Center of Dilation, Animated, Small Images

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.

Front

How do you identify the center of dilation in a coordinate plane?

Back

The center of dilation can be identified by observing the point from which all other points are proportionally distanced.

Front

If a point A(1, 2) is dilated to A'(2, 4) with center of dilation at (0, 0), what is the scale factor?

Back

The scale factor is 2.

Front

What happens to the distances between points when a dilation occurs?

Back

The distances between points are multiplied by the scale factor.

Front

If the center of dilation is at (2, 3) and a point B(4, 5) is dilated, what is the new position of B if the scale factor is 2?

Back

The new position of B is (6, 7).

Front

What is the scale factor if a point C(3, 4) is dilated to C'(6, 8) with center of dilation at (0, 0)?

Back

The scale factor is 2.

Front

How does the center of dilation affect the orientation of the image?

Back

The orientation of the image remains the same after dilation.

Front

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

Back

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

Front

If the center of dilation is at (1, 1) and a point D(2, 2) is dilated with a scale factor of 3, what is the new position of D?

Back

The new position of D is (4, 4).

Front

What is the relationship between the original point and the dilated point in terms of the center of dilation?

Back

The dilated point lies on the line that connects the original point and the center of dilation.