Translations and Dilations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.8.G.A.3

Front

How do you perform a translation of a point?

Back

To translate a point, you add the translation vector's x and y components to the point's coordinates.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the figure.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor less than 1 in dilation?

Back

A scale factor less than 1 reduces the figure.

Tags

CCSS.8.G.A.3

Front

If a point A(2,3) is translated 5 units left, what are the new coordinates?

Back

A'(-3,3) because you subtract 5 from the x-coordinate.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a point B(4,5) is dilated by a scale factor of 2, what are the new coordinates?

Back

B'(8,10) because you multiply both coordinates by 2.

Tags

CCSS.8.G.A.3

Front

What mathematical operation is used in translations?

Back

Addition or subtraction is used to change the coordinates.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What mathematical operation is used in dilations?

Back

Multiplication is used with the scale factor to change the coordinates.

Tags

CCSS.8.G.A.3