In the diagram, P1P2 and Q1Q2are the perpendicular bisectors of AB¯¯¯¯¯ and BC¯¯¯¯¯, respectively. A1A2 and B1B2 are the angle bisectors of ∠A and ∠B, respectively. What is the center of the circumscribed circle of ΔABC?

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06-05-2015
Mathematics

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In the diagram, P1P2 and Q1Q2are the perpendicular bisectors of AB¯¯¯¯¯ and BC¯¯¯¯¯, respectively. A1A2 and B1B2 are the angle bisectors of ∠A and ∠B, respectively. What is the center of the circumscribed circle of ΔABC?

See attachment below for picture/answer choices

Sagot :

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W0lf93 W0lf93 · Answer 1 · 2017-05-13T06:02:33-04:00

We have to choose the correct answer for the center of the circumscribed circle of a triangle. The center of the circumscribed circle of a triangle is where the perpendicular bisectors of a triangle intersects. In this case P1P2 and Q1Q2 are perpendicular bisectors of sides AB and BC, respectively and they intersect at point P. S is the point where the angle bisectors intersect ( it is the center of the inscribed circle ). Answer: P.

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