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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.

Put the statements in the correct order to complete the proof.

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

Reason #1

1
Question 3
3.

Reason #2

1
Question 4
4.

1
Question 6
6.

Put the statements in the correct order to complete the proof.

  1. LM \cong AB
  2. \angle{A} \cong \angle{L}
  3. \angle{1} \cong \angle{2}
  4. \triangle ABC \cong \triangle LMC
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 7
7.

Reason #1

1
Question 8
8.

Reason #2

1
Question 9
9.

1
Question 11
11.

Put the statements in the correct order to complete the proof.

  1. EF \cong HF
  2. FJ \cong FG
  3. \triangle EFJ \cong \triangle HFG
  4. \angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 12
12.

Reason #1

1
Question 13
13.

Reason #2

1
Question 14
14.

1
Question 16
16.

Put the statements in the correct order to complete the proof.

  1. \triangle GCM \cong \triangle MJG
  2. GC \parallel MJ
  3. GC \cong MJ
  4. GM \cong GM
  5. \angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 17
17.

Reason #1

1
Question 18
18.

Reason #2

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1
1
Question 22
22.

Put the statements in the correct order to complete the proof.

  1. B is the midpoint of AC
  2. AB \cong CB
  3. DB \cong DB
  4. \triangle ABD \cong \triangle CBD
  5. AD \cong CD
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 23
23.

Reason #1

1
Question 24
24.

Reason #2

1
1
1
Question 28
28.

Put the statements in the correct order to complete the proof.

  1. \angle{3} \cong \angle{4}
  2. MO \cong OP
  3. RO \cong RO
  4. RO \perp MP
  5. \angle{3} and \angle{4} are right angles
  6. \triangle MRO \cong \triangle PRO
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 29
29.

Reason #1

1
Question 30
30.

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1
1
1
Question 35
35.

Put the statements in the correct order to complete the proof.

  1. \triangle ABD \cong \triangle DCA
  2. \angle{C} \cong \angle{B}
  3. \angle{1} \cong \angle{2}
  4. AC \parallel BD
  5. AD \cong AD
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 36
36.

Reason #1

1
Question 37
37.

Reason #2

1
1
1
Question 41
41.

Put the statements in the correct order to complete the proof.

  1. O is the midpoint of AY
  2. \triangle ZOA \cong \triangle XOY
  3. O is the midpoint of ZX
  4. ZO \cong XO
  5. \angle{1} \cong \angle{2}
  6. YO \cong AO
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 42
42.

Reason #1

1
Question 43
43.

1
1
1
1
Question 48
48.

Put the statements in the correct order to complete the proof.

  1. AD \cong BC
  2. AC \cong AC
  3. \angle{B} and \angle{D} are right angles
  4. AD \perp DC
  5. \angle{B} \cong \angle{D}
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 49
49.

Reason #1

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1
1
1
1
1
Question 56
56.

Put the statements in the correct order to complete the proof.

  1. \triangle SQR \cong \triangle VQT
  2. \angle{1} \cong \angle{2}
  3. SQ \cong VQ
  4. RT bisects SV
  5. TQ \cong RQ
  6. SV bisects RT
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 57
57.

Reason #1

1
Question 58
58.

1
1
1
1
Question 63
63.

Put the statements in the correct order to complete the proof.

  1. \triangle ACD \cong \triangle ECB
  2. BE \parallel AD
  3. \angle{3} \cong \angle{4}
  4. C is the midpoint of AE
  5. AC \cong EC
  6. \angle{B} \cong \angle{D}
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 64
64.

Reason #1

1
Question 65
65.

1
1
1
1
Question 70
70.

Put the statements in the correct order to complete the proof.

  1. PN bisects \angle{MNO}
  2. MN \cong NO
  3. \triangle MNP \cong \triangle ONP
  4. \angle{2} \cong \angle{3}
  5. NP \cong NP
Using the correct order of the proof completed above, state the reasons for each step.
1
Question 71
71.

Reason #1

1
Question 72
72.

Reason #2

1
1
1
Reason #3
Question 5
5.

Reason #4

Reason #3
Question 10
10.

Reason #4

Reason #3
Question 15
15.

Reason #4

Question 19
19.

Reason #3

Question 20
20.

Reason #4

Question 21
21.

Reason #5

Question 25
25.

Reason #3

Question 26
26.

Reason #4

Question 27
27.

Reason #5

Reason #2
Question 31
31.

Reason #3

Question 32
32.

Reason #4

Question 33
33.

Reason #5

Question 34
34.

Reason #6

Question 38
38.

Reason #3

Question 39
39.

Reason #4

Question 40
40.

Reason #5

Reason #2
Question 44
44.

Reason #3

Question 45
45.

Reason #4

Question 46
46.

Reason #5

Question 47
47.

Reason #6

\triangle ABC \cong \triangle CDA
AB \perp BC
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

Reason #2
Question 59
59.

Reason #3

Question 60
60.

Reason #4

Question 61
61.

Reason #5

Question 62
62.

Reason #6

Reason #2
Question 66
66.

Reason #3

Question 67
67.

Reason #4

Question 68
68.

Reason #5

Question 69
69.

Reason #6

Question 73
73.

Reason #3

Question 74
74.

Reason #4

Question 75
75.

Reason #5