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2.3 Worksheet

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Last updated over 3 years ago
50 questions
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Write a reason for each step in the algebraic proof below:
1
Question 1
1.

Reason #1

1
Question 2
2.

Reason #2

1
Question 3
3.

Reason #3

1
Write a reason for each step in the algebraic proof below:
1
Question 5
5.

Reason #1

1
Question 6
6.

Reason #2

1
Question 7
7.

Reason #3

1
Write a reason for each step in the algebraic proof below:
1
Question 9
9.

Reason #2

1
Question 10
10.

Reason #3

Write a reason for each step in the algebraic proof below:
1
Question 11
11.

Reason #2

1
Question 12
12.

Reason #3

1
Question 13
13.

Reason #4

Write a reason for each step in the algebraic proof below:
1
Question 14
14.

Reason #2

1
Question 15
15.

Reason #3

1
Question 16
16.

Reason #4

1
Write a reason for each step in the algebraic proof below:
1
Question 18
18.

Reason #2

1
Question 19
19.

Reason #3

1
Question 20
20.

Reason #4

1
1
Write a reason for each step in the algebraic proof below:
1
Question 23
23.

Reason #2

1
Question 24
24.

Reason #3

1
Question 25
25.

Reason #4

Write a reason for each step in the algebraic proof below:
1
Question 26
26.

Reason #2

1
Question 27
27.

Reason #3

1
Question 28
28.

Reason #4

For the next 10 questions, name the property of equality the statement illustrates.
Question 29
29.

If XY = AB and AB = GH, then XY = GH.

Question 30
30.

If AB = 20, then AB + CD = 20 + CD

Question 31
31.

If m\angle{1} = m\angle{2}, then m\angle{2} = m\angle{1}.

Question 32
32.

If AB = CD, then AB + EF = CD + EF.

Question 33
33.

If 5(x + 8) = 2, then 5x + 40 = 2

Question 34
34.

If 8x = 24, then x = 3.

Question 35
35.

If x = 3c and r = 5x + 7, then r = 15c + 7.

Question 36
36.

If A + A + A + A = 49, then 4A = 49

Question 37
37.

DE = DE

Question 38
38.

If 5x + 10 = 3x - 40, then 5x = 3x - 50.

For the next 12 questions, use the property provided to complete the statement.
Question 39
39.

Reflexive Property. B = _____

Question 40
40.

Transitive Property. If CD = GH and GH = RS, then ______ = ______

Question 41
41.

Addition Property. If x = 3, then 14 + x = ________

Question 42
42.

Symmetric Property. If BC = RL, then ______ = ______

Question 43
43.

Substitution Property. If m\angle{A} = 45 and 3(m\angle{A}) = m\angle{B}, then _______ = m\angle{B}.

Question 44
44.

Multiplication Property. If m\angle{B} = 20o, then _______ (m\angle{B}) = 80o.

Question 45
45.

Division Property. If 3(m\angle{1}) = 180, then m\angle{1} = ________

Question 46
46.

Closure Property. If m\angle{2} + m\angle{2} + 3(m\angle{2}) = 180o, then _______ (m\angle{2}) = 180o

Question 47
47.

Multiplication Property. If RS = TU, then 6(RS) = _________

Question 48
48.

Transitive Property. If m\angle{A} = 67o and 67o = m\angle{D}, then m _______ = m _______

Question 49
49.

Symmetric Property. If m\angle{C} = m\angle{F}, then m _______ = m ________

Question 50
50.

Reflexive Property. ABC = _______

Question 4
4.

Reason #4

Question 8
8.

Reason #4

Question 17
17.

Reason #5

Question 21
21.

Reason #5

Question 22
22.

Reason #6