10 terms

# Accelerated Geometry Semester 1 Notecards

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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
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
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 ≅