12.13.23 U3L4 Dilating Lines and Angles

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but maintains its shape. It is defined by a center of dilation and a scale factor.

Tags

CCSS.8.G.A.3

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Tags

CCSS.8.G.A.3

Front

If a triangle is dilated with a scale factor of 2, what happens to its size?

Back

The triangle will be enlarged to twice its original size.

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 of a figure are expanded or contracted.

Tags

CCSS.8.G.A.3

Front

Back

The angles of triangle A'B'C' remain the same as those of triangle ABC, regardless of the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the measure of angle A'B'C' if angle ABC is 90 degrees and the triangle is dilated?

Back

The measure of angle A'B'C' will also be 90 degrees.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If polygon Q is a scaled copy of polygon P with a scale factor of 0.75, how do the side lengths compare?

Back

The side lengths of polygon Q are 75% of the corresponding side lengths of polygon P.

Tags

CCSS.8.G.A.3

Front

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

Back

A scale factor less than 1 reduces the size of the figure.

Tags

CCSS.8.G.A.3

Front

Back

Triangle ABC will be enlarged to 133.33% of its original size.

Tags

CCSS.8.G.A.3