Math 8: 2.1-4 Review, Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, either enlarging or reducing it.

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

If AB = 12 and AC = 3, what is the scale factor when B is dilated with center at A?

Back

1/4

Front

What does it mean if a point is dilated with a scale factor of 1?

Back

The point remains unchanged; it does not move.

Front

What is the pre-image in a transformation?

Back

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

Front

What is the image in a transformation?

Back

The image is the resulting figure after a transformation has taken place.

Front

If point B (4,9) is dilated with a scale factor of 2, what are the coordinates of the image B'?

Back

B' (8, 18)

Front

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

Back

The coordinates of the point increase, moving it further away from the center of dilation.

Front

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

Back

The coordinates of the point decrease, moving it closer to the center of dilation.

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, a dilation can either enlarge or reduce a figure depending on the scale factor.