Question

Which of the following is a step in constructing a circle circumscribed about a triangle? (6 points)

Construct the perpendicular bisectors of each side.
Construct the angle bisectors of each side.
Use a compass to locate the midpoint of each side.
Use a compass to locate the altitude of each side

Answer 1

Construct the perpendicular bisectors of each side.

Explanation:

To circumscribe means to construct a required shape outside a given shape. The given shape would be inside the required shape.

Constructing a circle circumscribed about a triangle implies to construct a circle outside the given triangle, with the circle passing through the three vertices of the triangle externally.

The first thing to do after drawing the given triangles with respect to its dimensions is to; construct a perpendicular bisector for any two or all sides of the triangle. These bisectors would meet at center O, which can be used to construct the requied circle in addition to its distance to one of the vertices of the triangle.

Answer 2

We can circumscribe a circle around any triangle. The first thing we do is we find the center of the circumscribed circle, that is the Circumcenter. To find the circumcenter we construct the perpendicular bisectors of each side. We see that the three of them intersect at a point. Then we open the compass from this point to any of the vertices of the triangle and draw the circle.

So answer: Construct the angle bisectors of each side.