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

1

Segments

Mmuae Afoforo a Wobɛpaw:

Addition Prop.

Def. of bisect

Subtraction Prop.

Reflexive prop.

Given

Symmetric prop.

Division Prop.

Multiplication Prop.

Simplification

Segment Addition Axiom

Prove

Prove (I DARE YOU)

Def. of midpoint

Substitution prop.

Transitive prop.

1

Angles

Mmuae Afoforo a Wobɛpaw:

Transitive prop.

Def. of bisect

Division Prop.

Def. of linear pair

Given

Multiplication Prop.

Def. of complementary

Subtraction Prop.

Def. of \perp

Vertical Angles Thm.

\cong Supplements Thm.

Simplification

Right Angle \cong

Prove (I DARE YOU)

Substitution prop.

Def. of supplementary

Addition Prop.

\cong Complements Thm.

Symmetric prop.

Prove

Reflexive prop.

Angle Addition Axiom

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Right Angles \cong

Corr. \angles Converse

Reflexive prop

Alt. Ext. \angles Thm

Transitive prop

Addition prop

Same Side Int. \angles Thm

Corr. \angles Axiom

Angle Addition

Distributive prop

Alt. Int. \angles Converse

Simplification

Vertical Angles Thm

Def. of complementary

Def. of \perp

Same Side Ext. \angles Thm

Def. of linear pair

Division prop

Substitution

Def. of bisect

Same Side Ext. \angles Converse

\cong Supplements Thm

Def. of supplementary

Subtraction prop

\cong Complements Thm

Alt. Int. \angles Thm

Alt Ext. \angles Converse

Multiplication prop

Symmetric prop

Prove

Same Side Int. \angles Converse

Given

1

Triangles

Mmuae Afoforo a Wobɛpaw:

Alt Ext. \angles Converse

ASA \cong

Def. of supplementary

Isosceles \Delta Thm

\cong Complements Thm

\cong Supplements Thm

Given

Equilateral \Delta Thm

Angle Addition

Symmetric prop

Corr. \angles Axiom

Vertical Angles Thm

Same Side Int. \angles Thm

Prove

Exterior Angle Thm

Simplification

Subtraction prop

Corr. \angles Converse

Def. of midpoint

Multiplication prop

Alt. Int. \angles Converse

SAS \cong

Triangle Sum Thm

Same Side Ext. \angles Converse

CPCTC

Distributive prop

Segment Addition

Substitution

Def. of complementary

Reflexive prop

Same Side Int. \angles Converse

Def. of bisect

Transitive prop

Alt. Ext. \angles Thm

Division prop

Def. of \perp

Def. of linear pair

Right Angles \cong

AAS \cong

HL \cong

Third Angles Thm

Addition prop

Same Side Ext. \angles Thm

Alt. Int. \angles Thm

SSS \cong

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

Def. of bisect

(R2) Diagonals are congruent

SAS \cong

(P3) Congruent opposite angles

(R1) All angles congruent (90^o)

Vertical Angles Thm

SSS \cong

Isosceles \Delta Thm

(RH3) Diagonals bisect angles

Exterior Angle Thm

AAS \cong

Reflexive prop

Equilateral \Delta Thm

Alt Ext. \angles Converse

Alt. Ext. \angles Thm

Segment Addition

Division prop

Corr. \angles Axiom

Symmetric prop

ASA \cong

(P1) Congruent opposite sides

(P4) Diagonals bisect each other

Def. of linear pair

Same Side Int. \angles Thm

HL \cong

Def. of complementary

Def. of supplementary

Alt. Int. \angles Converse

Substitution

Same Side Int. \angles Converse

Def. of midpoint

Same Side Ext. \angles Converse

Right Angles \cong

Corr. \angles Converse

Triangle Sum Thm

Subtraction prop

\cong Supplements Thm

Third Angles Thm

(P2) Supplementary same side angles

Distributive prop

\cong Complements Thm

CPCTC

Simplification

(P0) Parallel opposite Sides

Transitive prop

Alt. Int. \angles Thm

(RH1) All sides congruent

Prove

Addition prop

Angle Addition

Def. of \perp

Same Side Ext. \angles Thm

Given

(RH2) Diagonals perpendicular

Multiplication prop

1

All Statements

Mmuae Afoforo a Wobɛpaw:

Def. of \perp

Symmetric prop

(R2) Diagonals are congruent

Same Side Ext. \angles Thm

Triangle Sum Thm

Def. of complementary

Addition prop

(P1) Congruent opposite sides

Vertical Angles Thm

(P3) Congruent opposite angles

Equilateral \Delta Thm

Multiplication prop

Alt Ext. \angles Converse

Substitution

Isosceles \Delta Thm

Def. of linear pair

Alt. Int. \angles Converse

Segment Addition

Given

Alt. Int. \angles Thm

(P4) Diagonals bisect each other

Division prop

Angle Addition

SSS \cong

Same Side Int. \angles Thm

Same Side Ext. \angles Converse

Third Angles Thm

Alt. Ext. \angles Thm

Exterior Angle Thm

ASA \cong

Simplification

(RH2) Diagonals perpendicular

(P0) Parallel opposite Sides

(RH3) Diagonals bisect angles

AAS \cong

(R1) All angles congruent (90^o)

Reflexive prop

Subtraction prop

Same Side Int. \angles Converse

HL \cong

Prove

(P2) Supplementary same side angles

Distributive prop

Corr. \angles Axiom

CPCTC

\cong Complements Thm

Def. of supplementary

Right Angles \cong

Corr. \angles Converse

(RH1) All sides congruent

Transitive prop

Def. of midpoint

Def. of bisect

SAS \cong

\cong Supplements Thm

Proofs Template

Proofs Template