dilation of a figure

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but maintains its shape. It is defined by a center of dilation and a scale factor.

Front

What is the center of dilation?

Back

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

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

If a figure is dilated by a scale factor of 2, what happens to its dimensions?

Back

All dimensions of the figure are doubled.

Front

If a figure is dilated by a scale factor of 1/3, what happens to its dimensions?

Back

All dimensions of the figure are reduced to one-third of their original size.

Front

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

Back

To find the new coordinates after dilation, multiply the original coordinates by the scale factor and, if applicable, add the coordinates of the center of dilation.

Front

What is the algebraic rule for dilation with a center at the origin?

Back

Front

What are the coordinates of point A(2, 3) after a dilation with a scale factor of 2?

Back

The new coordinates are (4, 6).

Front

What happens to the angles of a figure during dilation?

Back

The angles of a figure remain unchanged during dilation.

Front

If point B(1, -2) is dilated with a scale factor of 1/2, what are the new coordinates?

Back

The new coordinates are (0.5, -1).