<p>if p and q are differnet points on a plane, the set of all points that are closer to p than to q is? </p>
<p>answer: region of plane on one side of a line </p>
<p>please explain! someone said midline theorem? please elaborate and in laymans term :) thanks!</p>
<p>Draw the line L1 going through p and q.
Find the midpoint of line segment pq and call this point m.
Then draw line L2, which is perpendicular to L1, and goes through point m.</p>
<p>Answer: Region of plane on one side of the line L2.</p>
<p>thanks! i can draw it out and understand it but for future problems like this, how should i prepare for it/answer it? thanks :)</p>
<p>Create a visual for yourself as pythagoras did, that will turn the words of the question to something you can see in your mind and answer.</p>