It also establishes that the angle bisector AM is the perpendicular bisector of the base BC. This congruence result, however, establishes much more than the equality of the base angles. To prove that B = C in the diagram opposite, we constructed the angle-bisector AM of the apex A, then used the SAS congruence test to prove that In the module, Congruence, congruence was used to prove that the base angles of an isosceles triangle are equal. The axis of symmetry of an isosceles triangle We begin by relating the reflection and rotation symmetries of isosceles triangles, parallelograms and rectangles to the results that we proved in the previous module, Paralleograms and Rectangles. Symmetries of triangles, parallelograms and rectangles
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