4.7 Angle Relationship Proofs

Division Prop.

Simplification

Symmetric prop.

Transitive prop.

Multiplication Prop.

Subtraction Prop.

Prove (I DARE YOU)

Def. of bisect

Substitution prop.

Given

Segment Addition Axiom

Prove

Reflexive prop.

Def. of midpoint

Addition Prop.

Reflexive prop.

Simplification

Angle Addition Axiom

Def. of bisect

Prove (I DARE YOU)

Substitution prop.

Vertical Angles Thm.

Subtraction Prop.

Multiplication Prop.

Def. of linear pair

Def. of complementary

Division Prop.

Given

Addition Prop.

Def. of supplementary

Symmetric prop.

Transitive prop.

Prove

Prove

Symmetric prop

Def. of supplementary

Def. of complementary

Subtraction prop

Given

Angle Addition

Def. of linear pair

Substitution

Vertical Angles Thm

Def. of bisect

Division prop

Transitive prop

Multiplication prop

Addition prop

Simplification

Distributive prop

Reflexive prop

Symmetric prop

Exterior Angle Thm

Def. of bisect

Prove

Def. of midpoint

Def. of supplementary

CPCTC

Reflexive prop

Multiplication prop

Def. of complementary

Given

Subtraction prop

Division prop

Vertical Angles Thm

Simplification

Third Angles Thm

Triangle Sum Thm

Angle Addition

Def. of linear pair

Substitution

Segment Addition

Distributive prop

Transitive prop

Addition prop

Distributive prop

Subtraction prop

(RH1) All sides congruent

(P1) Congruent opposite sides

(P3) Congruent opposite angles

Def. of midpoint

(RH3) Diagonals bisect angles

Angle Addition

(R2) Diagonals are congruent

Given

Def. of complementary

Transitive prop

Reflexive prop

Def. of linear pair

Addition prop

Simplification

Def. of bisect

Def. of supplementary

Segment Addition

CPCTC

Multiplication prop

Triangle Sum Thm

(RH2) Diagonals perpendicular

(P4) Diagonals bisect each other

Vertical Angles Thm

(P0) Parallel opposite Sides

Substitution

Exterior Angle Thm

Third Angles Thm

Prove

(P2) Supplementary same side angles

Division prop

Symmetric prop

(P4) Diagonals bisect each other

Given

(P1) Congruent opposite sides

Reflexive prop

(RH1) All sides congruent

(P0) Parallel opposite Sides

Division prop

Transitive prop

Angle Addition

Vertical Angles Thm

Exterior Angle Thm

Segment Addition

Third Angles Thm

Triangle Sum Thm

Addition prop

Distributive prop

Def. of supplementary

Simplification

Multiplication prop

Def. of bisect

(RH3) Diagonals bisect angles

Def. of complementary

(P2) Supplementary same side angles

Def. of linear pair

(RH2) Diagonals perpendicular

(R2) Diagonals are congruent

Prove

Substitution

CPCTC

Subtraction prop

Def. of midpoint

Symmetric prop

(P3) Congruent opposite angles