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5.5 Worksheet

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Last updated almost 4 years ago
56 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 7
7.

Using the correct order of the proof completed above, state the reasons for each step.
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Question 14
14.

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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 29
29.

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.

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Question 49
49.

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Put the statements in the correct order to complete the proof.
AC \cong BD
\triangle ACD \cong \triangle DBA
AB \cong CD
\angle{B} \cong \angle{C}
AD \cong AD
Question 2
2.

Reason #1

Question 3
3.

Reason #2

Question 4
4.

Reason #3

Question 5
5.

Reason #4

Question 6
6.

Reason #5

Put the statements in the correct order to complete the proof.
\triangle SRT \cong \triangle ERT
RT bisects \angle{SRE}
\angle{S} \cong \angle{E}
\angle{1} \cong \angle{2}
RT \cong RT
RS \cong RE
Question 8
8.

Reason #1

Question 9
9.

Reason #2

Question 10
10.

Reason #3

Question 11
11.

Reason #4

Question 12
12.

Reason #5

Question 13
13.

Reason #6

Put the statements in the correct order to complete the proof.
WD bisects \angle{D}
WD \cong WD
\angle{1} \cong \angle{2}
WD bisects \angle{W}
\triangle WGD \cong \triangle WKD
\angle{3} \cong \angle{4}
GD \cong KD
Using the correct order of the proof completed above, state the reasons for each step.
Question 15
15.

Reason #1

Question 16
16.

Reason #2

Question 17
17.

Reason #3

Question 18
18.

Reason #4

Question 19
19.

Reason #5

Question 20
20.

Reason #6

Question 21
21.

Reason #7

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}
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

Question 28
28.

Reason #6

Put the statements in the correct order to complete the proof.
OP \cong MN
MO \cong MO
\angle{N} \cong \angle{P}
MP \cong ON
\triangle MNO \cong \triangle OPM
Question 30
30.

Reason #1

Question 31
31.

Reason #2

Question 32
32.

Reason #3

Question 33
33.

Reason #4

Question 34
34.

Reason #5

Put the statements in the correct order to complete the proof.
US \cong US
\triangle RUS \cong \triangle TSU
RU \cong TS
UT \cong SR
\angle{1} \cong \angle{4}
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.
\angle{B} and \angle{D} are right angles
AC \cong AC
\triangle ABD \cong \triangle DCA
\angle{1} \cong \angle{2}
AB \perp BC, AD \perp DC
\angle{B} \cong \angle{D}
AD \cong BC
Using the correct order of the proof completed above, state the reasons for each step.
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

Question 48
48.

Reason #7

Put the statements in the correct order to complete the proof.
\angle{G} \cong \angle{K}
FH \cong HJ
GF \cong JK
H is the midpoint of FJ
\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.
Question 50
50.

Reason #1

Question 51
51.

Reason #2

Question 52
52.

Reason #3

Question 53
53.

Reason #4

Question 54
54.

Reason #5

Question 55
55.

Reason #6

Question 56
56.

Reason #7