B) Three

A plane is a flat 2D surface. It is a rule that you need at least 3 points to know the orientation (angle) of the plane. Two points would only be able to form a line, and though that line can be going through the plane, you won't be able to know what orientation (angle) that plane is at.

A plane is a flat 2D surface. It is a rule that you need at least 3 points to know the orientation (angle) of the plane. Two points would only be able to form a line, and though that line can be going through the plane, you won't be able to know what orientation (angle) that plane is at.

Step-by-step explanation:

Given are some properties of triangles and we have to check whether they are correct

i) Only two of three angle bisectors of the internal angles of a triangle are concurrent.

This is incorrect since all three angle bisectors concur at incentre

ii) The circumcenter of a triangle is the point where the perpendicular bisectors of the sides meet.

-- correct because the meeting point is equidistant from all three vertices

iii) Given any three non-collinear points, there exists exactly one circle that passes through the points.

-- correct because any three points determine a circle

iv) Given any three non-collinear points, there exists exactly one circle that passes through the points.

-- Correct

v) The incenter of a triangle is the point where the angle bisectors meet.

-- Correct and the centre is equidistant from the sides of the triangle

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