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Basic Geometric Proofs

Authored by Leslie Curfew

Mathematics

10th Grade

CCSS covered

Used 11+ times

Basic Geometric Proofs
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37 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Given: AC = AB + AB
Prove: AB = BC
Reason 1: Given
What is Step 1?

AC = AB + AB
AB = BC
AB + BC = AC
AB + AB = AB + BC

Tags

CCSS.HSG.CO.C.10

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰ 
What is the justification for Step 1?

Given
Substitution
Angle addition postulate
Definition of congruent angles

Tags

CCSS.HSG.SRT.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 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
What is the justification for Step 2?

Given
Substitution
Angle addition postulate
Definition of congruent angles

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 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
What is the justification for Step 3?

Given
Substitution
Angle addition postulate
Definition of congruent angles

Tags

CCSS.7.G.B.5

5.

MULTIPLE CHOICE QUESTION

30 sec • 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

6.

MULTIPLE CHOICE QUESTION

30 sec • 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
What is the justification for Step 5?

Given
Substitution
Angle addition postulate
Definition of congruent angles

Tags

CCSS.HSG.SRT.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 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
What is the justification for Step 6?

Subtraction property of equality
Substitution
Addition property of equality
Definition of congruent angles

Tags

CCSS.HSG.SRT.B.5

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