Proofs Template

Substitution prop.

Transitive prop.

Prove (I DARE YOU)

Subtraction Prop.

Def. of midpoint

Symmetric prop.

Def. of bisect

Multiplication Prop.

Addition Prop.

Given

Division Prop.

Prove

Segment Addition Axiom

Reflexive prop.

Simplification

Def. of linear pair

Symmetric prop.

Prove

Reflexive prop.

Given

Subtraction Prop.

Multiplication Prop.

Def. of bisect

Def. of complementary

Addition Prop.

Transitive prop.

Def. of supplementary

Vertical Angles Thm.

Simplification

Angle Addition Axiom

Division Prop.

Prove (I DARE YOU)

Substitution prop.

Transitive prop

Def. of linear pair

Prove

Addition prop

Subtraction prop

Vertical Angles Thm

Def. of supplementary

Division prop

Def. of complementary

Angle Addition

Symmetric prop

Reflexive prop

Def. of bisect

Multiplication prop

Simplification

Given

Substitution

Distributive prop

Symmetric prop

Simplification

Triangle Sum Thm

Vertical Angles Thm

Transitive prop

Subtraction prop

Reflexive prop

CPCTC

Def. of supplementary

Addition prop

Angle Addition

Def. of complementary

Segment Addition

Substitution

Exterior Angle Thm

Def. of linear pair

Def. of midpoint

Multiplication prop

Division prop

Given

Distributive prop

Def. of bisect

Prove

Third Angles Thm

Division prop

Substitution

Simplification

Def. of supplementary

Def. of midpoint

Given

Addition prop

Third Angles Thm

Distributive prop

(P1) Congruent opposite sides

Reflexive prop

Multiplication prop

Prove

Vertical Angles Thm

(P3) Congruent opposite angles

(RH1) All sides congruent

Angle Addition

Exterior Angle Thm

(P0) Parallel opposite Sides

(RH2) Diagonals perpendicular

Def. of bisect

CPCTC

(P2) Supplementary same side angles

(RH3) Diagonals bisect angles

Symmetric prop

Subtraction prop

Def. of linear pair

Def. of complementary

Transitive prop

(P4) Diagonals bisect each other

Triangle Sum Thm

(R2) Diagonals are congruent

Segment Addition

(R2) Diagonals are congruent

Segment Addition

Symmetric prop

Third Angles Thm

Addition prop

Multiplication prop

(P4) Diagonals bisect each other

Def. of bisect

Vertical Angles Thm

Def. of complementary

Distributive prop

(RH2) Diagonals perpendicular

Prove

Substitution

CPCTC

Transitive prop

Triangle Sum Thm

Division prop

Def. of linear pair

(P0) Parallel opposite Sides

Def. of supplementary

(P2) Supplementary same side angles

(RH3) Diagonals bisect angles

Reflexive prop

Given

Angle Addition

Def. of midpoint

(P3) Congruent opposite angles

Exterior Angle Thm

(RH1) All sides congruent

Simplification

Subtraction prop

(P1) Congruent opposite sides