Dilations

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 happens when the scale factor of a dilation is greater than 1?

Back

The dilation is an enlargement.

Front

What happens when the scale factor of a dilation is less than 1?

Back

The dilation is a reduction.

Front

If a point B has coordinates (x, y), what are the coordinates of the image after a dilation with scale factor k?

Back

The coordinates of the image are (kx, ky).

Front

What is the scale factor if the original length is 4 and the new length is 2?

Back

The scale factor is 1/2.

Front

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

Back

Multiply the coordinates of the point by the scale factor.

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 -1, what does this indicate about the dilation?

Back

The dilation is a reflection across the center of dilation.

Front

What are the coordinates of the image of point B (-10, -6) under a dilation with center at the origin and scale factor k = 1/2?

Back

The coordinates of the image are (-5, -3).

Front

If a point is dilated by a scale factor of 3, what happens to its distance from the center of dilation?

Back

The distance from the center of dilation is tripled.