Dilations Flashcard

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape the same, using a center of dilation and a scale factor.

Tags

CCSS.8.G.A.3

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

Tags

CCSS.8.G.A.3

Front

If the scale factor is 3, what happens to the coordinates of a point (x, y) after dilation?

Back

The new coordinates will be (3x, 3y).

Tags

CCSS.8.G.A.3

Front

What is the result of dilating a figure by a scale factor of 1?

Back

The figure remains unchanged; it is congruent to the original.

Tags

CCSS.8.G.A.3

Front

What is the center of dilation?

Back

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

Tags

CCSS.8.G.A.3

Front

What happens to the angles of a figure during dilation?

Back

The angles of the figure remain the same during dilation; only the size of the figure changes.

Tags

CCSS.8.G.A.3

Front

What is the relationship between the original figure and its dilated image?

Back

The original figure and its dilated image are similar figures, meaning they have the same shape but different sizes.

Tags

CCSS.8.G.A.3

Front

How do you calculate the coordinates of a point after dilation?

Back

Multiply each coordinate of the point by the scale factor.

Tags

CCSS.8.G.A.3

Front

If a point D(5, -3) is dilated by a scale factor of 4, what are the new coordinates?

Back

D' (20, -12).

Tags

CCSS.8.G.A.3

Front

What does it mean if a dilation has a scale factor less than 1?

Back

It means the figure is being reduced in size.

Tags

CCSS.8.G.A.3