Question

unit exam - tools of geometry
there is one and only one line that passes through them.
postulate #2:
if two distinct lines intersect, then their intersection is exactly one point.
postulate #3:
if two distinct planes intersect, then their intersection is a line.
postulate #4:
if you have three distinct noncollinear points, then there is exactly one plane that contains them.
what characteristic must three points have to determine a plane?
the points have no size
the points are noncollinear
the points are collinear

Explanation:

According to Postulate #4, three distinct noncollinear points determine a plane. Noncollinear means the points do not all lie on the same straight line. If points were collinear (all on one line), there would be infinitely many planes passing through that line. The fact that points have no size (a general property of points in geometry) is not relevant to determining a plane. So the key characteristic is that the points are noncollinear.

Answer:

B. The points are noncollinear