Every proof in this review 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.
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1
Question 1
1.
Put the statements in the correct order to complete the proof.
\triangle ABD \cong \triangle CDB
\angle{1} \cong \angle{4}
AD \parallel CB
DB \cong DB
AD \cong CB
Using the correct order of the proof completed above, state the reasons for each step.
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Question 2
2.
Reason #1
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1
Question 3
3.
Reason #2
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1
Question 4
4.
Reason #3
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1
Question 5
5.
Reason #4
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1
Question 6
6.
Reason #5
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1
Question 7
7.
Put the statements in the correct order to complete the proof.
AB \cong DE
\triangle ABC \cong \triangle CDE
\angle{B} \cong \angle{E}
\angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 8
8.
Reason #1
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1
Question 9
9.
Reason #2
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1
Question 10
10.
Reason #3
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1
Question 11
11.
Reason #4
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Question 12
12.
Put the statements in the correct order to complete the proof.
WY \perp UX
\angle{1} and \angle{2} are right angles
\triangle WUY \cong \triangle WXY
Y is the midpoint of UX
\angle{1} \cong \angle{2}
YW \cong YW
UY \cong XY
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 13
13.
Reason #1
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1
Question 14
14.
Reason #2
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1
Question 15
15.
Reason #3
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1
Question 16
16.
Reason #4
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1
Question 17
17.
Reason #5
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1
Question 18
18.
Reason #6
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1
Question 19
19.
Reason #7
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1
Question 20
20.
Put the statements in the correct order to complete the proof.
AC bisects \angle{BAD}
CA \cong CA
AB \cong AD
\angle{1} \cong \angle{2}
\triangle ABC \cong \triangle ADC
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 21
21.
Reason #1
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1
Question 22
22.
Reason #2
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1
Question 23
23.
Reason #3
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1
Question 24
24.
Reason #4
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1
Question 25
25.
Reason #5
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1
Question 26
26.
Put the statements in the correct order to complete the proof.
\angle{M} \cong \angle{P}
\triangle QMN \cong \triangle NPQ
NQ \cong NQ
MN \cong QP
\angle{M} and \angle{P} are right angles
MQ \perp MN, NP \perp PQ
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 27
27.
Reason #1
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1
Question 28
28.
Reason #2
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1
Question 29
29.
Reason #3
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1
Question 30
30.
Reason #4
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1
Question 31
31.
Reason #5
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1
Question 32
32.
Reason #6
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1
Question 33
33.
Put the statements in the correct order to complete the proof.
\angle{J} \cong \angle{M}
JK \perp JM, MN \perp JM
JK \cong MN
\triangle KJL \cong \triangle NML
KL \cong NL
\angle{1} \cong \angle{2}
\angle{J} and \angle{M} are right angles
L is the midpoint of KN
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 34
34.
Reason #1
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1
Question 35
35.
Reason #2
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1
Question 36
36.
Reason #3
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1
Question 37
37.
Reason #4
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1
Question 38
38.
Reason #5
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1
Question 39
39.
Reason #6
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1
Question 40
40.
Reason #7
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1
Question 41
41.
Reason #8
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1
Question 42
42.
Put the statements in the correct order to complete the proof.
\triangle ADC \cong \triangle CBA
\angle{DAC} \cong \angle{BCA}
AC \cong AC
\angle{B} \cong \angle{D}
AB \parallel DC
\angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 43
43.
Reason #1
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1
Question 44
44.
Reason #2
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1
Question 45
45.
Reason #3
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1
Question 46
46.
Reason #4
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1
Question 47
47.
Reason #5
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1
Question 48
48.
Reason #6
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1
Question 49
49.
Put the statements in the correct order to complete the proof.
\angle{W} \cong \angle{Y}
\angle{1} \cong \angle{2}
\triangle WXV \cong \triangle YZV
WV \cong VY
\angle{X} \cong \angle{Z}
V is the midpoint of WY
Using the correct order of the proof completed above, state the reasons for each step.