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.

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.

Front

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

Back

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

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)

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)

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)

Front

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

Back

A'(6, 12)

Front

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

Back

D'(8, -12)

Front

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

Back

The coordinates remain unchanged.

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.