In triangle GFH, line k is the perpendicular bisectors of FH and line w is the perpendicular bisector of GH.

Which statement describes the location of the circumcenter of triangle GFH?

A) the intersection of line k and FH

B) the intersection of lines k and w

C) the intersection of line k and GH

D) point F

Question

05-07-2018
Mathematics

contestada

In triangle GFH, line k is the perpendicular bisectors of FH and line w is the perpendicular bisector of GH.

Which statement describes the location of the circumcenter of triangle GFH?

A) the intersection of line k and FH

B) the intersection of lines k and w

C) the intersection of line k and GH

D) point F

Respuesta :

Otras preguntas

During the case of Brown v. Board of Education, which constitutional amendment did the Supreme Court find had been violated by the Kansas Board of Education? Th

If f(x) = 2x+1 and g(x)= X2-5, find (gºf)(2)

Examine the list of cell characteristics. lack nuclei have cell walls have membrane-bound organelles are smaller than eukaryotic cells have DNA organized into l

what is : 56.25% times 16=

A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed. Th

The fourth question

A country's rate of economic growth is important because A. an economy that grows too slowly is always involved in human rights violations. B. a slowly growing

FLVS HOPE (01.06 LC) Which of the following technologies would be the most useful to you for monitoring heart rate? Foot pod Watch with a timer GPS app on your

2 2/3 ÷ 2/3 = 4 1/3 True or false3× 2/3 = 3 2/3

Hard math please help.

DeanR DeanR · Answer 1 · 2018-07-05T17:41:53+02:00

The circumcenter of a triangle is the center of the circle through the vertices of the triangle.

The thing about a circle's center is it's equidistant from all the points on the circle. So the circumcenter is equidistant between any pair of the triangle's vertices, because they're all on the circle.

A point equidistant to two points must lie on the perpendicular bisector of the segment formed by the two points. So the circumcenter lies on the perpendicular bisector of each triangle side. They will be concurrent (meet at a point), and that point is the circumcenter.

So the circumcenter is the meet of the perpendicular bisectors, choice B.