Transitive Property of Equality Variation 2

Angle Symmetry Example 2

Collinear Angles Property 9

Transitive Property of Equality Variation 1

Angle Symmetry Example

Distance Property 2

Distance Property 1

Collinear Then 180

Subtract Both Sides

Add Term to Both Sides 6

Subtract Both Sides 2

Add Term to Both Sides 7

Vertical Angles

Angle Addition Theorem

Collinear Angles B

Exterior Angle

Exterior Angle B

Collinear Angles Property 10

Collinear Angles Property 3

Collinear Angles Property 3 B

Collinear Angles Property 3 C

alternate interior angles then parallel

ParallelThenAIA

Parallelthenaiashort

Commutative Property Example 2

Commutative Property Variation 1

Substitution 2

Substitution 8

Angle Symmetry B

Substitution Example 10

Substitute First Term

Triangles Sum to 180

Equality Example

If Two Angles Equal Then Three Angles Equal

Angle Angle Side Triangle

Distance Property 3

Congruent Triangles to Distance

Two Angles Equal Then Isosceles

Equiangular Then Equilateral

Proof: Congruent Triangles to Distance

Let's prove the following theorem:

if △ABC ≅ △DEF, then distance BA = distance ED

Proof:

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

Given

1	△ABC ≅ △DEF

Proof Table

#	Claim	Reason
1	distance AB = distance DE	if △ABC ≅ △DEF, then distance AB = distance DE (Congruent Triangles Property 7)
2	distance BA = distance ED	if distance AB = distance DE, then distance BA = distance ED (Distance Property 3)

Previous Lesson Next Lesson

Comments

Please log in to add comments