Unit 3 Geometry Similar Polygons & Interior angles of Parallelograms ...

ID: 1

Unit 3 Geometry Similar Polygons & Interior angles of Parallelograms___________________________________

What is the scale factor?

Date________________ Period____

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State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. 1)

2) W

5

C

V

5

8

B

U

S

10

K

D

6 15

R

9 18

70 35 M

3

T

L

56

RST ~ ______

KLM ~ ______

4)

3) 112

14

K

T

S 48

96 U R

L

18

20

12 P

6

J

14 Q

U

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9

7

STU ~ ______ T

10

J

JKL ~ ______

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Worksheet by Kuta Software LLC

The polygons in each pair are similar. Find the missing side length. Describe the transformation that can be made for the larger polygon to become the smaller polygon. 5)

6)

6

6

3

8

?

3 5

?

8

16

7)

8) 4

4

3

6

12

?

8

5

3

?

9)

10) 14

7

?

3

?

5

6

18 6

12

Find the measurement of all the angles inside the parallelogram. 11)

12)

E

H

Q

130°

R ?

?

F

G

85° P

13) V

S

14)

W

U

R 115°

?

U

41° T

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?

S

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T


ID: 1

Unit 3 Geometry Similar Polygons & Interior angles of Parallelograms___________________________________

What is the scale factor?

Date________________ Period____

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State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement. 1)

2) W

5

C

V

5

8

B

U

S

10

K

D

6 15

R

9 18

70 35 M

3

T

L

56

RST ~ ______

KLM ~ ______

similar; SSS similarity; BCD

similar; SSS similarity; WVU

3)

4) 112

14

K

T

S 48

96 U R

L

18

20

12 P

6

J

14 Q

U

similar; SSS similarity; PQR

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9

7

STU ~ ______ T

10

J

JKL ~ ______ similar; SSS similarity; JTU

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The polygons in each pair are similar. Find the missing side length. Describe the transformation that can be made for the larger polygon to become the smaller polygon. 5)

6)

6

6

3

8

?

3 5

?

8

16

10 3

7)

8) 4

4

3

6

12

?

8

5

3

?

4

15

9)

10) 14

7

?

3

?

5

6

18 6

12

9

10

Find the measurement of all the angles inside the parallelogram. 11)

12)

E

H

Q

130°

R ?

?

F

G

85°

50°

P

S

95°

13) V

14)

W

U

R 115°

?

U

41° T

?

S

T

139°

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65°

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