lot help: I need some help with a Geometry problem. - Help.com

oliviapeytonaver
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I need some help with a Geometry problem.

Okay, so the problem says this:
Given: In Triangle PQR, PR = PQ, Angle P=Angle Q and segment RS is a median.
Prove: Triangle PSR is congruent to Triangle QSR. I’m having a lot of trouble drawing this. Obviously, median means midpoint which means two congruent segments, and the others are a pair of congruent segments and angles. The problem is I draw it and PQ (which is congruent to QR) is separated by S, the midpoint. Thanks to all helpers. (:

This open post was written 1 year ago | V/U/S: 172, 1, 2 | Edit Post | Leave a reply | Report Post


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geometry, Triangle, Angle, drawing, Angles, median, Congruence, lot, trouble, midpoint (How Tags Affect Reciprocity)

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Creal Default offline Verified User (2 years, 12 months) Long Term User Shouts: 2 #
Houston, TX, US | 1 year ago (53 minutes after post)

Well, if I’m reading this right, the triangle has to be an equilateral triangle. Because PR = PQ, and angle P = angle Q means QR = PR. So, QR = PR = PQ.

The RS median is a line drawn from the point R, through the center of the triangle (centroid), and should stop in the middle of PQ.

So, if I were drawing this: I’d draw an equilateral triangle, put the R on top, label the other two corners P and Q, draw a line straight down from Rt to the bottom line, mark that spot S, and you should see that you have two congruent right triangles after you’re done.

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