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This will contain important key words

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Question
Answer
Triangle Sum Theorem   The sum of the angle measures of a triangle is 180 degrees  
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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  
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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  
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Isosceles triangle   triangle with at least 2 congruent sides  
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Congruent sides of a triangle are called   legs  
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Angle formed by legs of triangle are   vertex angles  
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Side opposite of vertex angle is   base  
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Angles that have a base as a side are   base angles  
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Isosceles Triangle Theorem   If 2 sides of a triangle are congruent, then the 2 angles opposite the sides are congruent  
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Equilateral Triangle Theorem   If a triangle is equilateral, then it is equiangular  
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Converse of the Equilateral Triangle Theorem   If a triangle is equiangular, then it is equilateral  
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Triangle Inequality Theorem   The sum of any 2 side lengths of a triangle is greater than the 3rd side length  
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Side-Angle Relationships in Triangles   If 2 sides of a triangle are not congruent, then the larger angle is opposite the longer side  
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Angle-Side Relationships in Triangles   If 2 angles of a triangle are not congruent, then the longer side is opposite the larger angle  
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Circumcenter Theorem   The perpendicular bisectors of the sides of a triangle intersect at a point that is equidistant from the vertices of the triangle  
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Angle Bisector Theorem   If a point is on the bisector an of angle, then it is equidistant from the sides of the angle  
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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.  
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Incenter Theorem   The angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle  
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