Question

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Answer 1

Answer:

D.  Construct the perpendicular of ab and ac

Step-by-step explanation:

Circumscribe a Circle on a Triangle

Construct the perpendicular bisector of one side of the triangle.

Construct the perpendicular bisector of another side.

Where they cross is the center of the Circumscribed circle.

Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle

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Answer 2

Answer: D) Construct the perpendicular bisectors for AB and AC.

The intersection of all three perpendicular bisectors will form the circumcenter, which is the center of the circumcircle. This circle goes through all three corner points of the triangle. At minimum, you only need two perpendicular bisectors to get the job done. Choice B is close, but is missing that second perpendicular bisector.

The angle bisectors intersect to form the incenter, which is the center of the incircle (it's the largest possible circle to fit inside the triangle without spilling over).