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 and a center of dilation.

Tags

CCSS.8.G.A.3

Front

What does the scale factor in a dilation represent?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

If the scale factor is greater than 1, what type of dilation occurs?

Back

An enlargement.

Tags

CCSS.8.G.A.3

Front

If the scale factor is less than 1, what type of dilation occurs?

Back

A reduction.

Tags

CCSS.8.G.A.3

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points of a figure are expanded or contracted.

Tags

CCSS.8.G.A.3

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Tags

CCSS.8.G.A.3

Front

What happens to the shape of a figure during a dilation?

Back

The shape remains similar, but the size changes.

Tags

CCSS.8.G.A.3

Front

What is the relationship between corresponding sides of similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is dilated by a scale factor of 2, what happens to its area?

Back

The area is multiplied by the square of the scale factor (2^2 = 4), so the area becomes four times larger.

Tags

CCSS.7.G.A.1

Front

What are the coordinates of point A' if point A(1, 2) is dilated by a scale factor of 3?

Back

A'(3, 6).

Tags

CCSS.8.G.A.3