Transitive Property of Equality Variation 2

Right Angle Reverse

Collinear Then 180

Converse of the Supplementary Angles Theorem

Commutative Property Example 2

Commutative Property Variation 1

Substitution 2

Substitution 8

Subtract Both Sides

Subtraction Example 2

Add Number to Both Sides

Add Number to Both Sides 2

Angle Symmetry Example 2

Transitive Property of Equality Variation 1

Distance Property 1

Distance Property 2

Distance Property 3

Congruent Triangles to Distance 3

Collinear Angles Property 9

Transitive Property Application 2

Angles of an Isosceles Triangle

Angle Symmetry Example

Angle Symmetry 2

Isosceles Triangle B

Collinear Angles Property 10

Collinear Angles Property 3

Collinear Angles Property 3 B

Collinear Angles Property 3 C

Propagated Transitive Property 3

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

alternate interior angles then parallel

ParallelThenAIA

Parallelthenaiashort

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

Angle Angle Side Triangle 2

Congruent Triangle Transitive Property

Hypotenuse And Leg Then Right Triangle Congruent

Bisector Angle

Proof: Congruent Triangle Transitive Property

Let's prove the following theorem:

if △ABC ≅ △GEF and △DEF ≅ △GEF, then △ABC ≅ △DEF

Proof:

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

Given

1	△ABC ≅ △GEF
2	△DEF ≅ △GEF

Proof Table

#	Claim	Reason
1	△GEF ≅ △DEF	if △DEF ≅ △GEF, then △GEF ≅ △DEF (Congruent Triangles Property 3)
2	△ABC ≅ △DEF	if △ABC ≅ △GEF and △GEF ≅ △DEF, then △ABC ≅ △DEF (Transitive Property of Congruent Triangles)

Previous Lesson Next Lesson

Comments

Please log in to add comments