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

1

Segments

Mmuae Afoforo a Wobɛpaw:

Reflexive prop.

Symmetric prop.

Prove

Substitution prop.

Multiplication Prop.

Segment Addition Axiom

Prove (I DARE YOU)

Transitive prop.

Division Prop.

Simplification

Given

Def. of midpoint

Subtraction Prop.

Def. of bisect

Addition Prop.

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Angles

Mmuae Afoforo a Wobɛpaw:

Vertical Angles Thm.

Def. of bisect

Reflexive prop.

Transitive prop.

Def. of \perp

Simplification

Angle Addition Axiom

Def. of supplementary

Def. of complementary

Substitution prop.

\cong Complements Thm.

Addition Prop.

Division Prop.

Prove

Multiplication Prop.

Subtraction Prop.

Def. of linear pair

\cong Supplements Thm.

Prove (I DARE YOU)

Symmetric prop.

Right Angle \cong

Given

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Division prop

Symmetric prop

Same Side Int. \angles Thm

Multiplication prop

Vertical Angles Thm

Transitive prop

\cong Complements Thm

Alt. Ext. \angles Thm

Given

Subtraction prop

Def. of linear pair

Angle Addition

Prove

Same Side Ext. \angles Thm

Same Side Ext. \angles Converse

Right Angles \cong

Corr. \angles Axiom

Same Side Int. \angles Converse

Def. of complementary

Alt. Int. \angles Converse

Def. of supplementary

Substitution

Alt. Int. \angles Thm

Def. of \perp

Distributive prop

Addition prop

Reflexive prop

\cong Supplements Thm

Alt Ext. \angles Converse

Simplification

Def. of bisect

Corr. \angles Converse

1

Triangles

Mmuae Afoforo a Wobɛpaw:

\cong Complements Thm

\cong Supplements Thm

Same Side Int. \angles Converse

Alt. Int. \angles Converse

Division prop

Transitive prop

Given

Vertical Angles Thm

Exterior Angle Thm

Def. of bisect

Substitution

Alt. Int. \angles Thm

Def. of linear pair

Equilateral \Delta Thm

Same Side Ext. \angles Thm

Corr. \angles Axiom

Distributive prop

Subtraction prop

Right Angles \cong

SAS \cong

Multiplication prop

Reflexive prop

SSS \cong

Isosceles \Delta Thm

ASA \cong

CPCTC

Segment Addition

Def. of complementary

Third Angles Thm

Corr. \angles Converse

HL \cong

AAS \cong

Def. of \perp

Symmetric prop

Alt Ext. \angles Converse

Def. of midpoint

Angle Addition

Prove

Same Side Int. \angles Thm

Def. of supplementary

Triangle Sum Thm

Alt. Ext. \angles Thm

Simplification

Addition prop

Same Side Ext. \angles Converse

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

Distributive prop

Equilateral \Delta Thm

Simplification

Third Angles Thm

(P1) Congruent opposite sides

Division prop

ASA \cong

CPCTC

Reflexive prop

Transitive prop

Vertical Angles Thm

HL \cong

Alt. Int. \angles Converse

Same Side Int. \angles Converse

Prove

(RH1) All sides congruent

(RH3) Diagonals bisect angles

Corr. \angles Converse

Given

\cong Complements Thm

Multiplication prop

Angle Addition

Def. of linear pair

(R1) All angles congruent (90^o)

Same Side Ext. \angles Thm

(RH2) Diagonals perpendicular

Substitution

Def. of complementary

Same Side Int. \angles Thm

Def. of supplementary

(P2) Supplementary same side angles

Isosceles \Delta Thm

Segment Addition

Corr. \angles Axiom

Def. of \perp

SAS \cong

(P4) Diagonals bisect each other

Alt Ext. \angles Converse

(P3) Congruent opposite angles

Symmetric prop

Alt. Int. \angles Thm

Def. of bisect

Triangle Sum Thm

Same Side Ext. \angles Converse

(R2) Diagonals are congruent

SSS \cong

Addition prop

Alt. Ext. \angles Thm

AAS \cong

Exterior Angle Thm

(P0) Parallel opposite Sides

\cong Supplements Thm

Subtraction prop

Def. of midpoint

Right Angles \cong

1

All Statements

Mmuae Afoforo a Wobɛpaw:

Third Angles Thm

Same Side Int. \angles Thm

\cong Complements Thm

Same Side Ext. \angles Converse

Given

Addition prop

(R2) Diagonals are congruent

Equilateral \Delta Thm

Transitive prop

CPCTC

Reflexive prop

(RH2) Diagonals perpendicular

(P3) Congruent opposite angles

Isosceles \Delta Thm

Triangle Sum Thm

\cong Supplements Thm

Segment Addition

(R1) All angles congruent (90^o)

Multiplication prop

(P0) Parallel opposite Sides

Def. of supplementary

Substitution

Def. of \perp

ASA \cong

Right Angles \cong

Angle Addition

Alt. Int. \angles Thm

Subtraction prop

SAS \cong

(RH3) Diagonals bisect angles

Def. of bisect

HL \cong

Same Side Ext. \angles Thm

Alt. Ext. \angles Thm

Def. of linear pair

Alt Ext. \angles Converse

Simplification

AAS \cong

Corr. \angles Axiom

Same Side Int. \angles Converse

(P1) Congruent opposite sides

(P2) Supplementary same side angles

Def. of complementary

SSS \cong

Alt. Int. \angles Converse

(P4) Diagonals bisect each other

Distributive prop

Exterior Angle Thm

Symmetric prop

Division prop

Def. of midpoint

Prove

Vertical Angles Thm

Corr. \angles Converse

(RH1) All sides congruent

Proofs Template

Proofs Template