dilation, resulting in an enlargement.

Front

What happens to the coordinates of a point when it is dilated by a scale factor between 0 and 1?

Back

The coordinates of the point move closer to the center of dilation, resulting in a reduction.

Front

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

Back

Multiply each coordinate of the point by the scale factor.

Front

What is the center of dilation?

Back

The fixed point in the plane about which all points are expanded or contracted during a dilation.

Front

If a triangle has vertices (2,0), (3,-1), and (-2,-5) and is dilated by a scale factor of 3, what are the new coordinates?

Back

(6,0), (9,-3), (-6,-15)

Front

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

Back

The figure remains unchanged; it is neither enlarged nor reduced.

Front

What is the scale factor if the original rectangle is smaller than the dilated rectangle?

Back

The scale factor is greater than 1.