Dilations Review

Front

What is the definition of Dilation in geometry?

Back

Dilation means to enlarge or reduce a figure by a scale factor.

Front

What is a scale factor in the context of dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Front

If triangle ABC is dilated by a scale factor of 1/2, what happens to its size?

Back

The triangle will be reduced to half its original size.

Front

What are the coordinates of point C' if point C(6, -3) is dilated by a scale factor of 1/2?

Back

C' will be at (3, -1.5).

Front

How do you find the coordinates of a dilated image when the center of dilation is the origin?

Back

Multiply each coordinate of the original point by the scale factor.

Front

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

Back

A' will be at (9,9).

Front

What is the result of dilating a figure by a scale factor of 3?

Back

The figure will be enlarged to three times its original size.

Front

What sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

Back

A reflection over the y-axis, followed by a dilation by a scale factor of 1/2 with the center of dilation at the origin.

Front

What does multiplying by 3/2 represent in terms of scaling?

Back

It represents enlarging a figure by a scale factor of 1.5.

Front

If a figure is dilated by a scale factor of k, how does this affect the area of the figure?

Back

The area of the figure is multiplied by k^2.