8th Grade Dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the new figure to the length of the corresponding side of the original figure.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point will be (kx, ky).

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure enlarges.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure reduces.

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

If segment AB is 4 units long and is dilated by a factor of 3, how long will segment A'B' be?

Back

12 units.

Front

True or False: A dilation can change the shape of a figure.

Back

False. A dilation only changes the size, not the shape.

Front

What is the effect of a scale factor of 1 on a figure?

Back

The figure remains the same size.

Front

If a point (2, 3) is dilated by a scale factor of ½, what is the new point?

Back

(1, 1.5).