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 of dilation 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

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

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

Back

A reduction occurs when the scale factor is less than 1.

Front

How do you calculate the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor. For example, if the original point is (x, y) and the scale factor is k, the new coordinates are (kx, ky).

Front

What is the algebraic notation for a dilation with a scale factor of 2?

Back

(x, y) goes to (2x, 2y).

Front

What happens to the coordinates of a point (4, 5) when dilated by a scale factor of 3?

Back

The new coordinates will be (12, 15).

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.

Front

How do you determine the scale factor when given original and dilated points?

Back

Divide the coordinates of the dilated point by the corresponding coordinates of the original point.

Front

If a point (6, 8) is dilated to (3, 4), what is the scale factor?

Back

The scale factor is 1/2.