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.
1 point
1
Question 1
1.
Put the statements in the correct order to complete the proof.
\angle{B} \cong \angle{C}
AC \cong BD
AD \cong AD
AB \cong CD
\triangle ACD \cong \triangle DBA
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.
RT \cong RT
\angle{S} \cong \angle{E}
\triangle SRT \cong \triangle ERT
RS \cong RE
RT bisects \angle{SRE}
\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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1
Question 12
12.
Reason #5
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1
Question 13
13.
Reason #6
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1
Question 14
14.
Put the statements in the correct order to complete the proof.
\angle{3} \cong \angle{4}
\angle{1} \cong \angle{2}
GD \cong KD
WD bisects \angle{D}
WD \cong WD
\triangle WGD \cong \triangle WKD
WD bisects \angle{W}
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 15
15.
Reason #1
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1
Question 16
16.
Reason #2
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1
Question 17
17.
Reason #3
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1
Question 18
18.
Reason #4
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1
Question 19
19.
Reason #5
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1
Question 20
20.
Reason #6
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1
Question 21
21.
Reason #7
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1
Question 22
22.
Put the statements in the correct order to complete the proof.
V is the midpoint of MX and RT
MT \cong RX
RV \cong TV
MV \cong XV
\triangle MTV \cong \triangle XRV
\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 23
23.
Reason #1
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1
Question 24
24.
Reason #2
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1
Question 25
25.
Reason #3
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1
Question 26
26.
Reason #4
1 point
1
Question 27
27.
Reason #5
1 point
1
Question 28
28.
Reason #6
1 point
1
Question 29
29.
Put the statements in the correct order to complete the proof.
\triangle MNO \cong \triangle OPM
OP \cong MN
MP \cong ON
MO \cong MO
\angle{N} \cong \angle{P}
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 30
30.
Reason #1
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1
Question 31
31.
Reason #2
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1
Question 32
32.
Reason #3
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1
Question 33
33.
Reason #4
1 point
1
Question 34
34.
Reason #5
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1
Question 35
35.
Put the statements in the correct order to complete the proof.
US \cong US
RU \cong TS
\angle{1} \cong \angle{4}
UT \cong SR
\triangle RUS \cong \triangle TSU
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 36
36.
Reason #1
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1
Question 37
37.
Reason #2
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1
Question 38
38.
Reason #3
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1
Question 39
39.
Reason #4
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1
Question 40
40.
Reason #5
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1
Question 41
41.
Put the statements in the correct order to complete the proof.
AC \cong AC
\angle{B} \cong \angle{D}
\triangle ABD \cong \triangle DCA
AD \cong BC
\angle{1} \cong \angle{2}
\angle{B} and \angle{D} are right angles
AB \perp BC, AD \perp DC
Using the correct order of the proof completed above, state the reasons for each step.
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1
Question 42
42.
Reason #1
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1
Question 43
43.
Reason #2
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1
Question 44
44.
Reason #3
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1
Question 45
45.
Reason #4
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1
Question 46
46.
Reason #5
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1
Question 47
47.
Reason #6
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1
Question 48
48.
Reason #7
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1
Question 49
49.
Put the statements in the correct order to complete the proof.
GF \cong JK
FH \cong HJ
H is the midpoint of FJ
\angle{G} \cong \angle{K}
\triangle GFH \cong \triangle KJH
\angle{1} \cong \angle{2}
GF \parallel JK
Using the correct order of the proof completed above, state the reasons for each step.