Unit 3 Test Prep

Name___________________________________

Geometry

Date________________ Period____

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Translations: 1,3,5 go together & 2,4,6 go together. 1)

2)

y

y

J'

L'

J

L

D U'

x

x

U

D'

Q' I

W I'

Q W'

3) D' ( , ) W' ( , ) I' ( , )

4) J' L' Q' U'

5) a) Vertical Tanslation = -2

yes

b) Vertical Tanslation = 2

or no

( ( ( (

, , , ,

) ) ) )

6) a) Vertical Tanslation = 1

yes

or no

yes

or no

b) Vertical Tanslation = -1

yes

or no

c) Horizontal Translation = 1 yes

or no

c) Horizontal Translation = 2

yes

or no

d) Horizontal Translation = -2 yes

or no

d) Horizontal Translation = -2 yes

or no

Write a rule to describe each transformation. 7)

8)

yK'

y

N'

Q Q'

N

E' E

A'

x

T'

T

A

x

K

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Worksheet by Kuta Software LLC

9)

10)

y

y

P'

X'

C'

I'

C'

x

X

x

S' S C C

I

P

A) rotation 180° about the origin B) rotation 90° counterclockwise about the origin C) reflection across y = −2 D) rotation 90° clockwise about the origin 11)

12)

y

S U

A) rotation 180° about the origin B) translation: 5 units right and 4 units up C) rotation 90° counterclockwise about the origin D) rotation 90° clockwise about the origin B

Y

F

K

y

M W

K' x

x

U'

W'

S'

M'

Y'

A) B) C) D)

F'

reflection across x = 3 reflection across the x-axis rotation 180° about the origin rotation 90° counterclockwise about the origin

B'

A) reflection across the x-axis B) rotation 90° counterclockwise about the origin C) rotation 180° about the origin D) reflection across x = 1

Find the measure of each angle indicated. 13)

14) 134° 110° ?

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?

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Worksheet by Kuta Software LLC

15)

16) ? ?

56° 60°

17)

18) ?

?

84°

82°

19)

20) 63° 69° ? ?

Find the coordinates of the vertices of each figure after the given transformation. 21) rotation 90° clockwise about the origin

22) reflection across the y-axis

y

y

K

J

V x

x

U

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V

Q

E

L

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Worksheet by Kuta Software LLC

Find the missing length. The triangles in each pair are similar. 24)

23) 72

D

E

P 10

64° ? ?

Q

R C

25

J

Q

L

64° 5

S

A) 45 C) 68

50

R

8

B) 62 D) 39 K

A) 6 C) 7

B) 5 D) 3

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure. 25)

26)

10

5 10

5 21

7

5 15

Find the measurement indicated in each parallelogram. 27)

28)

U

V

B

C ?

?

73°

100°

T

W

A

D

Write a rule to describe each transformation. 29)

30)

y

S

y

M S'

S

D'

D I'

I

E'

E

L W

x

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x

W' L'

M' S'

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Worksheet by Kuta Software LLC

ID: 1

Unit 3 Test Prep

Name___________________________________

Geometry

Date________________ Period____

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Translations: 1,3,5 go together & 2,4,6 go together. 1)

translation: 1 unit2) right and 2 units down

y

translation: 2 units right an

y

J'

L'

J

L

D U'

x

x

U

D'

Q' I

W I'

Q W'

3) D' ( , ) D'(4,-2) W'(2,-5) I'(0,-5) W' ( , ) I' ( , ) 5) a) Vertical Tanslation = -2

yes

b) Vertical Tanslation = 2

4) J' L' Q' U'

( ( ( (

, , , ,

) J'(-2,3) L'(3,3) Q'(1,-2) U'(-2,0) ) ) )

or noB and C 6) a) Vertical Tanslation = 1

yes

or no A and C

yes

or no

b) Vertical Tanslation = -1

yes

or no

c) Horizontal Translation = 1 yes

or no

c) Horizontal Translation = 2

yes

or no

d) Horizontal Translation = -2 yes

or no

d) Horizontal Translation = -2 yes

or no

Write a rule to describe each transformation. 7)

reflection across the 8) x-axis

yK'

N'

Q Q'

reflection across the y-axis

y

N

E' E

A'

x

T'

T

A

x

K

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Worksheet by Kuta Software LLC

9)

10)

y

y

P'

X'

C'

I'

C'

x

X

x

S' S C C

I

P

A) rotation 180° about the origin B) rotation 90° counterclockwise about the origin C) reflection across y = −2 *D) rotation 90° clockwise about the origin 11)

12)

y

S

*A) rotation 180° about the origin B) translation: 5 units right and 4 units up C) rotation 90° counterclockwise about the origin D) rotation 90° clockwise about the origin B

Y

F

K

y

M W

U

K' x

x

U'

W'

S'

M'

Y'

A) B) *C) D)

F'

reflection across x = 3 reflection across the x-axis rotation 180° about the origin rotation 90° counterclockwise about the origin

B'

A) reflection across the x-axis B) rotation 90° counterclockwise about the origin *C) rotation 180° about the origin D) reflection across x = 1

Find the measure of each angle indicated. 110°

13)

134°

14) 134°

110° ?

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?

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Worksheet by Kuta Software LLC

120°

15)

56°

16) ?

?

56° 60°

82°

17)

84°

18)

?

?

84°

82°

69°

19)

63°

20) 63°

69° ? ?

Find the coordinates of the vertices of each figure after the given transformation.

), J'reflection (3, −3), U'across (−1, −1the ) y-axis 21) rotation 90° clockwise about the originV'(1, 0), K'(3, 022) y

E'(5, −3), V'(3, −2), Q'(2,

y

K

J

V x

x

U

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V

Q

E

L

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Worksheet by Kuta Software LLC

Find the missing length. The triangles in each pair are similar. 24)

23) 72

D

E

P 10

64° ? ?

Q

R C

25

J

Q

L

64° 5

S

*A) 45 C) 68

50

R

8

B) 62 D) 39 K

A) 6 C) 7

*B) 5 D) 3

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger figure. 25)

1:2

10

1:3

26)

5 10

5 21

7

5 15

Find the measurement indicated in each parallelogram. 73°

27)

U

28)

V

100° B

C ?

?

73°

100°

T

W

A

D

Write a rule to describe each transformation. 29)

reflection across30) the y-axis

y

S

reflection across the x-ax

y

M S'

S

D'

D I'

I

E'

E

L W

x

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x

W' L'

M' S'

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Worksheet by Kuta Software LLC