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

1

Segments

Mmuae Afoforo a Wobɛpaw:

Symmetric prop.

Prove (I DARE YOU)

Division Prop.

Def. of bisect

Substitution prop.

Segment Addition Axiom

Reflexive prop.

Multiplication Prop.

Addition Prop.

Prove

Transitive prop.

Simplification

Def. of midpoint

Subtraction Prop.

Given

1

Angles

Mmuae Afoforo a Wobɛpaw:

Angle Addition Axiom

Simplification

Multiplication Prop.

Prove (I DARE YOU)

Subtraction Prop.

Symmetric prop.

Transitive prop.

Def. of complementary

Def. of bisect

Given

Def. of linear pair

Def. of \perp

\cong Complements Thm.

Right Angle \cong

Vertical Angles Thm.

Reflexive prop.

Addition Prop.

Substitution prop.

\cong Supplements Thm.

Def. of supplementary

Prove

Division Prop.

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Def. of supplementary

Def. of bisect

Same Side Int. \angles Converse

Distributive prop

Same Side Int. \angles Thm

Symmetric prop

Alt. Int. \angles Converse

\cong Supplements Thm

Def. of complementary

Alt. Ext. \angles Thm

Given

Corr. \angles Converse

Substitution

Subtraction prop

Same Side Ext. \angles Thm

Corr. \angles Axiom

Def. of \perp

\cong Complements Thm

Division prop

Vertical Angles Thm

Reflexive prop

Def. of linear pair

Prove

Alt. Int. \angles Thm

Alt Ext. \angles Converse

Right Angles \cong

Transitive prop

Same Side Ext. \angles Converse

Angle Addition

Simplification

Addition prop

Multiplication prop

1

Triangles

Mmuae Afoforo a Wobɛpaw:

Symmetric prop

Exterior Angle Thm

Isosceles \Delta Thm

Alt Ext. \angles Converse

Multiplication prop

Substitution

CPCTC

AAS \cong

Same Side Ext. \angles Converse

SAS \cong

Def. of linear pair

Angle Addition

Def. of complementary

Def. of \perp

Same Side Ext. \angles Thm

Third Angles Thm

\cong Complements Thm

\cong Supplements Thm

Prove

Subtraction prop

Distributive prop

Def. of midpoint

Def. of bisect

Addition prop

Transitive prop

ASA \cong

SSS \cong

Alt. Int. \angles Thm

HL \cong

Segment Addition

Corr. \angles Axiom

Def. of supplementary

Simplification

Vertical Angles Thm

Alt. Int. \angles Converse

Given

Reflexive prop

Triangle Sum Thm

Same Side Int. \angles Converse

Division prop

Equilateral \Delta Thm

Alt. Ext. \angles Thm

Same Side Int. \angles Thm

Corr. \angles Converse

Right Angles \cong

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

(P3) Congruent opposite angles

Def. of complementary

Third Angles Thm

Def. of \perp

Corr. \angles Axiom

Addition prop

Reflexive prop

\cong Complements Thm

Symmetric prop

HL \cong

Alt. Ext. \angles Thm

(R2) Diagonals are congruent

Exterior Angle Thm

Same Side Int. \angles Converse

Given

Angle Addition

(P1) Congruent opposite sides

Isosceles \Delta Thm

Alt Ext. \angles Converse

Corr. \angles Converse

Alt. Int. \angles Converse

Simplification

CPCTC

SSS \cong

Prove

Same Side Int. \angles Thm

\cong Supplements Thm

Segment Addition

(P0) Parallel opposite Sides

Subtraction prop

SAS \cong

Same Side Ext. \angles Converse

Def. of supplementary

Substitution

Alt. Int. \angles Thm

(R1) All angles congruent (90^o)

Distributive prop

ASA \cong

Equilateral \Delta Thm

Right Angles \cong

Def. of midpoint

(RH3) Diagonals bisect angles

Triangle Sum Thm

(RH1) All sides congruent

(RH2) Diagonals perpendicular

(P2) Supplementary same side angles

Def. of bisect

AAS \cong

Division prop

(P4) Diagonals bisect each other

Def. of linear pair

Same Side Ext. \angles Thm

Vertical Angles Thm

Multiplication prop

Transitive prop

1

All Statements

Mmuae Afoforo a Wobɛpaw:

(P4) Diagonals bisect each other

ASA \cong

(R2) Diagonals are congruent

Simplification

Equilateral \Delta Thm

(P1) Congruent opposite sides

AAS \cong

Segment Addition

Triangle Sum Thm

SAS \cong

Def. of supplementary

HL \cong

(P3) Congruent opposite angles

Subtraction prop

Symmetric prop

Isosceles \Delta Thm

Addition prop

Vertical Angles Thm

Def. of \perp

Given

(R1) All angles congruent (90^o)

Def. of midpoint

Same Side Ext. \angles Thm

Same Side Int. \angles Converse

Def. of bisect

CPCTC

(RH2) Diagonals perpendicular

Right Angles \cong

(P2) Supplementary same side angles

Corr. \angles Converse

Alt. Int. \angles Converse

\cong Complements Thm

Same Side Ext. \angles Converse

Prove

Distributive prop

Exterior Angle Thm

Alt. Ext. \angles Thm

Corr. \angles Axiom

Transitive prop

Alt Ext. \angles Converse

Angle Addition

Reflexive prop

(P0) Parallel opposite Sides

Alt. Int. \angles Thm

SSS \cong

\cong Supplements Thm

Multiplication prop

Third Angles Thm

(RH3) Diagonals bisect angles

Division prop

Same Side Int. \angles Thm

Def. of complementary

Def. of linear pair

Substitution

(RH1) All sides congruent

6.3 Triangle Proofs

6.3 Triangle Proofs