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WorksheetsAngle Bisector Proportionality
Total questions: 9
Worksheet time: 9mins
The figure is an example of a(n) ...
angle bisector
perpendicular bisector
median
midsegment
What is the missing statement in the proof?
2m∠ABD = m∠ABD + m∠ABD
m∠ABD = m∠DBC
m∠ABC = m∠ABC
m∠ABD +m∠ABD = m∠ABD + m∠DBC
Which of the following below would fill in the Reasons in the proper order?
Given; Definition of bisect; Transitive; Given, Definition of bisect
Given; Transitive; Given; Definition of bisect; Definition of bisect
Given; Definition of bisect; Given; Definition of bisect; Transitive
Angle JHG measures 161.
m∠GHK=80.5,
m∠KHJ=161
m∠GHK=161,
m∠KHJ=80.5
m∠GHK=80.5,
m∠KHJ=80.5
m∠GHK=161,
m∠KHJ=161
Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰
Step 2: m∠1 + m∠2 = m∠LAN
Step 3: m∠1 + m∠2 = 30⁰
Step 4: m∠1 = 15⁰
Step 5: 15⁰ + m∠2 = 30⁰
Step 6: m∠2 = 15⁰
Step 7: m∠1 = m∠2
Step 8: ∠1 ≅ ∠2
What is the justification for Step 8?
Symmetric property of congruence
Transitive property of equality
Addition property of equality
Definition of congruent angles
Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰
Step 2: m∠1 + m∠2 = m∠LAN
Step 3: m∠1 + m∠2 = 30⁰
Step 4: m∠1 = 15⁰
What is the justification for Step 4?
Given
Substitution
Angle addition postulate
Definition of congruent angles
What is the missing statement in the proof?
2m∠ABD=m∠ABD+m∠ABD
m∠ABD=m∠DBC
m∠ABC=m∠ABC
m∠ABD+m∠ABD=m∠ABD+m∠DBC
Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰
Step 2: m∠1 + m∠2 = m∠LAN
Step 3: m∠1 + m∠2 = 30⁰
Step 4: m∠1 = 15⁰
Step 5: 15⁰ + m∠2 = 30⁰
Step 6: m∠2 = 15⁰
Step 7: m∠1 = m∠2
What is the justification for Step 7?
Subtraction property of equality
Transitive property of equality
Addition property of equality
Definition of congruent angles
What is the justification?
Definition of an Angle Bisector
Complementary Angles Theorem
Definition of a Right Angle
Angle Addition Postulate
