Dilations and Translations

Front

What is a dilation?

Back

A transformation that alters the size of a figure, either enlarging or reducing it, while maintaining its shape.

Front

What does a scale factor of 3 mean in a dilation?

Back

It means that every point of the figure is moved away from the center of dilation by a distance that is three times its original distance.

Front

If a figure is dilated by a scale factor of 1/4, what happens to its size?

Back

The figure is reduced to one-fourth of its original size.

Front

What are the coordinates of point A(3,3) after a dilation by a scale factor of 3?

Back

A'(9,9)

Front

What is the result of translating a point (x,y) by (x+2, y-5)?

Back

The new coordinates will be (x+2, y-5).

Front

How do you translate triangle ABC to triangle A'B'C' using the translation (x-2, y+9)?

Back

You subtract 2 from the x-coordinates and add 9 to the y-coordinates of each vertex of triangle ABC.

Front

What is the scale factor if the point (8, 12) is dilated to (2, 3)?

Back

The scale factor is 1/4.

Front

What does it mean if a dilation is described as an enlargement?

Back

It means the figure is being increased in size, with the scale factor greater than 1.

Front

What does it mean if a dilation is described as a reduction?

Back

It means the figure is being decreased in size, with the scale factor less than 1.

Front

If a figure is dilated with the origin as the center, how are the coordinates affected?

Back

The coordinates are multiplied by the scale factor.