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

1

Segments

Mmuae Afoforo a Wobɛpaw:

Substitution prop.

Transitive prop.

Prove (I DARE YOU)

Subtraction Prop.

Def. of midpoint

Symmetric prop.

Def. of bisect

Multiplication Prop.

Addition Prop.

Given

Division Prop.

Prove

Segment Addition Axiom

Reflexive prop.

Simplification

1

Angles

Mmuae Afoforo a Wobɛpaw:

Right Angle \cong

Def. of linear pair

Symmetric prop.

\cong Complements Thm.

Prove

Reflexive prop.

Given

Subtraction Prop.

Multiplication Prop.

Def. of bisect

Def. of complementary

Addition Prop.

Transitive prop.

Def. of supplementary

Vertical Angles Thm.

Simplification

Angle Addition Axiom

Division Prop.

\cong Supplements Thm.

Def. of \perp

Prove (I DARE YOU)

Substitution prop.

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Transitive prop

\cong Complements Thm

Alt. Int. \angles Converse

Alt. Int. \angles Thm

\cong Supplements Thm

Def. of linear pair

Prove

Addition prop

Subtraction prop

Vertical Angles Thm

Alt. Ext. \angles Thm

Def. of supplementary

Division prop

Def. of complementary

Angle Addition

Corr. \angles Converse

Symmetric prop

Same Side Int. \angles Converse

Right Angles \cong

Reflexive prop

Def. of bisect

Multiplication prop

Simplification

Same Side Int. \angles Thm

Corr. \angles Axiom

Def. of \perp

Alt Ext. \angles Converse

Given

Same Side Ext. \angles Thm

Substitution

Distributive prop

Same Side Ext. \angles Converse

1

Triangles

Mmuae Afoforo a Wobɛpaw:

SAS \cong

Symmetric prop

Simplification

Same Side Ext. \angles Converse

Triangle Sum Thm

Equilateral \Delta Thm

Vertical Angles Thm

Transitive prop

Subtraction prop

Corr. \angles Axiom

ASA \cong

HL \cong

Reflexive prop

CPCTC

Same Side Ext. \angles Thm

Def. of supplementary

Right Angles \cong

Alt Ext. \angles Converse

Addition prop

Alt. Int. \angles Converse

Angle Addition

Def. of complementary

\cong Complements Thm

Corr. \angles Converse

Segment Addition

Alt. Ext. \angles Thm

SSS \cong

Same Side Int. \angles Converse

Alt. Int. \angles Thm

Substitution

Exterior Angle Thm

Def. of linear pair

Isosceles \Delta Thm

Def. of midpoint

Multiplication prop

AAS \cong

Division prop

\cong Supplements Thm

Given

Distributive prop

Def. of bisect

Def. of \perp

Prove

Same Side Int. \angles Thm

Third Angles Thm

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

Division prop

Substitution

Simplification

Same Side Int. \angles Converse

Def. of supplementary

Same Side Ext. \angles Converse

Same Side Int. \angles Thm

Same Side Ext. \angles Thm

Def. of midpoint

Alt. Ext. \angles Thm

Given

Addition prop

Third Angles Thm

Distributive prop

Alt Ext. \angles Converse

(P1) Congruent opposite sides

Isosceles \Delta Thm

\cong Complements Thm

Reflexive prop

Multiplication prop

Prove

Vertical Angles Thm

\cong Supplements Thm

Alt. Int. \angles Thm

ASA \cong

Alt. Int. \angles Converse

(P3) Congruent opposite angles

(RH1) All sides congruent

Equilateral \Delta Thm

AAS \cong

Angle Addition

Exterior Angle Thm

(P0) Parallel opposite Sides

(RH2) Diagonals perpendicular

Def. of \perp

SSS \cong

HL \cong

Def. of bisect

Corr. \angles Converse

CPCTC

SAS \cong

Right Angles \cong

(P2) Supplementary same side angles

(RH3) Diagonals bisect angles

Symmetric prop

Subtraction prop

Def. of linear pair

Def. of complementary

Transitive prop

(R1) All angles congruent (90^o)

(P4) Diagonals bisect each other

Corr. \angles Axiom

Triangle Sum Thm

(R2) Diagonals are congruent

Segment Addition

1

All Statements

Mmuae Afoforo a Wobɛpaw:

Right Angles \cong

Same Side Int. \angles Converse

Isosceles \Delta Thm

(R2) Diagonals are congruent

ASA \cong

Same Side Ext. \angles Thm

Segment Addition

SAS \cong

Symmetric prop

Third Angles Thm

Addition prop

Multiplication prop

SSS \cong

Corr. \angles Converse

\cong Complements Thm

(P4) Diagonals bisect each other

Def. of bisect

Same Side Int. \angles Thm

Vertical Angles Thm

Def. of complementary

Distributive prop

(RH2) Diagonals perpendicular

Prove

Substitution

CPCTC

Transitive prop

Triangle Sum Thm

Division prop

Def. of linear pair

Same Side Ext. \angles Converse

(P0) Parallel opposite Sides

Alt. Ext. \angles Thm

Def. of supplementary

(P2) Supplementary same side angles

(RH3) Diagonals bisect angles

Alt. Int. \angles Thm

Reflexive prop

Given

Angle Addition

Def. of midpoint

Equilateral \Delta Thm

(P3) Congruent opposite angles

Corr. \angles Axiom

Exterior Angle Thm

Alt Ext. \angles Converse

(RH1) All sides congruent

Simplification

HL \cong

(R1) All angles congruent (90^o)

Subtraction prop

Alt. Int. \angles Converse

(P1) Congruent opposite sides

Def. of \perp

AAS \cong

\cong Supplements Thm

Proofs Template

Proofs Template