Reflection, Rotation, and Translation

Which reflection does the image show?

• Reflection across the x-axis according to the rule (x, y) → (x, −y)

• Reflection across the y-axis according to the rule (x, y) → (x, −y)

• Reflection across the x-axis according to the rule (x, y) → (−x, y)

• Reflection across the y-axis according to the rule (x, y) → (−x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How far has the figure been rotated?

• 45°

• 90°

• 180°

• 360°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The rectangle above is rotated 90° clockwise. Which shows the image of the rectangle after the rotation?

• Graph F

• Graph G

• Graph H

• Graph J

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle XYZ is translated so that X′ is at (4, –2). Which rule defines this translation?

• (x + 2, y – 6)

• (x – 6, y + 2)

• (2x, y – 6)

• (x – 2, y + 6)

Tags

CCSS.HSG.CO.A.2

The point (a, b) is reflected over the y-axis, then the x-axis, then the y-axis again, and then the y-axis again. What are the coordinates of the new point?

• (−a, b)

• (−a, −b)

• (a, −b)

• (a, b)

Tags

CCSS.8.G.A.3

A reflection is applied to triangle ABC according to the rule (x, y) → (x, –y). Which of the following will describe the effect of the reflection?

• A′ will stay as the top vertex.

• C′ will now be the top vertex.

• C′ will stay as the bottom vertex.

• B′ will be the bottom vertex.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A figure has a vertex at (a, b), in which a is a positive integer and b is a positive integer. What is the algebraic rotation rule that takes the figure to Quadrant III?

• (x, y) → (y, −x)

• (x, y) → (−x, −y)

• (x, y) → (−y, x)

• (x, y) → (x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle ABC is rotated 270° counterclockwise about the origin. Which is the algebraic rule applied to one of the vertices?

• (−1, −4) → (−4, 1)

• (−4, −1) → (−4 + 5, 1 + 3)

• (−4, 1) → (−1, −(−4))

• (−4, 1) → (1, −(−4))

Tags

CCSS.HSG.CO.B.6

What type of transformation changed Shape A to Shape B?

• slide

• flip

• turn

• jump

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5