Dilations Flashcard

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much the shape is enlarged or reduced. A scale factor greater than 1 indicates enlargement, while a scale factor less than 1 indicates reduction.

Front

If a shape is dilated by a scale factor of 2, what happens to its size?

Back

The shape is enlarged to twice its original size.

Front

If a shape is dilated by a scale factor of 1/2, what happens to its size?

Back

The shape is reduced to half its original size.

Front

What remains unchanged during a dilation?

Back

The shape's angles and the relative proportions of its sides remain unchanged.

Front

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

Back

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) is the image of point G under the dilation.

Front

What is the result of dilating point B (0, 4) by a scale factor of 3?

Back

The image of point B is (0, 12) after dilation.

Front

Can a dilation be both an enlargement and a reduction?

Back

Yes, a dilation can be either an enlargement (scale factor > 1) or a reduction (scale factor < 1).

Front

What happens to the coordinates of a shape when it is dilated?

Back

The coordinates are multiplied by the scale factor.