Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Tags

CCSS.8.G.A.3

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Tags

CCSS.8.G.A.3

Front

How do you calculate the coordinates of a point after dilation?

Back

Multiply each coordinate of the original point by the scale factor.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point F(7, -2) after a dilation with a scale factor of 3 centered at the origin?

Back

F'(21, -6)

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point H(-3, 4) after a dilation with a scale factor of 0.5 centered at the origin?

Back

H'(-1.5, 2)

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point G(-10, -6) after a dilation with a scale factor of 1/2 centered at the origin?

Back

G'(-5, -3)

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point A(3, 6) after a dilation with a scale factor of 2?

Back

A'(6, 12)

Tags

CCSS.8.G.A.3

Front

What is the result of dilating point D(2, -3) by a scale factor of 4?

Back

D'(8, -12)

Tags

CCSS.8.G.A.3

Front

If a point is dilated by a scale factor of 1, what happens to its coordinates?

Back

The coordinates remain unchanged.

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point when the scale factor is less than 1?

Back

The coordinates of the point are reduced, making the image smaller.

Tags

CCSS.8.G.A.3