Dilations Review

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

• True
• False

Tags

CCSS.8.G.A.3

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

• True
• False

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

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

• 2
• 3
• 1/3
• 1/2

Tags

CCSS.8.G.A.3

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

• ½
• ¼
• 4
• 2

Tags

CCSS.8.G.A.3

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)

Tags

CCSS.8.G.A.3

The vertices of △ ABC are located at A(4,8), B(8,0), and C(-8,4). Which sequence of transformations of △ ABC results in △ A′′B′′C′′?

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Tags

CCSS.HSG.CO.A.2

ABC is dilated about P(2, -4) by a scale factor of 3.

FInd the coordinates of B'.

• B'(0, 6)

• B'(-2, 0)

• B'(-4, 4)

• B'(-4, 2)

• B'(-6, 4)

Tags

CCSS.8.G.A.3

ABC is dilated about P(3, -1) by a scale factor of 0.5.

Find the coordinates of A'.

• A'(-2, 5)

• A'(-7, 2)

• A'(-2, 2)

• A'(-3.5, -2.5)

Tags

CCSS.8.G.A.3