8-4 Dilations

Match the terms with their definitions.

• A transformation that turns a figure around a point.

• Reflection

• A transformation that flips a figure across a line.

• Rotation

• A transformation that slides a figure.

• Translation

• A transformation that makes a scale copy

• Dilation

Two figures are congruent if they have the _______ shape and _______ size.

• Different, Same
• Same, Same
• Same, Different
• Different, Different

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

• True
• False

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

• (5,3)
• (20,12)
• (-20,-12)
• (-5,-3)

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

• 2
• 3
• 1/3
• 1/2

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

• (-3, 3)
• (-12, 12)
• (-2, 2)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)
• (12, 6)
• (3, -1.5)
• (0, 1.5)

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 1/2.
• It's an enlargement; the scale factor is 2.
• It's a reduction; the scale factor is 1/2.
• It's a reduction; the scale factor is 2.