1. DMR #15 (8x 2 + 6x – 2) – (3x 2 + 2x + 4)

2. Homework Answers 1. (a) 8(b) 16(c) 14 3. (a) 9.5(b) 17.5(c) 14.5 4. 175. 20.5 6. 7 10. (a) 18 (b) 61 11. AB // IH; BC // GI; AC // GH 12. XY // RQ; XZ // PQ; ZY // RP

3. Bisectors in Triangles

4. Theorems Perpendicular Bisector Theorem: any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. Converse: if a point is equidistant from the endpoints, then it is on the perpendicular bisector.

5. Theorems Angle bisector Theorem: if a point is on the angle bisector, then it is equidistant from the sides of the angle. Converse: if a point is equidistant from the sides of an angle, then the point is on the angle bisector.

6. Example 1 Find x. 5x + 63 14x

7. Try Find x. 7x + 72 15x

8. Example 2 Find x, FD, and FB

9. Try Find y, PS, and RS

10. Challenge!! How far is K from EH? How far is K from ED? What can you conclude about EK? Find x. Find m∟DEH.