Dilations, Rotations, and Reflections

If a shape is dilated, is the new image congruent or similar to its preimage?

• congruent

• similar

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

The point M (4, -5) is rotated 180° around the origin. What are the new coordinates of M'? (Remember, rotating 180 degrees make the coordinates change to their opposites!)

• (4, 5)

• (-4, 5)

• (-4, -5)

• (4, -5)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

A triangle with side lengths 3, 5, 7 is enlarged by a scale factor of 8. What are the side lengths of the enlarged triangle?

• 24, 40, 56

• 11, 13, 15

• 5, 3, 1

• 10, 12, 14

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

A chemical company needs to advertise their product on a billboard. The 10 inch tall bottle will be displayed on a billboard that is 120 inches tall. What scale factor will they use?

• $\frac{1}{20}$

• 20

• 10

• 12

Tags

CCSS.8.EE.B.5

CCSS.8.G.A.3

CCSS.8.G.A.4

What is the rule for rotating a figure 180 degrees

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

What is the rule for rotating a figure 90 degrees counterclockwise

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

What is the rule for rotating a figure 270 degrees counterclockwise

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Rotate the point (5,5) around the origin 180 degrees. State the image of the point.

• (5,-5)
• (5,5)
• (-5,5)
• (-5,-5)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Dilate Point B by a scale factor of 3:

• (12,0)
• (12,12)
• (4,3)
• (0,12)

Tags

CCSS.8.G.A.3

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.

• (2,4.5)
• (-8,-18)
• (8,18)
• (9,4)

Tags

CCSS.8.G.A.3