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Ext. Sides Adj. Acute ∠s ⊥, complementary

if the exterior side of two adjacent acute ∠s are ⊥, then the ∠ are complementary ∠

The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360.

in triangle abc, the measures of the ext. ∠s = 360.

in parallelogram abcd, the measures of the ext. ∠s = 360

in parallelogram abcd, the measures of the ext. ∠s = 360

ASA

if two ∠s and the included side of one triangle are ≅ to to ∠s and the included side of another triangle, then the triangles are ≅

SAS

if two sides and the included ∠ of one triangle are congruent to two sides and the included ∠ of another triangle, then the triangles are ≅

SSS

if three sides of one triangle are ≅ to three sides of another triangle, then the triangles are ≅

Properties of Equilateral/Equiangular Triangles

-an equiangular triangle is also equilateral

-an equiangular triangle is also equilateral

-an equilateral triangle has 3 60 degree angles

-an equiangular triangle is also equilateral

-an equilateral triangle has 3 60 degree angles

AAS

If two angles and a non-included side of one triangle are ≅ to the corresponding parts of another triangle, then triangles are ≅

Base Angles Converse

if 2 sides of a triangles are ≅, then the sides opposite those angles are ≅

Base Angles Theorem

if two sides of a triangle are ≅, then the ∠s opposite those sides are also ≅

Third Angles Theorem

if two angles of a triangle are ≅ to two ∠s of another triangle, then the third angles are ≅