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Angle Bisector Proportionality

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Angle Bisector Proportionality
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9 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The figure is an example of a(n) ...

angle bisector

perpendicular bisector

median

midsegment

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.4.MD.C.7

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.7.G.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Tags

CCSS.4.MD.C.7

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