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Mathematics
9th -
11thgrade
Angle and Line Postulates and Properties
20 questions
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- 1. Multiple Choice
In a geometric system, which would best describe how postulates differ from theorems?
Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.
Postulates are statements that require proof, while theorems cannot be proven.
Both postulates and theorems do not require proof and are assumed to be true.
There is no difference between postulates and theorems.
- 2. Multiple Choice
Given that AM=MB, what definition allows us to say that the respective segments are congruent?
Definition of Congruent
Definition of Midpoint
Definition of Segment
- 3. Multiple Choice
If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?
Definition of Midpoint
Definition of Angle Bisector
Definition of Congruent
Definition of Segment Bisector
- 4. Multiple Choice
Identify the property you would use to solve this equation:
y – 7 = 28
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
- 5. Multiple Choice
Name the property of equality that the statement illustrates.
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C
Reflexive Property of Congruence
Transitive Property of Congruence
Definition of Congruence
Symmetric Property of Congruence
- 6. Multiple Choice
Name the property of equality that the statement illustrates.
If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°
Substitution Property of Equality
Transitive Property of Equality
Definition of Complementary Angles
Transitive Property of Congruence
- 7. Multiple Choice
Name the property of equality that the statement illustrates.
If ∠H≅∠H, then m∠H=m∠H.
Definition of Supplementary Angles
Angle Addition Postulate
Transitive Property
Definition of Congruent Angles
- 8. Multiple Choice
Name the property of equality that the statement illustrates.
∠G ≅ ∠G
Symmetric Property of Congruence
Definition of Congruence
Transitive Property
Reflexive Property
- 9. Multiple Choice
Name the property of equality that the statement illustrates.
If ∠S and ∠P are supplementary, then m∠S + m∠P = 180°
Definition of Supplementary Angles
Definition of Complementary Angles
Definition of Linear Pair
Definition of Vertical Angles
- 10. Multiple Choice
Complete the statement with the transitive property: If a=b and b=c then...
a=c
b=a
c=b
a=d
- 11. Multiple Choice
a=a is an example of...
symmetric property
transitive property
distributive property
reflexive property
- 12. Multiple ChoiceThe angle relationship shown is -complementary anglessupplementary anglesvertical anglesangle bisector
- 13. Multiple Choice
Which Postulate/Definition would you use to find HG?
Segment Addition Postulate
Angle Addition Postulate
Definition of Segment Bisector
Definition of Angle Bisector
- 14. Multiple Choice
Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?
Straight Angle Theorem
Congruent Compliments Theorem
Vertical Angles Theorem
Linear Pair Theorem
- 15. Multiple Choice
If AB=50, which definition would explain why AM=25?
Definition of Congruent
Definition of Midpoint
Definition of Segment
- 16. Multiple Choice
If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?
Definition of Segment Bisector
Definition of Angle Bisector
Angle Addition Postulate
Segment Addition Postulate
- 17. Multiple Choice
If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?
Definition of Midpoint
Definition of Angle Bisector
Definition of Congruent
Definition of Segment Bisector
- 18. Multiple Choice
Given that ∠ABD ≅∠CBE, what definition allows you to conclude that m∠ABD=m∠CBE?
Definition of Angle Bisector
Definition of Segment Bisector
Definition of Midpoint
Definition of Congruent
- 19. Multiple Choice
What property would I use to solve this equation?
7 + x = 14
Multiplication Property of Equality
Subtraction Property of Equality
Division Property of Equality
Substitution Property of Equality
- 20. Multiple ChoiceWhat is Subtraction property of equalitya. If a=b, then a+c=b+cb. If a=b, then a-c=b-cc. If a=b, then ac=bcd. If a=b, then a/c=b/c
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