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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

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 class=

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calculista

Answer:

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

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