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6 Cards in this Set
- Front
- Back
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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.
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Definition of an Exterior Angle of a polygon
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An ext. angle of a polygon is an angle that is adjecent to and supplementary to an interior angle of the polygon.
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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 |
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Midline Theorem
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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 |
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No-choice theorem
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If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are congruent.
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AAS theorem
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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.
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