What geometric
constructions can have a
perpendicular bisector?

The perpendicular bisector of a line creates a 90 degree angle with the line and intersects the line at its midpoint. We can construct a perpendicular bisector using three easy steps. Create an arc from one of the endpoints of the line segment with a radius that is just over the halfway point of the line segment.

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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