6.3 Triangle Proofs

Symmetric prop.

Prove (I DARE YOU)

Division Prop.

Def. of bisect

Substitution prop.

Segment Addition Axiom

Reflexive prop.

Multiplication Prop.

Addition Prop.

Prove

Transitive prop.

Simplification

Def. of midpoint

Subtraction Prop.

Given

Angle Addition Axiom

Simplification

Multiplication Prop.

Prove (I DARE YOU)

Subtraction Prop.

Symmetric prop.

Transitive prop.

Def. of complementary

Def. of bisect

Given

Def. of linear pair

Vertical Angles Thm.

Reflexive prop.

Addition Prop.

Substitution prop.

Def. of supplementary

Prove

Division Prop.

Def. of supplementary

Def. of bisect

Distributive prop

Symmetric prop

Def. of complementary

Given

Substitution

Subtraction prop

Division prop

Vertical Angles Thm

Reflexive prop

Def. of linear pair

Prove

Transitive prop

Angle Addition

Simplification

Addition prop

Multiplication prop

Symmetric prop

Exterior Angle Thm

Multiplication prop

Substitution

CPCTC

Def. of linear pair

Angle Addition

Def. of complementary

Third Angles Thm

Prove

Subtraction prop

Distributive prop

Def. of midpoint

Def. of bisect

Addition prop

Transitive prop

Segment Addition

Def. of supplementary

Simplification

Vertical Angles Thm

Given

Reflexive prop

Triangle Sum Thm

Division prop

(P3) Congruent opposite angles

Def. of complementary

Third Angles Thm

Addition prop

Reflexive prop

Symmetric prop

(R2) Diagonals are congruent

Exterior Angle Thm

Given

Angle Addition

(P1) Congruent opposite sides

Simplification

CPCTC

Prove

Segment Addition

(P0) Parallel opposite Sides

Subtraction prop

Def. of supplementary

Substitution

Distributive prop

Def. of midpoint

(RH3) Diagonals bisect angles

Triangle Sum Thm

(RH1) All sides congruent

(RH2) Diagonals perpendicular

(P2) Supplementary same side angles

Def. of bisect

Division prop

(P4) Diagonals bisect each other

Def. of linear pair

Vertical Angles Thm

Multiplication prop

Transitive prop

(P4) Diagonals bisect each other

(R2) Diagonals are congruent

Simplification

(P1) Congruent opposite sides

Segment Addition

Triangle Sum Thm

Def. of supplementary

(P3) Congruent opposite angles

Subtraction prop

Symmetric prop

Addition prop

Vertical Angles Thm

Given

Def. of midpoint

Def. of bisect

CPCTC

(RH2) Diagonals perpendicular

(P2) Supplementary same side angles

Prove

Distributive prop

Exterior Angle Thm

Transitive prop

Angle Addition

Reflexive prop

(P0) Parallel opposite Sides

Multiplication prop

Third Angles Thm

(RH3) Diagonals bisect angles

Division prop

Def. of complementary

Def. of linear pair

Substitution

(RH1) All sides congruent