Geometry Ch 34
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The figure formed by 3 segments joining 3 noncollinear points
definition of a triangle

What type of triangle is this?
Scalene

What type of triangle is this?
isosceles

What type of triangle is this?
 equilateral
 sides are equal.

isosceles triangles are ________ equilateral.
sometimes

equilateral triangles are ________ isosceles.
always

What type of traingle is this?
acute

What type of triangle is this?
obtuse

What type of triangle is this?
right

What type of triangle is this?
 equiangular
 angles are equal.

What theorem proves this angle to be 100?
the sum of the measures of the interior angles of any triangle is 180.

What theorem proves that angle 1 is congruent to angle 2 plus angle 3?
the measure of the exterior angle of a triangle equals the sum of the measures of its 2 remote interior angles.

What are remote interior angles?
the angles away from a particular angle.

Name the corollary that proves the following:
if two angles of one triangle are congruent to 2 angles of another, then the third angles are congruent.

Name the corollary that proves the following:
each angle of an equiangular triangle has a measure of 60.

Name the corollary that proves the following:
in a triangle, there can be at most one right angle or one obtuse angle.

Name the corollary that proves the following:
the acute angles of a right triangle are complementary