Dilations and Scale Factor

Front

What is the formula for scale factor?

Back

The formula for scale factor is \( \frac{new}{old} \).

Front

What is a dilation in geometry?

Back

A dilation is the process of making a polygon larger or smaller without changing its shape.

Front

True or False: A dilation produces a congruent figure.

Back

False.

Front

How do you find the image of a point under dilation?

Back

To find the image of a point under dilation, multiply the coordinates of the original point by the scale factor.

Front

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

Back

The scale factor is \( \frac{1}{4} \).

Front

If a shape is dilated by a scale factor of 2, what happens to its dimensions?

Back

The dimensions of the shape are doubled.

Front

What is the effect of a scale factor less than 1 on a shape?

Back

A scale factor less than 1 reduces the size of the shape.

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

Back

The new coordinate is (kx, ky).

Front

What happens to the angles of a shape during dilation?

Back

The angles of the shape remain unchanged during dilation.