Dilation Practice # 2

Front

What is a scale factor in dilation?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during dilation. It determines how much larger or smaller the new shape will be compared to the original.

Front

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

Back

An enlargement occurs when the scale factor is greater than 1.

Front

If the scale factor is between 0 and 1, what type of transformation occurs?

Back

A reduction occurs when the scale factor is between 0 and 1.

Front

What does a scale factor of 2 indicate?

Back

A scale factor of 2 indicates that the new shape is twice the size of the original shape.

Front

What does a scale factor of 1/2 indicate?

Back

A scale factor of 1/2 indicates that the new shape is half the size of the original shape.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted during the dilation.

Front

How do you determine the coordinates of a point after dilation?

Back

To determine the coordinates of a point after dilation, multiply the original coordinates by the scale factor and then add the coordinates of the center of dilation.

Front

What is the effect of a negative scale factor?

Back

A negative scale factor not only changes the size of the shape but also reflects it across the center of dilation.

Front

If trapezoid ABCD is enlarged by a scale factor of 2 from the center (1, 0), what are the new coordinates of point A (x, y)?

Back

The new coordinates of point A can be calculated by applying the scale factor to the distance from the center (1, 0) to point A.

Front

Describe the transformation that takes a shape with a scale factor of 4 from the center (0,0).

Back

This transformation is an enlargement, meaning the shape will be four times larger than the original.