Aaron is constructing a circle circumscribed about a triangle. He has partially completed the construction as shown below. What should be his next step in the construction?

Select one:
a. Connect the arc markings to angle E to find another bisector
b. Use the compass to find the perpendicular bisector for side DF
c. Connect three arc markings to the vertices form the triangle
d. Use the intersection of the arcs to determine the center of the circle

Question

Aaron is constructing a circle circumscribed about a triangle. He has partially completed the construction as shown below. What should be his next step in the construction? 

Select one:
a. Connect the arc markings to angle E to find another bisector 
b. Use the compass to find the perpendicular bisector for side DF 
c. Connect three arc markings to the vertices form the triangle 
d. Use the intersection of the arcs to determine the center of the circle

anonymous · Answer

attachment

anonymous · Answer

@Directrix

directrix · Answer

The center of the circle that can be circumscribed about a triangle is located at the point of intersection of two perpendicular-bisectors of the sides of the triangle. 

In the diagram, one perpendicular-bisector of the triangle has been drawn. You need a second one to establish the circle's center. So, which option is that? @chantz417

anonymous · Answer

d?

directrix · Answer

No, which option says "Use the compass ..."

anonymous · Answer

b but why do we need to use the compass

directrix · Answer

To construct a second perpendicular-bisector to intersect the one given with the problem.

That intersection is the center of the circle which we want to draw.

anonymous · Answer

ok

directrix · Answer

Constructions have to be done using a compass and a straightedge.

anonymous · Answer

i got a 100%!

directrix · Answer

Excellent news. Thanks for letting me know.