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Algebraic Rules for Translations and Rotation

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Algebraic Rules for Translations and Rotation
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which rule would result in a translation of 2 units left and 3 units up?

(x, y) → (2x, 3y)

(x, y) → (x - 2, y + 3)

(x, y) → (-x, -y)

(x, y) → (x + 2, y - 3)

Tags

CCSS.HSG.CO.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Chose the correct transformation:
(x, y) --> (x , y + 2)

Translation 2 units up

Translation 2 units left

Translation 2 units down

Translation 2 units right

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the algebraic notation of a figure is Translated 9 units right and 3 units down?

(x, y) --> (x - 9, y + 3)

(x, y) --> (x + 9, y - 3)

(x, y) --> (x + 3, y - 9)

(x, y) --> (9x, 3y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Rotation Rules (clockwise):

90o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90rotation clockwise?

(1, 3)

(3, 1)

(3, -1)

(1, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

(x, y) --> (x + 2, y - 5)

(x, y) --> (x + 2, y - 9)

(x, y) --> (x - 2, y - 9)

(x, y) --> (x - 2, y + 9)

Tags

CCSS.HSG.CO.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is an example of the algebraic rule for a TRANSLATION?

(3x, 3y)

(x+3, y-2)

(x, -y)

(y, -x)

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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