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5.4 Worksheet

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Last updated almost 4 years ago
75 questions
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Every proof in this worksheet is displayed in two different sections. In the first section, reorder the statements in the correct order. In the second section, using the correct order from the first section, determine each reason associated with each correct statement.
Question 1
1.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 6
6.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 11
11.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 16
16.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 22
22.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 28
28.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 35
35.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 41
41.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 48
48.

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Question 56
56.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 63
63.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 70
70.

Using the correct order of the proof completed above, state the reasons for each step.
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Put the statements in the correct order to complete the proof.
\triangle ABD \cong \triangle CBD
AB \cong CB
BD \cong BD
\angle{1} \cong \angle{2}
Question 2
2.

Reason #1

Question 3
3.

Reason #2

Question 4
4.

Reason #3

Question 5
5.

Reason #4

Put the statements in the correct order to complete the proof.
\angle{1} \cong \angle{2}
LM \cong AB
\angle{A} \cong \angle{L}
\triangle ABC \cong \triangle LMC
Question 7
7.

Reason #1

Question 8
8.

Reason #2

Question 9
9.

Reason #3

Question 10
10.

Reason #4

Put the statements in the correct order to complete the proof.
\triangle EFJ \cong \triangle HFG
EF \cong HF
FJ \cong FG
\angle{1} \cong \angle{2}
Question 12
12.

Reason #1

Question 13
13.

Reason #2

Question 14
14.

Reason #3

Question 15
15.

Reason #4

Put the statements in the correct order to complete the proof.
GC \cong MJ
GC \parallel MJ
GM \cong GM
\triangle GCM \cong \triangle MJG
\angle{1} \cong \angle{2}
Question 17
17.

Reason #1

Question 18
18.

Reason #2

Question 19
19.

Reason #3

Question 20
20.

Reason #4

Question 21
21.

Reason #5

Put the statements in the correct order to complete the proof.
DB \cong DB
AB \cong CB
B is the midpoint of AC
AD \cong CD
\triangle ABD \cong \triangle CBD
Question 23
23.

Reason #1

Question 24
24.

Reason #2

Question 25
25.

Reason #3

Question 26
26.

Reason #4

Question 27
27.

Reason #5

Put the statements in the correct order to complete the proof.
\angle{3} and \angle{4} are right angles
RO \perp MP
\triangle MRO \cong \triangle PRO
RO \cong RO
\angle{3} \cong \angle{4}
MO \cong OP
Question 29
29.

Reason #1

Question 30
30.

Reason #2

Question 31
31.

Reason #3

Question 32
32.

Reason #4

Question 33
33.

Reason #5

Question 34
34.

Reason #6

Put the statements in the correct order to complete the proof.
\triangle ABD \cong \triangle DCA
\angle{C} \cong \angle{B}
\angle{1} \cong \angle{2}
AC \parallel BD
AD \cong AD
Question 36
36.

Reason #1

Question 37
37.

Reason #2

Question 38
38.

Reason #3

Question 39
39.

Reason #4

Question 40
40.

Reason #5

Put the statements in the correct order to complete the proof.
YO \cong AO
O is the midpoint of ZX
O is the midpoint of AY
\triangle ZOA \cong \triangle XOY
\angle{1} \cong \angle{2}
ZO \cong XO
Question 42
42.

Reason #1

Question 43
43.

Reason #2

Question 44
44.

Reason #3

Question 45
45.

Reason #4

Question 46
46.

Reason #5

Question 47
47.

Reason #6

Put the statements in the correct order to complete the proof.
\triangle ABC \cong \triangle CDA
AD \cong BC
\angle{B} \cong \angle{D}
AC \cong AC
\angle{B} and \angle{D} are right angles
AD \perp DC
AB \perp BC
Using the correct order of the proof completed above, state the reasons for each step.
Question 49
49.

Reason #1

Question 50
50.

Reason #2

Question 51
51.

Reason #3

Question 52
52.

Reason #4

Question 53
53.

Reason #5

Question 54
54.

Reason #6

Question 55
55.

Reason #7

Put the statements in the correct order to complete the proof.
\angle{1} \cong \angle{2}
\triangle SQR \cong \triangle VQT
TQ \cong RQ
RT bisects SV
SQ \cong VQ
SV bisects RT
Question 57
57.

Reason #1

Question 58
58.

Reason #2

Question 59
59.

Reason #3

Question 60
60.

Reason #4

Question 61
61.

Reason #5

Question 62
62.

Reason #6

Put the statements in the correct order to complete the proof.
\angle{3} \cong \angle{4}
C is the midpoint of AE
\angle{B} \cong \angle{D}
\triangle ACD \cong \triangle ECB
AC \cong EC
BE \parallel AD
Question 64
64.

Reason #1

Question 65
65.

Reason #2

Question 66
66.

Reason #3

Question 67
67.

Reason #4

Question 68
68.

Reason #5

Question 69
69.

Reason #6

Put the statements in the correct order to complete the proof.
NP \cong NP
MN \cong NO
PN bisects \angle{MNO}
\angle{2} \cong \angle{3}
\triangle MNP \cong \triangle ONP
Question 71
71.

Reason #1

Question 72
72.

Reason #2

Question 73
73.

Reason #3

Question 74
74.

Reason #4

Question 75
75.

Reason #5