More dilations on a coordinate plane

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape and orientation the same.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much larger or smaller the image will be compared to the original figure.

Front

If a scale factor is greater than 1, what happens to the figure?

Back

The figure becomes larger than the original.

Front

If a scale factor is less than 1, what happens to the figure?

Back

The figure becomes smaller than the original.

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

How do you find the coordinates of a dilated point?

Back

Multiply the original coordinates by the scale factor.

Front

What happens to the angles of a figure during dilation?

Back

The angles remain congruent during dilation.

Front

Is a dilated figure congruent to the original figure?

Back

No, a dilated figure is similar but not congruent to the original figure.

Front

What is the dilation rule for a point (x, y) with a scale factor k?

Back

The new coordinates after dilation are (kx, ky).

Front

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

Back

A negative scale factor reflects the figure across the center of dilation.