Triangle PQR where PS = SR

Jonathan , Magoosh Tutor

Hi Vidhit. Please refer to this blog post to see what exterior angle can mean: https://magoosh.com/gre/2014/two-definitions-of-exterior-angle-in-gre-geometry/

Nov 13, 2017 • Reply

Jonathan , Magoosh Tutor

Hi Naveen,
No. This would only be true for an isosceles triangle with PQ = QR and therefore QS would be the perpendicular bisector of PR.

It is true that WITHIN THE SAME triangle, if two sides are equal, then the sides opposite them are equal, and vice-versa, but PS and SR are sides of different triangles (SPQ and SRQ).

Sep 4, 2017 • Reply