Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same.

Front

What is a scale factor?

Back

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

Front

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

Back

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

Front

What happens to the coordinates of a point (x, y) when a dilation with a scale factor k is applied?

Back

The new coordinates become (kx, ky).

Front

Can a dilation change the shape of a figure?

Back

No, a dilation does not change the shape; it only changes the size.

Front

What is the scale factor if point A (2, 6) is dilated to point A' (1, 3)?

Back

The scale factor is 1/2.

Front

What is the scale factor if point D (2, 2) is dilated to point D' (4, 4)?

Back

The scale factor is 2.

Front

True or False: A dilation can produce a rectangle from a square.

Back

False. The two figures must be the same basic shape.

Front

What are the coordinates of point V if it is dilated to V' and the original coordinates are (0, 1) and (0, 4)?

Back

The coordinates of V are (0, 1) and V' are (0, 4).