Dilations!

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape, using a center of dilation and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

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 coordinates of a point when the scale factor is greater than 1?

Back

The coordinates of the point move further away from the center of dilation, resulting in an enlargement.

Front

What happens to the coordinates of a point when the scale factor is between 0 and 1?

Back

The coordinates of the point move closer to the center of dilation, resulting in a reduction.

Front

How do you find the scale factor when given original and dilated points?

Back

Divide the coordinates of the dilated point by the corresponding coordinates of the original point.

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 1/2, what type of transformation occurs?

Back

A reduction occurs, making the figure smaller.

Front

If the scale factor is -2, what does this indicate?

Back

This indicates an enlargement by a factor of 2 and a reflection across the center of dilation.

Front

What is the effect of a negative scale factor on a dilation?

Back

A negative scale factor results in a reflection of the figure across the center of dilation.