Dilations Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does a scale factor of less than 1 indicate in a dilation?

Back

It indicates a reduction in size.

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement in size.

Front

If point A(2, 3) is dilated by a scale factor of 2, what are the coordinates of the new point?

Back

(4, 6)

Front

If point B(-1, 2) is dilated by a scale factor of 1/2, what are the coordinates of the new point?

Back

(-0.5, 1)

Front

What is the scale factor if point (8, 12) is dilated to (2, 3)?

Back

1/4

Front

True or False: A dilation can only be an enlargement.

Back

False

Front

True or False: A dilation can be either an enlargement or a reduction.

Back

True

Front

What is the result of dilating a point by a scale factor of 1?

Back

The point remains unchanged.

Front

If a triangle with vertices at (1, 1), (2, 2), and (3, 3) is dilated by a scale factor of 3, what are the new vertices?

Back

(3, 3), (6, 6), (9, 9)