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 not its shape, using a center of dilation and a scale factor.

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

Front

What mathematical operation is used with the scale factor in a dilation?

Back

Multiplication.

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor greater than 1, what happens to the figure?

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

If a figure is dilated by a scale factor less than 1, what happens to the figure?

Back

The figure reduces.

Tags

CCSS.8.G.A.3

Front

What are the coordinates of a point (x, y) after a dilation by a scale factor of k?

Back

The new coordinates will be (kx, ky).

Tags

CCSS.8.G.A.3

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Tags

CCSS.8.G.A.3

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation by a scale factor of 2?

Back

(2, 4), (6, 8), (10, 12).

Tags

CCSS.8.G.A.3

Front

What does it mean for an image to be congruent after dilation?

Back

An image is congruent if it has the same shape and size as the original figure, which occurs when the scale factor is 1.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor of 1/2 on a figure?

Back

The figure is reduced to half its original size.

Tags

CCSS.8.G.A.3