The figure below shows some steps performed to circumscribe a circle about triangle ABC using only a compass and straightedge.

Which statement about point O must be true?

The median of side AC will also pass through O.
The altitude of side AC will also pass through O.
The distance from O to vertex B is the diameter of the inscribed circle.
The distance from O to vertex B is the radius of the circumscribed circle.

Question

The figure below shows some steps performed to circumscribe a circle about triangle ABC using only a compass and straightedge.

Which statement about point O must be true?

The median of side AC will also pass through O.
The altitude of side AC will also pass through O.
The distance from O to vertex B is the diameter of the inscribed circle.
The distance from O to vertex B is the radius of the circumscribed circle.

anonymous · Answer

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ash2326 · Answer

The perpendicular bisectors of the sides of a triangle meet at a point which is equidistant from the vertices.
Because this point is equidistant from the vertices, it will be the centre of the CIRCUMCIRCLE.
Can you choose the correct option now?

anonymous · Answer

To me its the distance from o to the vertex b is the radius of the circumscribed circle, since it will create an length the same from O to all the vertex which will then when created the circle be called radius.