In the construction of a circumscribed circle about triangle DEF, if Michael has already created two sets of intersecting arc markings on either side of side EF, his next step should be to use the intersection of arcs to determine the center of the circle. This is because finding the circumcenter of the triangle involves locating the point where the perpendicular bisectors of the triangle's sides intersect, which is often indicated by these arc intersections. Thus, the correct next step in the construction is to determine the center of the circumscribed circle based on the existing arc markings.
Michael is constructing a circle circumscribed about a triangle. He has partially completed the construction. What should be his next step in the construction? (1 point)
Triangle DEF is shown with two sets of intersecting arc markings on either side of side EF.
Connect the arc markings to complete the perpendicular bisector.
Find the perpendicular bisectors for side DF and DE.
Connect three arc markings together to form the triangle.
Use the intersection of arcs to determine the center of the circle.
1 answer
1 answer