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 does a scale factor greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

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

Back

Multiply the coordinates of the point by the scale factor.

Front

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

Back

(4, 6)

Front

What is the image of point B (4, -1) after a dilation with a scale factor of 1/2?

Back

(2, -0.5)

Front

If point C (6, 8) is dilated by a scale factor of 3, what is the new position?

Back

(18, 24)

Front

What is the scale factor if the original length is 4 and the new length is 2?

Back

1/2

Front

What is the scale factor if the original length is 5 and the new length is 15?

Back

3

Front

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

Back

Compare the scale factor to 1; if >1 it's an enlargement, if <1 it's a reduction.