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, using a scale factor.

Front

What happens when the scale factor of a dilation is greater than 1?

Back

The dilation is an enlargement.

Front

What happens when the scale factor of a dilation is less than 1?

Back

The dilation is a reduction.

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.

Front

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

Back

The new point is (kx, ky).

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size.

Front

If point A(4, 6) is dilated by a scale factor of 1/2, what is the new point?

Back

The new point is (2, 3).

Front

What is the relationship between the original figure and the dilated figure?

Back

The original figure and the dilated figure are similar.

Front

Can a dilation be both an enlargement and a reduction?

Back

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

Front

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

Back

The scale factor is 1/4.