In the figure on right, L is the perpendicular bisector of line AB. If the lengths of the segments are as indicated, find x, y, and z.

Question

Answer 1

All points on a perpendicular bisector of a segment are equidistant from the endpoints of the segment. So any point that lies on line L will be the same distance from A as it is from B. So x is the same distance from A as the line labeled 9 is from B. Hence x = 9. You can do y and z.