8. point o is the circumcenter of the triangle abc shown below.
which segment passes through point o for all lengths of sides of the triangle?
a. angle bisector of angle abc
b. perpendicular bisector of side ab
c. a line segment drawn from vertex c to bisect side ab
d. a line segment drawn from vertex a to cut side bc at right angles

Option B. perpendicular bisector of side AB

Step-by-step explanation:

we know that

The circumcenter is the intersection point of the perpendicular bisectors of a triangle  

so

In this problem

The circumcenter O is the intersection point of perpendicular bisector of side AB and perpendicular bisector of side BC

OA=OB=OC > the radius of the circle that passes through all three of the triangle's vertices.

therefore

Option B. perpendicular bisector of side AB

hc ghfrfgb

step-by-step explanation:

gedfgb nbgfrezrdfgbn bgfderdfgbvn bvfdsvcb bvfdfgb gfdgb gfr