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Laabri

Unit 5: Transformations Study Guide (Due 3/4/24)

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9 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

Essential Question: What happens when you apply more than one transformation to a figure?

Learning Target: Students will be able to apply a sequence of transformations on a figure after completing this assignment.

Use complete sentences for credit.

Complete the entire document and show work for full credit.

Essential Question: What happens when you apply more than one transformation to a figure?

Learning Target: Students will be able to apply a sequence of transformations on a figure after completing this assignment.

Use complete sentences for credit.

Complete the entire document and show work for full credit.

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Unit 7 Transformation Review

Translations:

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1.

Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4):

(x, y) → (x – 3, y – 4)

A'

B'

C'

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2.

Translate the triangle ABC with vertices A(-2, 3), B(6, -2), and C(0, 0) with the vector <6,-2>

A'

B'

C'

Reflections:

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3.

Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3): y = x

F'

G'

H'

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4.

Triangle FGH with vertices F(1, 8), G(5, 7), and H(2, 3):

y = - x

F'

G'

H'

Rotations:

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5.

Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 90° counterclockwise

F'

G'

H'

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6.

Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 180°

F'

G'

H'

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Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Triangle FGH with vertices F(-7, 8), G(-1, 1), and H(-8, 4): 270° counterclockwise

F'

G'

H'

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Triangle GHI with vertices G(-1, 6), H(-1, 3), and I(-6, 6):

a) translation along the vector <-2, -5>

G'

H'

I'

b) reflection in the line y = x

G''

H''

I''

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Triangle XYZ with vertices X(-3, 7), Y(-2, 1), and Z(-5, 2):

a) reflection in the x-axis

X'

Y'

Z'

b) rotation 90° counterclockwise

X''

Y''

Z''