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

1

Segments

Mmuae Afoforo a Wobɛpaw:

Multiplication Prop.

Def. of midpoint

Given

Division Prop.

Addition Prop.

Transitive prop.

Symmetric prop.

Substitution prop.

Prove

Segment Addition Axiom

Reflexive prop.

Subtraction Prop.

Simplification

Def. of bisect

Prove (I DARE YOU)

1

Angles

Mmuae Afoforo a Wobɛpaw:

Prove

Prove (I DARE YOU)

Def. of bisect

Substitution prop.

Simplification

Def. of linear pair

Angle Addition Axiom

Def. of complementary

Addition Prop.

Transitive prop.

Vertical Angles Thm.

Def. of supplementary

Reflexive prop.

\cong Complements Thm.

Division Prop.

Multiplication Prop.

Right Angle \cong

\cong Supplements Thm.

Subtraction Prop.

Def. of \perp

Given

Symmetric prop.

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Division prop

Def. of complementary

Same Side Int. \angles Thm

Multiplication prop

Transitive prop

Given

Prove

Def. of linear pair

Def. of bisect

Def. of \perp

\cong Complements Thm

Angle Addition

Subtraction prop

Reflexive prop

Same Side Ext. \angles Thm

Simplification

Same Side Int. \angles Converse

Alt. Int. \angles Thm

Symmetric prop

Alt. Int. \angles Converse

Corr. \angles Converse

Corr. \angles Axiom

Addition prop

Vertical Angles Thm

Def. of supplementary

Same Side Ext. \angles Converse

\cong Supplements Thm

Right Angles \cong

Distributive prop

Alt Ext. \angles Converse

Alt. Ext. \angles Thm

Substitution

1

Triangles

Mmuae Afoforo a Wobɛpaw:

Multiplication prop

HL \cong

\cong Complements Thm

Third Angles Thm

Substitution

Alt. Int. \angles Converse

Angle Addition

Distributive prop

Same Side Int. \angles Converse

Given

Def. of complementary

Symmetric prop

SAS \cong

Corr. \angles Axiom

Same Side Ext. \angles Converse

Corr. \angles Converse

Segment Addition

Same Side Int. \angles Thm

Alt. Ext. \angles Thm

Equilateral \Delta Thm

\cong Supplements Thm

ASA \cong

Reflexive prop

SSS \cong

Isosceles \Delta Thm

Def. of midpoint

Alt. Int. \angles Thm

AAS \cong

Division prop

Alt Ext. \angles Converse

Vertical Angles Thm

Def. of \perp

Right Angles \cong

Prove

Exterior Angle Thm

Same Side Ext. \angles Thm

Def. of linear pair

Simplification

Def. of supplementary

Triangle Sum Thm

Subtraction prop

Transitive prop

CPCTC

Addition prop

Def. of bisect

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

(P3) Congruent opposite angles

Equilateral \Delta Thm

Subtraction prop

Same Side Ext. \angles Thm

Def. of \perp

Prove

Addition prop

Third Angles Thm

Transitive prop

(RH2) Diagonals perpendicular

Alt. Int. \angles Converse

Alt. Ext. \angles Thm

Isosceles \Delta Thm

Multiplication prop

(RH1) All sides congruent

Symmetric prop

Def. of midpoint

(P1) Congruent opposite sides

Def. of linear pair

Same Side Int. \angles Thm

(RH3) Diagonals bisect angles

AAS \cong

Angle Addition

Given

Def. of bisect

SAS \cong

Def. of complementary

HL \cong

Alt Ext. \angles Converse

\cong Complements Thm

CPCTC

Corr. \angles Converse

Exterior Angle Thm

Division prop

Same Side Int. \angles Converse

Reflexive prop

(P2) Supplementary same side angles

Triangle Sum Thm

Distributive prop

Same Side Ext. \angles Converse

(P0) Parallel opposite Sides

Simplification

SSS \cong

Right Angles \cong

Def. of supplementary

(R2) Diagonals are congruent

(P4) Diagonals bisect each other

\cong Supplements Thm

Alt. Int. \angles Thm

ASA \cong

Corr. \angles Axiom

Vertical Angles Thm

Substitution

(R1) All angles congruent (90^o)

Segment Addition

1

All Statements

Mmuae Afoforo a Wobɛpaw:

Simplification

Alt. Ext. \angles Thm

Triangle Sum Thm

SAS \cong

\cong Complements Thm

Addition prop

(RH2) Diagonals perpendicular

CPCTC

Equilateral \Delta Thm

Same Side Int. \angles Thm

(P4) Diagonals bisect each other

Def. of bisect

Def. of linear pair

Alt Ext. \angles Converse

Transitive prop

(P3) Congruent opposite angles

\cong Supplements Thm

Same Side Ext. \angles Thm

Alt. Int. \angles Converse

(RH1) All sides congruent

Def. of \perp

Corr. \angles Axiom

(R2) Diagonals are congruent

HL \cong

(P2) Supplementary same side angles

ASA \cong

Right Angles \cong

Multiplication prop

Subtraction prop

Substitution

Def. of supplementary

Def. of midpoint

Symmetric prop

AAS \cong

Given

(P0) Parallel opposite Sides

Reflexive prop

Division prop

Def. of complementary

Prove

Distributive prop

Same Side Int. \angles Converse

Corr. \angles Converse

(R1) All angles congruent (90^o)

(P1) Congruent opposite sides

SSS \cong

Segment Addition

Third Angles Thm

Alt. Int. \angles Thm

Same Side Ext. \angles Converse

Exterior Angle Thm

Isosceles \Delta Thm

(RH3) Diagonals bisect angles

Angle Addition

Vertical Angles Thm

Proofs Template

Proofs Template