Dilations and Similarity

Front

What is a dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

What does the scale factor in a dilation represent?

Back

The scale factor represents how much larger or smaller a figure becomes during a dilation.

Tags

CCSS.8.G.A.3

Front

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

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

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

Back

The figure shrinks.

Tags

CCSS.8.G.A.3

Front

What remains unchanged during a dilation?

Back

The angles of the figure remain unchanged.

Tags

CCSS.8.G.A.3

Front

What is the relationship between corresponding sides of similar figures?

Back

The corresponding sides of similar figures are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are congruent and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the coordinate of the image of point B (-10,-6) after a dilation with a scale factor of 1/2?

Back

(-5,-3)

Tags

CCSS.8.G.A.3