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What is a dilation in geometry?

Back

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

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What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure will be enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

Front

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

Back

The new coordinates A' after dilation are given by A'(kx, ky).

Front

What happens to the coordinates of a point when dilated by a scale factor of 1?

Back

When a point is dilated by a scale factor of 1, its coordinates remain unchanged.

Front

How do you find the coordinates of a point after dilation by a scale factor of 2?

Back

To find the new coordinates, multiply each coordinate of the original point by 2.

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If point B(1, 3) is dilated by a scale factor of 3, what are the new coordinates?

Back

B' = (3, 9) after applying the scale factor of 3.

Front

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

Back

A negative scale factor not only changes the size of the figure but also reflects it across the center point.

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