Dilations on the Coordinate Plane (8th)

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using 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

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

Back

The figure's size doubles.

Front

What are the coordinates of point A(2, 3) after a dilation by a scale factor of 4?

Back

A'(8, 12)

Front

How do you perform a dilation on the coordinate plane?

Back

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

Front

What is the result of dilating a figure by a scale factor of 0.5?

Back

The figure is reduced to half its original size.

Front

What is the algebraic notation for a dilation with a scale factor of k?

Back

(x, y) goes to (kx, ky) where k is the scale factor.

Front

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

Back

An enlargement.

Front

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

Back

A reduction.

Front

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

Back

It reflects the figure across the origin in addition to resizing it.