Dilations!

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of a length of the new figure to the corresponding length on the original figure.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction.

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

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.

Front

If point A (4, 6) is dilated by a scale factor of 2, what is the new point A'?

Back

A' is (8, 12).

Front

If point B (3, 5) is dilated by a scale factor of 1/2, what is the new point B'?

Back

B' is (1.5, 2.5).

Front

What is the scale factor if point C (10, 15) is dilated to point C' (5, 7.5)?

Back

The scale factor is 1/2.

Front

True or False: A dilation with a scale factor of -1 reflects the figure across the center of dilation.

Back

True.

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), and is dilated by a scale factor of 3, what are the new vertices?

Back

The new vertices are (3, 6), (9, 12), and (15, 18).