Transitive Property of Equality Variation 2

Sides of an Equilateral Triangle

Sides of an Equilateral Triangle 2

Distance Property 1

Angle Symmetry B

Collinear Then 180

Converse of the Supplementary Angles Theorem

Commutative Property Example 2

Commutative Property Variation 1

Substitution 2

Substitution 8

Substitution Example 10

Substitute 2

Multiplicative Identity 2

Distributive Property 4

Multiplicative Property of Equality Variation 1

Addition Theorem

Transitive Property of Equality Variation 1

Divide Both Sides

Multiplicative Property of Equality Variation 2

Transitive Property of Equality Variation 3

Division is Commutative

Associative Property

Divide Each Side

Divide 180 by 2 2

One Eighty 4

If Point Equidistant From Endpoints Perpendicular Bisector 2

Right Angle in Equilateral

Proof: Angle Symmetry B

Let's prove the following theorem:

if m∠ABC = m∠XYZ, then m∠CBA = m∠XYZ

Proof:

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

Given

1	m∠ABC = m∠XYZ

Proof Table

#	Claim	Reason
1	m∠ABC = m∠CBA	m∠ABC = m∠CBA (Angle Symmetry Property)
2	m∠CBA = m∠XYZ	if m∠ABC = m∠CBA and m∠ABC = m∠XYZ, then m∠CBA = m∠XYZ (Transitive Property of Equality Variation 2)

Previous Lesson Next Lesson

Comments

Please log in to add comments