Homework Dilations PREP (24-25)

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor of \( k > 1 \) indicate in a dilation?

Back

It indicates that the figure will be enlarged.

Front

What does a scale factor of \( k < 1 \) indicate in a dilation?

Back

It indicates that the figure will be reduced.

Front

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

If the original point is (x, y) and the scale factor is \( k \), what are the coordinates of the dilated point?

Back

The coordinates of the dilated point are (kx, ky).

Front

What is the effect of a scale factor of \( \frac{1}{2} \) on a figure?

Back

The figure will be reduced to half its original size.

Front

What is the effect of a scale factor of \( 2 \) on a figure?

Back

The figure will be enlarged to twice its original size.

Front

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

Back

A'(4, 6).

Front

If point B(-1, 4) is dilated by a scale factor of \( \frac{1}{3} \), what are the new coordinates?

Back

B'(-\frac{1}{3}, \frac{4}{3}).

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.