Math Question

<p>Math question time!
Points Q,R, and S lie on line l in that order, and point P is not on L. If PQ=PS, which of the following must be true?
A. PQ>PR
B.PQ>QR
C. PQ>QS
D. PR>RS
E. QR>RS</p>

<p>b. PQ > QR</p>

<p>if you make a line with those points on it, and draw point Q above or below the line that is directly above the midpoint of PS, then you’ll have an isosocles triangle PQS. And you know that any point form the point Q to the line is less than PQ and QS (draw it out, it makes more sense). Therefore, QR has to be less than PQ.</p>

<p>Hope this made sense!</p>

<p>I think its “A”…</p>

<p>The answer is A!</p>

<p>The answer is indeed A. The only correct explanation I can think of is that no matter where R is on the line, it will never cross points Q and S. Therefore, because QP=SP,Angle PQS and angle PSQ are equal, and R cannot lie past point Q and S, angle PQS will always be less than angle PRS or angle PRQ. Therefore, line PQ must be greater than line PR.</p>

<p>^ yep that’s that way i thought of it too!!</p>

<p>yeah, it’s A.</p>

<p>I made the points wrong and put Q as the point that wasn’t above the line. woops, haha.</p>