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6 Cards in this Set
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Use this theorem for the following proof:
Given: △ ABC Prove: angle A + angle B+ angle C = 180 
The sum of the measures of the three angles of a triangle is 180.


Definition of an Exterior Angle of a polygon

An ext. angle of a polygon is an angle that is adjecent to and supplementary to an interior angle of the polygon.


Theorem to solve
Given △ DEF w/ ext angle 1 @ F Prove: m angle 1 = m angle D+ m of angle E 
refer to p. 296 for diagream
The measurement of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles 

Midline Theorem

A segment joining the midpoints of two sides of a triangle is parallel to the third side, and its length is onehalf the length of the third side.
p. 296 

Nochoice theorem

If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are congruent.


AAS theorem

If there exists a correspondence between vertices of two triangles such that two angles and a nonincluded side of one are congruent to the corresponding parts of the other, then the triangle are congruent.
