Coordinate+Proof+Practice+Problems

(Graph the following equations on a sheet of graph paper)

1) Given- Segment GJ Bisects Angle OGH  Prove- Triangle GJO is congruent to triangle GJH

2) Given- D= (h,2k) E= (2h,2k) C= (h,k), O= (0,0) and B= (h,o)  Prove- Triangle OBC is congruent to triangle EDC

3) Given- R= (0,60) O= (0,0), T= (60,0), and OS bisects angle TQR  Prove- Line OS bisects angle TQR

4) Given- P= (0,2h), N= (h,h), M= (2h,0), O= (0,0)  Prove- Triangle NPO is congruent to triangle NMO