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Question

The Isosceles Triangle Angle Bisector to Congruent Sides Theorem states: "In an isosceles triangle, the angle bisectors to the congruent sides are congruent." Draw and label a diagram you can use to help you prove this theorem. State the "Given" and "Prove" statements.

Solution

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1 of 2Given: Triangle ABC is an isosceles triangle with $\overline {AB} \cong \overline {AC}$ $\overline {CD}$ bisects $\angle {ACD}$ $\overline {BE}$ bisects $\angle {ABC}$ Prove: $\overline {CD} \cong \overline {BE}$

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