WorksheetsAlgebraic Proofs Intro
Total questions: 10
Worksheet time: 15mins
Name
Class
Date
1.
Identify the property used here:
39=39
39=39
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
2.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
3.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
4.
What is step 4
a)
Substitution property (simplify)
b)
Addition property of equality
c)
Subtraction property of equality
5.
What is reason 2?
a)
Given
b)
Addition Property of Equality
c)
Subtraction Property of Equality
d)
Substitution Property of Equality
6.
Name the Property that this statement illustrates:
If x = y, then 3x = 3y.
a)
Multiplication Property Of Equality
b)
Addition Property Of Equality
c)
Symmetric Property Of Equality
7.
Name the property that this statement illustrates:
If g = h, then h = g.
a)
Symmetric Property Of Equality
b)
Subtraction Property Of Equality
8.
If O is between FX, then FO + OX = FX.
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Congruent Segments
d)
Vertical Angles Theorem
9.
Jill solved the equation below.
2(x −1) = x +12
2x − 2 = x+12
x−2= 12
x=14
She applied three properties of equality: I. Addition property of equality, II. Subtraction property of equality and III. Distributive property. In which order did Jill use the properties?
a)
I, II, III
b)
III, I, II
c)
III, II, I
d)
I, III, II
10.
.
a)
Addition Property of Equality
b)
Segment Addition Postulate
c)
Transitive Property of Equality
d)
Substitution Property of Equality
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