{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

1

Segments

Mmuae Afoforo a Wobɛpaw:

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.

1

Angles

Mmuae Afoforo a Wobɛpaw:

Reflexive prop.

Def. of \perp

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.

\cong Supplements Thm.

Def. of supplementary

Symmetric prop.

Right Angle \cong

\cong Complements Thm.

Transitive prop.

Prove

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Prove

\cong Supplements Thm

Symmetric prop

Alt. Int. \angles Converse

Alt. Int. \angles Thm

Def. of supplementary

Def. of complementary

Subtraction prop

Given

Angle Addition

Same Side Ext. \angles Converse

Same Side Int. \angles Converse

Def. of linear pair

Alt Ext. \angles Converse

Corr. \angles Axiom

Substitution

Vertical Angles Thm

Def. of bisect

Division prop

\cong Complements Thm

Transitive prop

Multiplication prop

Alt. Ext. \angles Thm

Corr. \angles Converse

Same Side Int. \angles Thm

Same Side Ext. \angles Thm

Addition prop

Simplification

Right Angles \cong

Distributive prop

Reflexive prop

Def. of \perp

1

Triangles

Mmuae Afoforo a Wobɛpaw:

Symmetric prop

Equilateral \Delta Thm

SAS \cong

Exterior Angle Thm

Def. of bisect

Prove

ASA \cong

Def. of midpoint

Def. of supplementary

Alt. Ext. \angles Thm

Same Side Ext. \angles Converse

SSS \cong

Isosceles \Delta Thm

CPCTC

Reflexive prop

Same Side Int. \angles Thm

Multiplication prop

Def. of complementary

Given

Subtraction prop

Division prop

HL \cong

\cong Supplements Thm

Vertical Angles Thm

AAS \cong

Alt Ext. \angles Converse

Right Angles \cong

Corr. \angles Converse

Same Side Ext. \angles Thm

Same Side Int. \angles Converse

Simplification

Third Angles Thm

Triangle Sum Thm

Angle Addition

Def. of \perp

Def. of linear pair

Corr. \angles Axiom

Substitution

Segment Addition

\cong Complements Thm

Distributive prop

Alt. Int. \angles Converse

Transitive prop

Addition prop

Alt. Int. \angles Thm

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

Distributive prop

Subtraction prop

Alt. Ext. \angles Thm

(RH1) All sides congruent

Alt. Int. \angles Converse

(P1) Congruent opposite sides

Alt. Int. \angles Thm

Corr. \angles Converse

(P3) Congruent opposite angles

ASA \cong

Def. of midpoint

(RH3) Diagonals bisect angles

Same Side Int. \angles Thm

Angle Addition

(R2) Diagonals are congruent

HL \cong

\cong Supplements Thm

Given

Def. of complementary

\cong Complements Thm

Transitive prop

Reflexive prop

Def. of linear pair

Same Side Int. \angles Converse

Addition prop

Simplification

Def. of bisect

Def. of supplementary

Segment Addition

(R1) All angles congruent (90^o)

Alt Ext. \angles Converse

Isosceles \Delta Thm

CPCTC

Multiplication prop

Triangle Sum Thm

SSS \cong

(RH2) Diagonals perpendicular

Right Angles \cong

(P4) Diagonals bisect each other

Same Side Ext. \angles Thm

Vertical Angles Thm

(P0) Parallel opposite Sides

SAS \cong

Substitution

Exterior Angle Thm

Third Angles Thm

Prove

(P2) Supplementary same side angles

AAS \cong

Same Side Ext. \angles Converse

Division prop

Symmetric prop

Corr. \angles Axiom

Def. of \perp

Equilateral \Delta Thm

1

All Statements

Mmuae Afoforo a Wobɛpaw:

Alt. Int. \angles Converse

\cong Supplements Thm

Def. of \perp

(P4) Diagonals bisect each other

Same Side Ext. \angles Converse

Given

Equilateral \Delta Thm

(P1) Congruent opposite sides

Reflexive prop

(RH1) All sides congruent

(P0) Parallel opposite Sides

Division prop

Transitive prop

Angle Addition

Vertical Angles Thm

Same Side Int. \angles Thm

Exterior Angle Thm

Segment Addition

Third Angles Thm

Triangle Sum Thm

Same Side Ext. \angles Thm

Isosceles \Delta Thm

Corr. \angles Converse

Addition prop

Distributive prop

Def. of supplementary

Corr. \angles Axiom

SAS \cong

HL \cong

Simplification

Multiplication prop

SSS \cong

Def. of bisect

(RH3) Diagonals bisect angles

Def. of complementary

Right Angles \cong

(P2) Supplementary same side angles

Alt. Int. \angles Thm

Def. of linear pair

Same Side Int. \angles Converse

(RH2) Diagonals perpendicular

Alt. Ext. \angles Thm

Alt Ext. \angles Converse

(R2) Diagonals are congruent

AAS \cong

ASA \cong

Prove

Substitution

CPCTC

Subtraction prop

\cong Complements Thm

(R1) All angles congruent (90^o)

Def. of midpoint

Symmetric prop

(P3) Congruent opposite angles

4.7 Angle Relationship Proofs

4.7 Angle Relationship Proofs