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.

Tags

CCSS.8.G.A.3

Front

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

Back

The dilation is an enlargement.

Tags

CCSS.8.G.A.3

Front

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

Back

The dilation is a reduction.

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

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).

Tags

CCSS.8.G.A.3

Front

What does it mean for figures to be similar?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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).

Tags

CCSS.8.G.A.3

Front

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

Back

The original figure and the dilated figure are similar.

Tags

CCSS.8.G.A.3

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).

Tags

CCSS.8.G.A.3

Front

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

Back

The scale factor is 1/4.

Tags

CCSS.8.G.A.3