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.

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.

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.

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.

Front

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

Back

A scale factor greater than 1 enlarges the figure.

Front

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

Back

A scale factor less than 1 reduces the figure.

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.

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.

Front

What mathematical operation is used in translations?

Back

Addition or subtraction is used to change the coordinates.

Front

What mathematical operation is used in dilations?

Back

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