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 point 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. It can be greater than 1 (enlargement) or between 0 and 1 (reduction).

Tags

CCSS.8.G.A.3

Front

If a scale factor is 1/2, what type of transformation is it?

Back

It is a reduction.

Tags

CCSS.8.G.A.3

Front

If a scale factor is 2, what type of transformation is it?

Back

It is an enlargement.

Tags

CCSS.8.G.A.3

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor and then add the coordinates of the center of dilation.

Tags

CCSS.8.G.A.3

Front

What happens to the angles of a figure during dilation?

Back

The corresponding angles of the original figure and the dilated figure remain equal.

Tags

CCSS.8.G.A.3

Front

What is the effect of dilation on the area of a figure?

Back

The area of a figure is multiplied by the square of the scale factor during dilation.

Tags

CCSS.8.G.A.3

Front

If triangle ABC has vertices A(-2, 2), B(2, 4), and C(3, -1), what are the coordinates of A' after a dilation by a scale factor of 2.5?

Back

A' is at (-5, 5).

Tags

CCSS.8.G.A.3

Front

What are the coordinates of point C' if triangle ABC is dilated by a scale factor of 1/2?

Back

C' is at (3, -1.5).

Tags

CCSS.8.G.A.3

Front

What is the relationship between the original polygon and the dilated polygon?

Back

The original polygon and the dilated polygon are similar, meaning they have the same shape but different sizes.

Tags

CCSS.8.G.A.3