Dilation Flashcard

Front

What is a scale factor in dilation?

Back

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

Front

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

Back

The figure is reduced to half its original size.

Front

What is the result of dilating a point (x, y) by a scale factor of k?

Back

The new coordinates will be (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 the scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs.

Front

If the scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs.

Front

What are the coordinates of point C' if point C(6, 4) is dilated by a scale factor of 1/2?

Back

C' will be (3, 2).

Front

How do you find the scale factor when given two points, (x1, y1) and (x2, y2)?

Back

The scale factor is found by dividing the distance of the new point by the distance of the original point.

Front

What happens to the angles of a figure when it is dilated?

Back

The angles remain the same during dilation.

Front

If triangle ABC has vertices A(2, 3), B(4, 5), and C(6, 7), what are the coordinates after a dilation by a scale factor of 2?

Back

A'(4, 6), B'(8, 10), C'(12, 14).