# Name a median of ABC?

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• A median of a triangle connects a vertex (e.g. A) to the midpoint of the opposite side (e.g. BC).

We can see that point D is a midpoint of BC because the two segments (BD and CD) are congruent. Hence AD is the only marked median.

BF is the side of an angle bisector, but isn’t a median. And CE is an altitude of the triangle (intersecting the opposite side at a right angle), but again is not a median.

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• A median of a triangle connects a vertex (e.g. A) to the midpoint of the opposite side (e.g. BC).

We can see that point D is a midpoint of BC because the two segments (BD and CD) are congruent. Hence AD is the only marked median.

BF is the side of an angle bisector, but isn’t a median. And CE is an altitude of the triangle (intersecting the opposite side at a right angle), but again is not a median.

• AD is one median of the triangle ABC.

Reason:

BD = DC (as marked)

So D is the mid point of BC.