7-Similar Triangles - Kuta Software

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u w KMxaQdpee gwxiQtkhl wIKnqfkiPnriGtGei IG1ejofmDefthr5yC.d. Worksheet by Kuta Software LLC. 7). 25. 30. 15. Q. R. S. 70. 84. 42. T. U. V. ∆TUV ~ ______.
Kuta Software - Infinite Geometry

Name___________________________________

Similar Triangles

Date________________ Period____

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)

D

A H

16

84

72

14

12

39 S U

16

E

G C

8

F

B

48

40

∆CBA ~ ______ T

∆UTS ~ ______ 3)

T

4)

V

49 14 M L

8

V

28

U

T

U J

∆VUT ~ ______

L

K

∆JKL ~ ______ 5)

U

T

6)

88 16 K

25

L

C 107

M

∆KLM ~ ______

S

C

B

B

∆STU ~ ______

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Worksheet by Kuta Software LLC

7)

8)

U

F E

B

G 84

70

C

∆EFG ~ ______ V

T

42 25

Q

R

15 30 S

∆TUV ~ ______ 9)

10)

S

U 18

9 76°

T

V

W

61°

F

H

G

H 61°

21

42

G

76° F

∆HGF ~ ______ ∆FGH ~ ______ 12)

11) 143 R

F

9

E

C

91 E

44

88

10

121

S

D

56

V D

∆FED ~ ______

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27

T

30

U

∆TUV ~ ______

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Worksheet by Kuta Software LLC

Find the missing length. The triangles in each pair are similar. 13)

14)

L

?

U

T

28 60 35° K

J

?

V

R M

K 42 117

130 35° Q

L

P

33

15)

16)

S

9

V 9

P ?

B

6

?

12

Q 12

W 22 T

C

18

R

U

6

Solve for x. The triangles in each pair are similar. 17)

18)

11 x − 4

S

A

R 77

70

C

11 x + 11

B

D

T B

30 60 E D

50

21

C

19)

20)

V

64 J 27 72 T

F

−4 + 4 x U

5 x + 11

88

K

36

W

U 24

S

96

T

18 L

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U

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Similar Triangles

Date________________ Period____

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

not similar

D

2)

similar; SSS similarity; ∆FGH

A H

16

84

72

14

12

39 S U

16

E

G C

8

F

B

48

40

∆CBA ~ ______ T

∆UTS ~ ______ 3)

T

similar; SAS similarity; 4) ∆VLM

similar; AA similarity; ∆TUV

V

49 14 M L

8

V

28

U

T

U J

∆VUT ~ ______

L

K

∆JKL ~ ______ 5)

U

T

not similar

6)

16 K

B 25

L

C 107

M

∆KLM ~ ______

S

C

not similar

88

B

∆STU ~ ______

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Worksheet by Kuta Software LLC

7)

similar; SSS similarity; ∆QRS8)

U

F

not similar

E

B

G 84

70

C

∆EFG ~ ______ V

T

42 25

Q

R

15 30 S

∆TUV ~ ______ 9)

similar; AA similarity; ∆HTS 10)

S

similar; SAS similarity; ∆UV

U 18

9 76°

T

V

W

61°

F

H

G

H 61°

21

42

G

76° F

∆HGF ~ ______ ∆FGH ~ ______ similar; SSS similarity; 12) ∆FRS

11) 143

E R

F

similar; SAS similarity; ∆CDE

9

C

91 E

44

88

10

121

S

D

56

V D

∆FED ~ ______

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27

T

30

U

∆TUV ~ ______

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Worksheet by Kuta Software LLC

Find the missing length. The triangles in each pair are similar. 22

13)

54

14)

L

?

U

T

28 60 35° K

J

?

V

R M

K 42 117

130 35° Q

L

P

33

9

15)

S

11

16) 9

V 9

P ?

B

6

?

12

Q 12

W 22 T

C

18

R

U

6

Solve for x. The triangles in each pair are similar. 8

17)

11 x − 4

S

9

18)

A

R 77

70

C

11 x + 11

B

D

T B

30 60 E D

50

21

C

7

19)

11

20)

V

64 J 27 72 T

F

−4 + 4 x U

5 x + 11

88

K

36

W

U 24

S

96

T

18 L

U

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Worksheet by Kuta Software LLC