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 center of dilation and a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a point (x, y) is dilated by a scale factor k, what are the new coordinates?

Back

The new coordinates are (kx, ky).

Front

What does it mean if the scale factor is less than 1?

Back

If the scale factor is less than 1, the figure is reduced in size.

Front

What does it mean if the scale factor is greater than 1?

Back

If the scale factor is greater than 1, the figure is enlarged.

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 scale factor when given original and dilated points?

Back

The scale factor can be found by dividing the distance from the center of dilation to the dilated point by the distance from the center of dilation to the original point.

Front

What happens to the angles of a figure during dilation?

Back

The angles of a figure remain unchanged during dilation.

Front

If triangle ABC is dilated by a scale factor of 2, what happens to its area?

Back

The area of triangle ABC will be multiplied by the square of the scale factor, so it will be 4 times larger.

Front

What is the relationship between the coordinates of a point and its image after dilation?

Back

The coordinates of the image point are determined by multiplying the original coordinates by the scale factor.