Proofs Template

Reflexive prop.

Symmetric prop.

Prove

Substitution prop.

Multiplication Prop.

Segment Addition Axiom

Prove (I DARE YOU)

Transitive prop.

Division Prop.

Simplification

Given

Def. of midpoint

Subtraction Prop.

Def. of bisect

Addition Prop.

Vertical Angles Thm.

Def. of bisect

Reflexive prop.

Transitive prop.

Simplification

Angle Addition Axiom

Def. of supplementary

Def. of complementary

Substitution prop.

Addition Prop.

Division Prop.

Prove

Multiplication Prop.

Subtraction Prop.

Def. of linear pair

Prove (I DARE YOU)

Symmetric prop.

Given

Division prop

Symmetric prop

Multiplication prop

Vertical Angles Thm

Transitive prop

Given

Subtraction prop

Def. of linear pair

Angle Addition

Prove

Def. of complementary

Def. of supplementary

Substitution

Distributive prop

Addition prop

Reflexive prop

Simplification

Def. of bisect

Division prop

Transitive prop

Given

Vertical Angles Thm

Exterior Angle Thm

Def. of bisect

Substitution

Def. of linear pair

Distributive prop

Subtraction prop

Multiplication prop

Reflexive prop

CPCTC

Segment Addition

Def. of complementary

Third Angles Thm

Symmetric prop

Def. of midpoint

Angle Addition

Prove

Def. of supplementary

Triangle Sum Thm

Simplification

Addition prop

Distributive prop

Simplification

Third Angles Thm

(P1) Congruent opposite sides

Division prop

CPCTC

Reflexive prop

Transitive prop

Vertical Angles Thm

Prove

(RH1) All sides congruent

(RH3) Diagonals bisect angles

Given

Multiplication prop

Angle Addition

Def. of linear pair

(RH2) Diagonals perpendicular

Substitution

Def. of complementary

Def. of supplementary

(P2) Supplementary same side angles

Segment Addition

(P4) Diagonals bisect each other

(P3) Congruent opposite angles

Symmetric prop

Def. of bisect

Triangle Sum Thm

(R2) Diagonals are congruent

Addition prop

Exterior Angle Thm

(P0) Parallel opposite Sides

Subtraction prop

Def. of midpoint

Third Angles Thm

Given

Addition prop

(R2) Diagonals are congruent

Transitive prop

CPCTC

Reflexive prop

(RH2) Diagonals perpendicular

(P3) Congruent opposite angles

Triangle Sum Thm

Segment Addition

Multiplication prop

(P0) Parallel opposite Sides

Def. of supplementary

Substitution

Angle Addition

Subtraction prop

(RH3) Diagonals bisect angles

Def. of bisect

Def. of linear pair

Simplification

(P1) Congruent opposite sides

(P2) Supplementary same side angles

Def. of complementary

(P4) Diagonals bisect each other

Distributive prop

Exterior Angle Thm

Symmetric prop

Division prop

Def. of midpoint

Prove

Vertical Angles Thm

(RH1) All sides congruent