Question

question 5 (multiple choice worth 1 points)
(07.02 mc)
james 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?
o connect the arc markings to angle e to find another bisector.
o use the compass to find the perpendicular bisector for side df
o connect these arc markings to determine the vertices from the triangle
o use the circumcenter to determine the center of the circle.

Explanation:

Step1: Recall the circumscribed circle construction

To construct a circumscribed circle about a triangle, we need to find the circum - center. The circum - center is the intersection point of the perpendicular bisectors of the sides of the triangle.

Step2: Analyze the given construction

In the given figure, some arc - markings (which are used to construct perpendicular bisectors) are already done. The next logical step in constructing the perpendicular bisectors (to find the circum - center) is to use the compass to find the perpendicular bisector for side \(DF\). After constructing the perpendicular bisectors of at least two sides of the triangle, their intersection point will be the circum - center.

Answer:

Use the compass to find the perpendicular bisector for side \(DF\)