Rotations and Dilations in a coordinate plane

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• reflection
• translation
• rotation
• dilation

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

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 270 degrees counterclockwise

• (-y, x)

• (-x, -y)

• (y, -x)

• (-y, -x)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)
• (-3, -5)
• (-5, 3)
• (-3, 3)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

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

How many degrees was the figure rotated?

• 90 degrees counterclockwise 
• 180 degrees
• 90 degrees clockwise

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Identify the type of dilation for the scale factor k=1/2.

• Reduction

• Enlargement

• Isometry

• None of these

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

Identify the type of dilation given the scale factor k=5/4

• Reduction

• Enlargement

• Isometry

• None of these

Tags

CCSS.8.G.A.3

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A
• B
• C
• D

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

Triangle ABC has vertices at A(2,3) B(-5,-1) C(0,5). Its image, Triangle A'B'C', has vertices at A'(4,6) B'(-10,-2) and C'(0,10). What is the scale factor?