The intersection of the three perpendicular bisectors of a triangle is called the ___________ of the triangle.
a)Circumcenter
b)Incenter
c)Orthocenter
d)Centroid
2007-09-08 16:51:12 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
correct answer: C (Orthocenter)
Proof:
Circumcenter: that point where any two perpendicular bisectors of the sides of a polygon inscribed in the circle intersect.
Incenter: that point where the bisectors of the angles of a triangle or of a regular polygon intersect.
Orthocenter: The point of intersection of the three altitudes of a triangle.
Centroid: the point that may be considered as the center of a one- or two-dimensional figure, the sum of the displacements of all points in the figure from such a point being zero
2007-09-08 17:04:11 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Circumcenter 100% positive
2007-09-08 16:56:58 · answer #2 · answered by Anonymous · 0⤊ 0⤋
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2016-12-16 15:15:47 · answer #3 · answered by ? 4 · 0⤊ 0⤋
I'm going with D since it's the only one I've heard of.
Centroid. Wikipedia agrees.
2007-09-08 16:57:16 · answer #4 · answered by MarmotW 1 · 0⤊ 0⤋
it's centroid.
Those three lines meet at the center of the inscribed circle.
2007-09-08 22:51:29 · answer #5 · answered by wangsacl 4 · 0⤊ 0⤋
Probably (c), since ortho- has to do with perpendiculars.
2007-09-08 16:56:08 · answer #6 · answered by cattbarf 7 · 0⤊ 0⤋
A
2007-09-08 16:59:07 · answer #7 · answered by ProudToBeWhite 6 · 0⤊ 0⤋