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Triangles and Proportions, Lecture notes of Geometry

#40 Practice Test B. Triangles and Proportions ... State if the triangles in each pair are similar. If so, state how you know they are similar and.

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2022/2023

Uploaded on 05/11/2023

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Worksheet by Kuta Software LLC
#40 Practice Test B
Triangles and Proportions
Name___________________________________ ID: 1
Date________________ Period____
©c A2r0Y1C5l ]KZuxtJaY BSCoufKttwNatrfen BLAL_Cs.r H KArlrlF Groi^gfhgtDsn \roe[sJetrbv_eRdP.
-1-
Find the missing length. The triangles in each pair are similar.
1)
21
?
71 °
C
D
E
49
77
71 °
S
T
U
2)
100
120
70
F
GH
10
12
?
L
M
State if the triangles in each pair are similar. If so, state how you know they are similar and
complete the similarity statement.
3)
9
28
10
B
C
D
27
21
30
H
G
BCD ~ ______
4)
39 °
47 °
C
G
H
39 °
47 °
C
D
E
CDE ~ ______
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff

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#40 Practice Test B

Triangles and Proportions

Name___________________________________ ID: 1

Date________________ Period____

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

?

C

D

E

T S

U

F

G H

?

M^ L

State if the triangles in each pair are similar. If so, state how you know they are similar and

complete the similarity statement.

C^ B

D

H

G

BCD ~ ______

C

G

H

C

E^ D

CDE ~ ______

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(^3630) U T 50 60 G H F FGH ~ ______

3 5 C D 12 15 G H F FGH ~ ______ Solve for x****.

16 14 6 3 x + 3

2 x - 2 21 6 8 The polygons in each pair are similar. Find the missing side length.

B^15 A^? scale factor from A to B = 3 : 5

21 B^?^ A scale factor from A to B = 2 : 3 State if the polygons are similar.

8 4 8 4 40 20 40 20

4

6

6

12

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#40 Practice Test B

Triangles and Proportions

Name___________________________________ ID: 2

Date________________ Period____

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

?^35

U V

L M

N

?

U

T

S

D E

C

State if the triangles in each pair are similar. If so, state how you know they are similar and

complete the similarity statement.

U

T

G

H

F

FGH ~ ______

U

B A

U

W^ V

UVW ~ ______

C

D

S

T

R

RST ~ ______

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78 121 (^154 ) U V W 65 55 K L UVW ~ ______ Solve for x****.

10 6 2 x - 1

2 x - 1 14 3 6 The polygons in each pair are similar. Find the missing side length.

35 A ? B scale factor from A to B = 5 : 6

? A 9 B scale factor from A to B = 1 : 3 State if the polygons are similar.

28 24 28 24 35 30 35 30

8 16 8 16 45 ° 20 40 20 40 125 °

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#40 Practice Test B

Triangles and Proportions

Name___________________________________ ID: 3

Date________________ Period____

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

?

D

F E

T

U

V

R

S

?

G

F

H

State if the triangles in each pair are similar. If so, state how you know they are similar and

complete the similarity statement.

U^ V

M

N

L

LMN ~ ______

D 13

C

B

F E

G

EFG ~ ______

L

K

J

R

T S

RST ~ ______

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G H T S U UTS ~ ______ Solve for x****.

6 x - 2 2 3

14 4 2 x^ -^1 12 The polygons in each pair are similar. Find the missing side length.

5 A ? B scale factor from A to B = 1 : 4

14 A ? B scale factor from A to B = 2 : 3 State if the polygons are similar.

4 6 4 6 16 24 16 24

24 15 24 15 32 20 32 20

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#40 Practice Test B

Triangles and Proportions

Name___________________________________ ID: 4

Date________________ Period____

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

G^ F

?

B

A

C

D C

B

?

N

M

State if the triangles in each pair are similar. If so, state how you know they are similar and

complete the similarity statement.

E 9

F

G

U T

S

UTS ~ ______

G F

L K

J

JKL ~ ______

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36 24 33 22 A C^ B 12 7 U T ABC ~ ______

B^ C A E F D FED ~ ______ Solve for x****.

36 18 8 2 x - 4

15 x + 1 10 16 The polygons in each pair are similar. Find the missing side length.

? A 24 B scale factor from A to B = 3 : 4

5 A ? B scale factor from A to B = 1 : 5 State if the polygons are similar.

6 6 6 6 100 ° 8 12 8 12 80 °

6 7 6 7 10 14 10 14

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#40 Practice Test B

Triangles and Proportions

Name___________________________________ ID: 5

Date________________ Period____

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

C B

S T

R

U T

V

?

M

L

State if the triangles in each pair are similar. If so, state how you know they are similar and

complete the similarity statement.

F

D E

K

L

M

KLM ~ ______

E F

D

K L

M

KLM ~ ______

A^ B

S T

R

RST ~ ______

W

V U

A

B

C

ABC ~ ______

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20 10 6 2 x + 4

10 2 x - 14 5 1 The polygons in each pair are similar. Find the missing side length.

6 A ? B scale factor from A to B = 1 : 3

10 A ? B scale factor from A to B = 2 : 3 State if the polygons are similar.

16 10 16 10 40 25 40 25

24 12 24 12 28 16 28 16