Proofs Template

Multiplication Prop.

Def. of midpoint

Given

Division Prop.

Addition Prop.

Transitive prop.

Symmetric prop.

Substitution prop.

Prove

Segment Addition Axiom

Reflexive prop.

Subtraction Prop.

Simplification

Def. of bisect

Prove (I DARE YOU)

Prove

Prove (I DARE YOU)

Def. of bisect

Substitution prop.

Simplification

Def. of linear pair

Angle Addition Axiom

Def. of complementary

Addition Prop.

Transitive prop.

Vertical Angles Thm.

Def. of supplementary

Reflexive prop.

Division Prop.

Multiplication Prop.

Subtraction Prop.

Given

Symmetric prop.

Division prop

Def. of complementary

Multiplication prop

Transitive prop

Given

Prove

Def. of linear pair

Def. of bisect

Angle Addition

Subtraction prop

Reflexive prop

Simplification

Symmetric prop

Addition prop

Vertical Angles Thm

Def. of supplementary

Distributive prop

Substitution

Multiplication prop

Third Angles Thm

Substitution

Angle Addition

Distributive prop

Given

Def. of complementary

Symmetric prop

Segment Addition

Reflexive prop

Def. of midpoint

Division prop

Vertical Angles Thm

Prove

Exterior Angle Thm

Def. of linear pair

Simplification

Def. of supplementary

Triangle Sum Thm

Subtraction prop

Transitive prop

CPCTC

Addition prop

Def. of bisect

(P3) Congruent opposite angles

Subtraction prop

Prove

Addition prop

Third Angles Thm

Transitive prop

(RH2) Diagonals perpendicular

Multiplication prop

(RH1) All sides congruent

Symmetric prop

Def. of midpoint

(P1) Congruent opposite sides

Def. of linear pair

(RH3) Diagonals bisect angles

Angle Addition

Given

Def. of bisect

Def. of complementary

CPCTC

Exterior Angle Thm

Division prop

Reflexive prop

(P2) Supplementary same side angles

Triangle Sum Thm

Distributive prop

(P0) Parallel opposite Sides

Simplification

Def. of supplementary

(R2) Diagonals are congruent

(P4) Diagonals bisect each other

Vertical Angles Thm

Substitution

Segment Addition

Simplification

Triangle Sum Thm

Addition prop

(RH2) Diagonals perpendicular

CPCTC

(P4) Diagonals bisect each other

Def. of bisect

Def. of linear pair

Transitive prop

(P3) Congruent opposite angles

(RH1) All sides congruent

(R2) Diagonals are congruent

(P2) Supplementary same side angles

Multiplication prop

Subtraction prop

Substitution

Def. of supplementary

Def. of midpoint

Symmetric prop

Given

(P0) Parallel opposite Sides

Reflexive prop

Division prop

Def. of complementary

Prove

Distributive prop

(P1) Congruent opposite sides

Segment Addition

Third Angles Thm

Exterior Angle Thm

(RH3) Diagonals bisect angles

Angle Addition

Vertical Angles Thm