Geometric Proofs

Geometric Proofs

10th Grade

18 Qs

quiz-placeholder

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Geometric Proofs

Geometric Proofs

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
7.G.B.5, HSG.SRT.B.5, 4.MD.C.7

+2

Standards-aligned

Created by

Anthony Clark

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

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

Media Image

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

Media Image

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

Media Image

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

Media Image

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

Media Image

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

Media Image

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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