Dilations on Coordinate Plane

Front

What is a dilation in the context of the coordinate plane?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a scale factor and a center of dilation.

Front

What is the scale factor in a dilation?

Back

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

Front

What is a pre-image?

Back

The pre-image is the original figure before any transformation has occurred.

Front

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

Back

The figure undergoes an enlargement.

Front

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

Back

The figure undergoes a reduction.

Front

If a point (x, y) is dilated with a scale factor k, what are the new coordinates?

Back

The new coordinates are (kx, ky).

Front

What are the coordinates of point B (-10, -6) after a dilation with a scale factor of 1/2?

Back

The coordinates of B' are (-5, -3).

Front

If the point (8, 12) is dilated to (2, 3), what is the scale factor?

Back

The scale factor is 1/4.

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 the scale factor from a pre-image and its image?

Back

The scale factor can be determined by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the pre-image.