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

How do you translate a point in the coordinate plane?

Back

To translate a point, you add the translation values to the x and y coordinates of the point.

Front

If point J is at (0, 0), where is J' after translating 5 units left and 2 units up?

Back

J' is at (-5, 2).

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

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

Back

Multiply the original coordinates by the scale factor.

Front

If point A(2, 3) is dilated by a scale factor of 2, what are the new coordinates?

Back

A' is at (4, 6).

Front

If point B(4, 5) is dilated by a scale factor of 1/2, what are the new coordinates?

Back

B' is at (2, 2.5).

Front

What is the center of dilation?

Back

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