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6 Cards in this Set

  • Front
  • Back
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 one-half the length of the third side.

p. 296
No-choice 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.