CCSS.HSG.SRT.A.1 Review

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.

Front

What does the scale factor indicate in a dilation?

Back

The scale factor indicates how much larger or smaller a figure will be after dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If a line segment has a length of 5 units and is dilated with a scale factor of 3, what is the new length?

Back

15 units.

Front

What happens to a line segment when it is dilated with a scale factor of 1?

Back

The line segment remains unchanged.

Front

Back

4 units.

Front

How do you calculate the length of a dilated line segment?

Back

Multiply the original length by the scale factor.

Front

What is the effect of a scale factor of 0 on a dilation?

Back

A scale factor of 0 reduces the figure to a single point at the center of dilation.

Front

If a line segment is dilated with a center at point O and a scale factor of 2, what is the relationship between the original and dilated segments?

Back

The dilated segment will be twice the length of the original segment.

Front

What is the definition of 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.

Front

If a line segment is dilated with a scale factor of 1/3, how does its length change?

Back

The length of the line segment is reduced to one-third of its original length.