Proofs Template

Subtraction Prop.

Given

Prove (I DARE YOU)

Def. of bisect

Substitution prop.

Addition Prop.

Segment Addition Axiom

Division Prop.

Multiplication Prop.

Reflexive prop.

Symmetric prop.

Simplification

Def. of midpoint

Prove

Transitive prop.

Def. of supplementary

Def. of complementary

Symmetric prop.

Transitive prop.

Angle Addition Axiom

Subtraction Prop.

Multiplication Prop.

Prove

Simplification

Def. of bisect

Given

Vertical Angles Thm.

Prove (I DARE YOU)

Addition Prop.

Reflexive prop.

Division Prop.

Substitution prop.

Def. of linear pair

Multiplication prop

Vertical Angles Thm

Def. of linear pair

Division prop

Distributive prop

Given

Transitive prop

Symmetric prop

Angle Addition

Addition prop

Simplification

Reflexive prop

Subtraction prop

Prove

Def. of bisect

Def. of supplementary

Def. of complementary

Substitution

Simplification

Third Angles Thm

Angle Addition

Def. of bisect

Vertical Angles Thm

Addition prop

Symmetric prop

Segment Addition

Def. of complementary

Def. of supplementary

Subtraction prop

Distributive prop

Division prop

Def. of midpoint

Triangle Sum Thm

CPCTC

Prove

Substitution

Transitive prop

Reflexive prop

Multiplication prop

Given

Def. of linear pair

Exterior Angle Thm

Prove

Multiplication prop

Substitution

Symmetric prop

(RH1) All sides congruent

(RH3) Diagonals bisect angles

Def. of complementary

(P4) Diagonals bisect each other

Transitive prop

Simplification

Distributive prop

Def. of midpoint

Addition prop

Reflexive prop

Def. of linear pair

Exterior Angle Thm

Vertical Angles Thm

Triangle Sum Thm

(RH2) Diagonals perpendicular

(P0) Parallel opposite Sides

CPCTC

(P3) Congruent opposite angles

Def. of supplementary

(P2) Supplementary same side angles

(P1) Congruent opposite sides

Subtraction prop

Def. of bisect

Third Angles Thm

(R2) Diagonals are congruent

Division prop

Angle Addition

Segment Addition

Given

(P4) Diagonals bisect each other

Exterior Angle Thm

Division prop

Segment Addition

Addition prop

Triangle Sum Thm

Symmetric prop

Def. of midpoint

(RH1) All sides congruent

Reflexive prop

Def. of supplementary

Angle Addition

Def. of linear pair

Prove

(RH3) Diagonals bisect angles

(R2) Diagonals are congruent

(P2) Supplementary same side angles

Def. of complementary

(P0) Parallel opposite Sides

CPCTC

Third Angles Thm

Def. of bisect

Given

(P3) Congruent opposite angles

(RH2) Diagonals perpendicular

(P1) Congruent opposite sides

Subtraction prop

Substitution

Transitive prop

Multiplication prop

Distributive prop

Simplification

Vertical Angles Thm