Dilation

Front

What is dilation in geometry?

Back

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

Front

What is the scale factor in a 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.

Front

If a triangle has vertices A(0,0), B(8,0), C(3,-2) and is dilated by a scale factor of 4, what are the new coordinates?

Back

A(0,0), B(32,0), C(12,-8)

Front

True or False: The angles of a shape change during dilation.

Back

False. The angles of the shape remain the same during dilation.

Front

What happens to the sides of a shape during dilation?

Back

The lengths of the sides of the shape change according to the scale factor, either increasing or decreasing.

Front

What is the center of dilation?

Back

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

Front

If a point B(-10,-6) is dilated with a scale factor of 1/2, what are the new coordinates?

Back

B'(-5,-3)

Front

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

Back

A scale factor of 1 means that the figure remains unchanged in size and shape.

Front

How do you determine if a transformation is a dilation?

Back

A transformation is a dilation if it enlarges or reduces a figure while keeping the shape and angles the same.

Front

What is the relationship between the original figure and its image after dilation?

Back

The original figure and its image are similar, meaning they have the same shape but may differ in size.