HELP ASAP Use the diagram to answer the question.

Triangle ABC with a segment drawn from A to point D on BC.

Given that AD¯¯¯¯¯¯¯¯ is a perpendicular bisector of BC¯¯¯¯¯¯¯¯, what steps will prove that A is equidistant from B and C?

Use the given information to show that AD¯¯¯¯¯¯¯¯ intersects BC¯¯¯¯¯¯¯¯ at right angles, and then prove triangles ABD and ACD congruent using 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. Use the given information to show that line segment cap A cap d intersects line segment cap b cap c at right angles, and then prove triangles cap A cap b cap d and cap A cap c cap d congruent using the ASA Congruence Postulate. Next, show congruent sides using the definition of congruent triangles. Finally, use the definition of congruent sides to show

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. 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

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. 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

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. Use the given information to show that triangles cap A cap b cap d and cap A cap c cap d 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