Geometric Proofs Introduction

Solve: 3x + 2 = 23 - 4x
Step 1: 7x + 2 = 23 
What is the justification for Step 1's statement?

• Addition property of equality
• Simplifying
• Subtraction property of equality
• Distributive property

Tags

CCSS.HSA.REI.A.1

Solve: 3x + 2 = 23 - 4x
Step 1: 7x + 2 = 23 
Step 2: 7x = 21
Step 3: x = 3
What is the justification for Step 3's statement?

• Addition property of equality
• Multiplication property of equality
• Subtraction property of equality
• Division property of equality

Tags

CCSS.HSA.REI.A.1

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.HSA.REI.A.1

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.CO.C.9

CCSS.HSG.CO.D.12

What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

Tags

CCSS.HSG.CO.C.9

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

Tags

CCSS.HSA.REI.B.3

What is the justification?

• Definition of Supplementary Angles

• Vertical Angles Theorem

• Definition of an Angle Bisector

• Angle Addition Postulate

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

What is the justification?

• Transitive Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Substitution Property of Equality

Tags

CCSS.HSA.REI.A.1

Name the property described:

If PQ = RS then RS = PQ

• Reflexive

• Symmetric

• Transitive

• Addition

What is Statement #5?

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3