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Reflection, Rotation, and Translation

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Reflection, Rotation, and Translation
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9 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How far has the figure been rotated?

45°

90°

180°

360°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

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