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

1

Segments

Mmuae Afoforo a Wobɛpaw:

Subtraction Prop.

Given

Prove (I DARE YOU)

Def. of bisect

Substitution prop.

Addition Prop.

Segment Addition Axiom

Division Prop.

Multiplication Prop.

Reflexive prop.

Symmetric prop.

Simplification

Def. of midpoint

Prove

Transitive prop.

1

Angles

Mmuae Afoforo a Wobɛpaw:

Def. of supplementary

Def. of complementary

Def. of \perp

Symmetric prop.

Transitive prop.

\cong Supplements Thm.

Angle Addition Axiom

Subtraction Prop.

Multiplication Prop.

Prove

Simplification

Def. of bisect

Given

Vertical Angles Thm.

Prove (I DARE YOU)

Right Angle \cong

\cong Complements Thm.

Addition Prop.

Reflexive prop.

Division Prop.

Substitution prop.

Def. of linear pair

1

Parallel Lines

Mmuae Afoforo a Wobɛpaw:

Multiplication prop

Right Angles \cong

Vertical Angles Thm

Def. of linear pair

Division prop

Distributive prop

Given

Def. of \perp

Corr. \angles Converse

Same Side Int. \angles Thm

Transitive prop

Alt. Int. \angles Converse

Symmetric prop

Same Side Ext. \angles Thm

Angle Addition

Same Side Ext. \angles Converse

Addition prop

Simplification

Reflexive prop

Subtraction prop

\cong Supplements Thm

Prove

\cong Complements Thm

Alt. Int. \angles Thm

Def. of bisect

Def. of supplementary

Def. of complementary

Alt. Ext. \angles Thm

Substitution

Alt Ext. \angles Converse

Corr. \angles Axiom

Same Side Int. \angles Converse

1

Triangles

Mmuae Afoforo a Wobɛpaw:

Same Side Int. \angles Converse

Simplification

AAS \cong

Third Angles Thm

Alt Ext. \angles Converse

Angle Addition

Isosceles \Delta Thm

Def. of bisect

Vertical Angles Thm

Addition prop

Same Side Ext. \angles Thm

Symmetric prop

SSS \cong

SAS \cong

Def. of \perp

Segment Addition

\cong Supplements Thm

Corr. \angles Converse

Def. of complementary

Def. of supplementary

Subtraction prop

Distributive prop

Alt. Int. \angles Converse

\cong Complements Thm

Division prop

Def. of midpoint

Corr. \angles Axiom

Alt. Ext. \angles Thm

Same Side Int. \angles Thm

Triangle Sum Thm

Alt. Int. \angles Thm

CPCTC

Prove

HL \cong

ASA \cong

Equilateral \Delta Thm

Substitution

Transitive prop

Reflexive prop

Multiplication prop

Given

Def. of linear pair

Same Side Ext. \angles Converse

Right Angles \cong

Exterior Angle Thm

1

Quadrilaterals

Mmuae Afoforo a Wobɛpaw:

Prove

Multiplication prop

Substitution

Same Side Ext. \angles Thm

Same Side Int. \angles Converse

Symmetric prop

(RH1) All sides congruent

Def. of \perp

\cong Complements Thm

Equilateral \Delta Thm

(R1) All angles congruent (90^o)

HL \cong

(RH3) Diagonals bisect angles

Def. of complementary

Alt Ext. \angles Converse

(P4) Diagonals bisect each other

Corr. \angles Axiom

Transitive prop

Simplification

Distributive prop

Def. of midpoint

\cong Supplements Thm

Right Angles \cong

Addition prop

Reflexive prop

Def. of linear pair

Same Side Int. \angles Thm

SAS \cong

Exterior Angle Thm

Vertical Angles Thm

Triangle Sum Thm

(RH2) Diagonals perpendicular

Same Side Ext. \angles Converse

(P0) Parallel opposite Sides

CPCTC

(P3) Congruent opposite angles

ASA \cong

AAS \cong

Alt. Int. \angles Thm

Def. of supplementary

(P2) Supplementary same side angles

(P1) Congruent opposite sides

Subtraction prop

Def. of bisect

Third Angles Thm

(R2) Diagonals are congruent

Alt. Int. \angles Converse

Division prop

Angle Addition

Alt. Ext. \angles Thm

SSS \cong

Segment Addition

Given

Isosceles \Delta Thm

Corr. \angles Converse

1

All Statements

Mmuae Afoforo a Wobɛpaw:

HL \cong

(P4) Diagonals bisect each other

Exterior Angle Thm

Division prop

Equilateral \Delta Thm

Segment Addition

Addition prop

Triangle Sum Thm

Symmetric prop

SSS \cong

Def. of \perp

Same Side Ext. \angles Converse

Def. of midpoint

(RH1) All sides congruent

Reflexive prop

Def. of supplementary

Angle Addition

Def. of linear pair

Prove

Alt. Ext. \angles Thm

(RH3) Diagonals bisect angles

Corr. \angles Axiom

(R2) Diagonals are congruent

(P2) Supplementary same side angles

Right Angles \cong

\cong Complements Thm

Same Side Ext. \angles Thm

Def. of complementary

(P0) Parallel opposite Sides

CPCTC

SAS \cong

Third Angles Thm

Def. of bisect

(R1) All angles congruent (90^o)

Given

AAS \cong

\cong Supplements Thm

Same Side Int. \angles Converse

Corr. \angles Converse

(P3) Congruent opposite angles

(RH2) Diagonals perpendicular

Isosceles \Delta Thm

(P1) Congruent opposite sides

Subtraction prop

Substitution

Transitive prop

Multiplication prop

Distributive prop

Alt. Int. \angles Thm

Alt Ext. \angles Converse

Same Side Int. \angles Thm

Alt. Int. \angles Converse

ASA \cong

Simplification

Vertical Angles Thm

Proofs Template

Proofs Template