Dilations and scale factors

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 is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Tags

CCSS.8.G.A.3

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure undergoes an enlargement.

Tags

CCSS.8.G.A.3

Front

If a scale factor is between 0 and 1, what happens to the figure?

Back

The figure undergoes a reduction.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point A' if point A(2, 5) is dilated by a scale factor of 2?

Back

A' = (4, 10)

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point A' if point A(2, 5) is dilated by a scale factor of 0.5?

Back

A' = (1, 2.5)

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains unchanged.

Tags

CCSS.8.G.A.3

Front

Which scale factor will produce a reduction?

Back

Any scale factor between 0 and 1.

Tags

CCSS.8.G.A.3

Front

What is the scale factor if a triangle is enlarged to twice its size?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation with a scale factor of 3?

Back

New coordinates: (3, 6), (9, 12), (15, 18).

Tags

CCSS.8.G.A.3