Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. It is defined by a center point and a scale factor.

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 during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 1/2, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Tags

CCSS.8.G.A.3

Front

What are similar figures?

Back

Similar figures are figures that have the same shape but different sizes. They have proportional corresponding sides and equal corresponding angles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you find the coordinates of a dilated point G(-10,-6) with a scale factor of 1/2?

Back

Multiply each coordinate by the scale factor: G' = (-10 * 1/2, -6 * 1/2) = (-5, -3).

Tags

CCSS.8.G.A.3

Front

What is the image of point A(3,3) under a dilation with a scale factor of 3?

Back

A' = (3 * 3, 3 * 3) = (9, 9).

Tags

CCSS.8.G.A.3

Front

What is the center of dilation?

Back

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

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the figure are doubled.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the scale factor and the size of the image?

Back

The size of the image is directly proportional to the scale factor; a larger scale factor results in a larger image.

Tags

CCSS.7.G.A.1

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2