Midpoint Sum

Commutative Property Example 2

Commutative Property Variation 1

Substitution 2

Substitution 8

Multiplicative Identity 2

Distributive Property 4

Multiplicative Property of Equality Variation 1

Addition Theorem

Transitive Property of Equality Variation 2

Double

Midpoint Distance 2

Midpoint Distance 2b

Proof: Double

Let's prove the following theorem:

if a + a = b, then a ⋅ 2 = b

Proof:

View as a tree | View dependent proofs | Try proving it

Given

1	a + a = b

Proof Table

#	Claim	Reason
1	a + a = a ⋅ 2	a + a = a ⋅ 2 (addition_theorem)
2	a ⋅ 2 = b	if a + a = a ⋅ 2 and a + a = b, then a ⋅ 2 = b (Transitive Property of Equality Variation 2)

Previous Lesson Next Lesson

Comments

Please log in to add comments