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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.

HELP PLEASEEEEEEEE B D م 2016 StrongMind Created using GeoGebra Given that AD is a perpendicular bisector of BC what steps will prove that A

Answer :

The ASA Congruence Postulate is the more appropriate choice, given the right angle at D and the shared angle A.

What is the congruence about?

AD is a perpendicular bisector of BC, so AD intersects BC at right angles (90 degrees).

AD bisects BC, so BD = DC.

Triangle ABD and ACD share angle A and have right angles at D, so they are congruent by ASA.

Since triangles ABD and ACD are congruent, corresponding sides are equal: AB = AC.

Since AB = AC, A is equidistant from B and C.

Therefore, we have proved that A is equidistant from B and C.

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