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WorksheetsUnit 6 Test Review: Proofs
Total questions: 60
Worksheet time: 3hrs 52mins
If 4m + n = 7 and n = 3, then 4m + 3 = 7.
C. Multiplication Property of Equality
B. Subtraction Property of Equality
D. Division Property of Equality
A. Addition Property of Equality
F. Substitution Property
Write the letter of the property that justifies each statement using the blank. If 3x = y, then y = 3x.
H. Symmetric Property
A. Addition Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
B. Subtraction Property of Equality
Write the letter of the property that justifies each statement using the blank. If 4w - 1 = 11, then 4w = 12.
C. Multiplication Property of Equality
A. Addition Property of Equality
B. Subtraction Property of Equality
D. Division Property of Equality
E. Distributive Property
Write the letter of the property that justifies each statement using the blank. If a + b = c and c = d², then a + b = d².
I. Transitive Property of Equality
A. Addition Property of Equality
B. Subtraction Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
Write the letter of the property that justifies each statement using the blank. 6y = 6y.
B. Subtraction Property of Equality
A. Addition Property of Equality
G. Reflexive Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
Which property is used below?
If -8q = -56, then q = 7.
Addition Property of Equality
Subtraction Property of Equality
Division Property of Equality
Distributive Property
Multiplication Property of Equality
Which property is used below?
-3(2x - 5) = -6x + 15.
Multiplication Property of Equality
Subtraction Property of Equality
Division Property of Equality
Addition Property of Equality
Distributive Property
Which example below uses the Addition Property of Equality?
If a=b, then a+c=b+c
If a=b, then a-c=b-c
If a=b, then ac=bc
If a=b, then a/c=b/c
Identify the property of equality used below.
If 9=x, then x=9
Identify the property of equality used below.
39=39
Use the distributive property to simplify the expression below.
6(x + 3)
What is usually the 1st statement in the reasons column of a two-column proof?
Prove
Given
Reason
Statement
What is the reason for Step 2?
What is the reason for step 2?
What property is used below?
For any numbers a, b, and c, if a = b and b = c, then a = c.
Transitive Property of Equality
Symmetric Property of Equality
Reflexive Property of Equality
What is the reason for step 1?
What is the reason for step 6?
Subtraction Property of Equality
Addition Property of Equality
Division Property of Equality
Multiplication Property of Equality
What is the reason for step 5?
Transitive Property of Equality
Reflexive Property of Equality
Symmetric Property of Equality
What is the reason for step 3?
What is reason for step 4?
Name the property shown below.
∠B≅∠B
Reflexive Property of Congruence
Symmetric Property of Congruence
Transitive Property of Congruence
Reflexive Property of Equality
Symmetric Property of Equality
Name the property shown below.
If PQ = RS then RS = PQ
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Reflexive Property of Congruence
Symmetric Property of Congruence
Name the property shown below.
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C.
Reflexive Property of Congruence
Symmetric Property of Congruence
Transitive Property of Congruence
Transitive Property of Equality
Symmetric Property of Equality
Name the property shown below.
If MN = OP and OP = QR, then MN = QR.
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Symmetric Property of Congruence
Transitive Property of Congruence
Name the property shown below.
m∠1=m∠1
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Reflexive Property of Congruence
Symmetric Property of Congruence
Which property is being used above?
Addition Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
Division Property of Equality
Which property is being used above?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Which property is shown above?
Reflexive Property of Congruence
Transitive Property of Congruence
Symmetric Property of Equality
Symmetric Property of Congruence
Reflexive Property of Equality
Can you conclude the statement below from the diagram? Explain.
∠A ≅∠C
Yes; the markings show they are congruent.
No; there are no markings.
Yes; the angles look like they are about the same size.
No; the angles look like they are different sizes.
Can you conclude the statement below from the diagram? Explain.
∠B and∠ACD are supplementary.
No; there are no markings.
Yes, the two angles form a linear pair.
Yes; the angles look like they will add to equal 180 degrees.
No; the angles look like they will add to be less than 180 degrees.
Can you conclude the statement below from the diagram? Explain.
∠BCA and∠DCA are supplementary.
No; there are no markings.
Yes, the two angles form a linear pair.
Yes; the angles look like they will add to equal 180 degrees.
No; the angles look like they will add to be less than 180 degrees.
Can you conclude the statement below from the diagram? Explain.
segment AB is congruent to segment BC
No; there are no markings.
Yes, the markings show that they are congruent.
Yes; the two segments look like they are close to the same length.
No; one segment looks like it is longer than the other segment.
Can you make the conclusion below from the information in the diagram? Explain.
∠1 ≅ ∠3
Yes; the markings show they are congruent.
No; there are no markings showing that they are congruent.
Yes, they look like they would be the same size.
No, ∠3 looks like it is bigger than ∠1.
Can you make the conclusion below from the information in the diagram? Explain.
∠4 and ∠5 are supplementary.
Yes; the angles form a linear pair, so they are adjacent and supplementary.
No; there are no markings showing that they are supplementary.
Yes, they look like they would add to equal 180 degrees.
No, the sum of the angles would probably be more than 180 degrees.
Can you make the conclusion below from the information in the diagram? Explain.
∠2 is a right angle.
Yes; there is a symbol showing that the angle is a right angle
No; there is no mark showing that the angle is a right angle.
Yes, the angle looks like it would be equal to 90 degrees.
No, the angle looks like it would be smaller than 90 degrees.
Can you make the conclusion below from the information in the diagram?
∠2 and ∠3 are adjacent angles.
Yes
No
Can you make the conclusion below from the information in the diagram?
∠4 and ∠3 are acute angles.
Yes
No
If ∠1 and ∠2 are complementary, then what is the reason why m∠1 + m∠2 = 90?
Addition Property of Equality
Subtraction Property of Equality
Definition of right angle
Definition of complementary angles
What property is shown above?
Symmetric Property of Equality
Symmetric Property of Congruence
Reflexive Property of Equality
Transitive Property of Congruence
Transitive Property of Equality
What is the missing reason in the proof?
Transitive Property of Equality
Substitution Property
Addition Property of Equality
Combine like terms
Put the reasons in order for the proof
Given
Subtraction Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
What property should be given for reason number 2?
Addition Property of Equality
Division Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
What is step 4?
Substitution property
What is the justification?
Angle Addition Postulate
Angle Bisector Definition
Addition Property of Equality
Supplement Theorem
∠1 ≅ ∠3
Vertical angles are congruent.
Transitive Property of Congruence
1. Find X
28
5
55
40
4. Find X
1
30
53
10
A _____________ is a detailed explanation of why something is true.
proof
reason
statement
property
