Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that produces a figure similar to the original by increasing or decreasing its size, using a fixed point called the center of dilation and a scale factor.

Tags

CCSS.8.G.A.3

Front

What is a scale factor in dilations?

Back

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

True or False: A dilation always produces a congruent figure.

Back

False. A dilation produces a similar figure, not necessarily congruent.

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 of a figure are expanded or contracted.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a dilated point?

Back

To find the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor not only changes the size of the figure but also reflects it across the center of dilation.

Tags

CCSS.8.G.A.3

Front

If a triangle is dilated by a scale factor of 1/4, what happens to its area?

Back

The area of the triangle is reduced by a factor of (1/4)² = 1/16.

Tags

CCSS.8.G.A.3

Front

What is the image of point (2, 3) after a dilation with a scale factor of 2?

Back

The image is (4, 6) because each coordinate is multiplied by 2.

Tags

CCSS.8.G.A.3

Front

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

Back

The angles of a figure remain unchanged during a dilation.

Tags

CCSS.8.G.A.3