SOLUTION: My problem does not come from a textbook my teacher gave it to me in a packet...the information that was given is that line PQ is the perpendicular bisector of line segment FG.Lin

Question 112503: My problem does not come from a textbook my teacher gave it to me in a packet...the information that was given is that line PQ is the perpendicular bisector of line segment FG.Line FP=4X-9,PG=2/3x+21,FQ=9/2y-4 and QG=5y-6 what is the value of x and y?

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Start by labeling the intersection of the two lines FG and PQ with an O.

Since PQ is a perpendicular bisector of FG, we know that segments FO and OG must be equal. And since PO = PO and angle FOP = angle GOP because FG and PQ are perpendicular, we know that is congruent to . Now we can say for certain that FP = PG, therefore,

Similarly, we can show that FQ = QG, hence,

And there you have it.

Hope that helps,
John
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