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5.4 Isosceles/Equilateral Triangles How to Classify Triangles Classify the following triangles by their sides and angles. Classify the following triangles by their sides and angles. • Has all 3 sides congruent • All angles are congruent • Has two congruent sides (called legs) • Base: the non-congruent side • Base Angles: the two adjacent angles to the base • Vertex Angle: the angle opposite of the base The line containing the angle bisector of the vertex angle of an isosceles triangle is a line of symmetry for the triangle.