Geometric Proofs
10th Grade
•18 Qs
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Geometric Proofs
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Anthony Clark
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18 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: AC = AB + AB
Prove: AB = BC
Reason 1: Given
Reason 2: Segment addition postulate
Reason 3: Transitive property of equality
Reason 4: Subtraction property of equality
What is Step 4?
AC = AB + AB
AB = BC
AB + BC = AC
AB + AB = AB + BC
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 is a complement of ∠2 and ∠2 ≅ ∠3
Prove: ∠1 is a complement of ∠3
Reason 1: Given
What is Step 1?
∠1 is a complement of ∠2
m∠1 + m∠2 = 90⁰
m∠2 = m∠3
m∠1 + m∠3 = 90⁰
Tags
CCSS.7.G.B.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 is a complement of ∠2 and ∠2 ≅ ∠3
Prove: ∠1 is a complement of ∠3
Reason 1: Given
Reason 2: Given
What is Step 2?
∠2 ≅ ∠3
m∠1 + m∠2 = 90⁰
m∠2 = m∠3
m∠1 + m∠3 = 90⁰
Tags
CCSS.7.G.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 is a complement of ∠2 and ∠2 ≅ ∠3
Prove: ∠1 is a complement of ∠3
Reason 1: Given
Reason 2: Given
Reason 3: Definition of complementary angles
What is Step 3?
∠1 is a complement of ∠3
m∠1 + m∠2 = 90⁰
m∠2 = m∠3
m∠1 + m∠3 = 90⁰
Tags
CCSS.7.G.B.5
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 is a complement of ∠2 and ∠2 ≅ ∠3
Prove: ∠1 is a complement of ∠3
Reason 1: Given
Reason 2: Given
Reason 3: Definition of complementary angles
Reason 4: Definition of congruent angles
What is Step 4?
∠2 ≅ ∠3
m∠1 + m∠2 = 90⁰
m∠2 = m∠3
m∠1 + m∠3 = 90⁰
Tags
CCSS.7.G.B.5
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 is a complement of ∠2 and ∠2 ≅ ∠3
Prove: ∠1 is a complement of ∠3
Reason 1: Given
Reason 2: Given
Reason 3: Definition of complementary angles
Reason 4: Definition of congruent angles
Reason 5: Substitution property of equality
What is Step 5?
∠2 ≅ ∠3
m∠1 + m∠2 = 90⁰
m∠2 = m∠3
m∠1 + m∠3 = 90⁰
Tags
CCSS.7.G.B.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Given: ∠1 is a complement of ∠2 and ∠2 ≅ ∠3
Prove: ∠1 is a complement of ∠3
Reason 1: Given
Reason 2: Given
Reason 3: Definition of complementary angles
Reason 4: Definition of congruent angles
Reason 5: Substitution property of equality
Reason 6: Definition of complement
What is Step 6?
∠1 is a complement of ∠3
m∠1 + m∠2 = 90⁰
m∠2 = m∠3
m∠1 + m∠3 = 90⁰
Tags
CCSS.7.G.B.5
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