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# Module 15

### This will contain important key words

Triangle Sum Theorem The sum of the angle measures of a triangle is 180 degrees
Polygon Angle Sum Theorem The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180 degrees
Exterior Angle Theorem The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles
Isosceles triangle triangle with at least 2 congruent sides
Congruent sides of a triangle are called legs
Angle formed by legs of triangle are vertex angles
Side opposite of vertex angle is base
Angles that have a base as a side are base angles
Isosceles Triangle Theorem If 2 sides of a triangle are congruent, then the 2 angles opposite the sides are congruent
Equilateral Triangle Theorem If a triangle is equilateral, then it is equiangular
Converse of the Equilateral Triangle Theorem If a triangle is equiangular, then it is equilateral
Triangle Inequality Theorem The sum of any 2 side lengths of a triangle is greater than the 3rd side length
Side-Angle Relationships in Triangles If 2 sides of a triangle are not congruent, then the larger angle is opposite the longer side
Angle-Side Relationships in Triangles If 2 angles of a triangle are not congruent, then the longer side is opposite the larger angle
Circumcenter Theorem The perpendicular bisectors of the sides of a triangle intersect at a point that is equidistant from the vertices of the triangle
Angle Bisector Theorem If a point is on the bisector an of angle, then it is equidistant from the sides of the angle
Converse of the Angle Bisector Theorem If a point in the interior of an angle is equidistant from the sides of the angle, then it is on the bisector of the angle.
Incenter Theorem The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle
Created by: pandabear66*
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