2. which diagram shows a point p an equal distance from points a, b, and c? h

The correct option is (a).

Step-by-step explanation:

The vertices are equidistant from the circumcenter.

Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.

In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.

Therefore option (a) is correct.

In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.

Therefore option (b) is incorrect.

In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.

Therefore option (c) is incorrect.

In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.

Therefore option (d) is incorrect.

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step-by-step explanation: