Dilations 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 scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

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

Back

To find the image of a point after dilation, multiply the coordinates of the point by the scale factor.

Front

What happens to a figure during an enlargement?

Back

During an enlargement, the figure increases in size, and the scale factor is greater than 1.

Front

What happens to a figure during a reduction?

Back

During a reduction, the figure decreases in size, and the scale factor is between 0 and 1.

Front

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

Back

B' (8, 18)

Front

If point B (4, 9) is dilated by a scale factor of 1/2, what is the new position?

Back

B' (2, 4.5)

Front

If point B (4, 9) is dilated by a scale factor of 1/3, what is the new position?

Back

B' (4/3, 3)

Front

What is the effect of a scale factor of 1 on a figure?

Back

A scale factor of 1 means the figure remains the same size; it is unchanged.

Front

How do you determine if a dilation is an enlargement or reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is between 0 and 1, it is a reduction.