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2016 StrongMind. Created using GeoGebra
Given that AD is a perpendicular bisector of BC, what steps will prove that A is equidistant from B and C?
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Use the given information to show that triangles ABD and ACD are congruent by the SSS Congruence Postulate. Then, show
congruent sides using the definition of congruent triangles. Finally, use the definition of congruent sides to show AB = AC.
Prove the triangles congruent using the SSS Congruence Postulate, and then show congruent sides using the definition of congruent
triangles. Finally, use the definition of congruent sides to show AB AC.
Use the given information to show that AD intersects BC at right angles, and then prove triangles ABD and ACD congruent using
O the ASA Congruence Postulate. Next, show congruent sides using the definition of congruent triangles. Finally, use the definition of
congruent sides to show AB AC.
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Prove the triangles congruent using the ASA Congruence Postulate. Next, show congruent sides using the definition of congruent
triangles. Finally, use the definition of congruent angles to show BD = DC.