When constructing a prependicular bisector why must the compass opening be greater than 1/2 the length of the segment ?

When constructing a prependicular bisector why must the compass opening be greater than 12 the length of the segment class=

Respuesta :

Because otherwise the two circles you build wouldn't have any intersection!

You have to draw two circles, centered at the endpoints of the segment, and connect their intersection.

If the radii are less than half the length of the circle, the circles will have no interserction.