Transformation - Dilation Practice

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 point and a scale factor.

Front

What does the scale factor in a dilation represent?

Back

The scale factor indicates how much the figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor less than 1 reduces it.

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 1?

Back

The coordinates remain unchanged; the point does not move.

Front

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

Back

A negative scale factor reflects the figure across the center point and changes its size.

Front

How do you find the image of a point under dilation with center at the origin?

Back

Multiply each coordinate of the point by the scale factor.

Front

What is the dilation rule for a scale factor of 1/2?

Back

The dilation rule is (1/2 x, 1/2 y), which reduces the size of the figure by half.

Front

If point B (4, 9) is dilated by a scale factor of 2, what are the new coordinates?

Back

B' (8, 18).

Front

True or False: A dilation with a scale factor less than one is a reduction.

Back

True.

Front

What is the dilation rule if point A (2, 3) is dilated to A' (3, 4.5)?

Back

The dilation rule is (3/2 x, 3/2 y).