Geometry Theorems & Postulates

Triangle postulates:

ASA, AAS, SAS, SSS

Vertical angles are…

Congruent

AIP Theorem:

If alt. int. angles are congruent, then lines are parallel

Corr. angles congruent =

ll lines

Alt. ext. angles congruent=

ll lines

Consec. angles supp=

ll lines

PAI Theorem

if lines are parallel than alt. int. angles are congruent

If lines are ll then alt. ext. angles are…

Congruent

If lines are ll then Corr. angles are…

Congruent

If lines are ll then consec angles are…

supp.

Triangle sum theorem:

The int. angles of a triangle add to 180

Triangle ext. angle theorem:

the measure of an ext angle of a triangle equals the sum of the measures of the 2 angles opposite it.

Correstponding angles:

Angles that are in the same position at 2 different intersection points

Consecutive angles:

Angles that are in between 2 lines on the same side of the transversal. (same side interior)

Converse

If q, than p

Inverse

If not p, then not q

Contraposititve

If not q, then not p