McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
1. Bisectors of Triangles
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Exercise 19 Page 412

A circumcenter is a point of concurrency of the perpendicular bisectors of a triangle.

HB

Practice makes perfect
It is given that D is a circumcenter of the triangle â–ł ABC. Let's review that a circumcenter is a point of concurrency of the perpendicular bisectors of a triangle.

Thus, DH is a perpendicular bisector of AB. A bisector of the segment intersects it in its midpoint, so H is a midpoint of the segment AB. Therefore, AH and HB are congruent segments.