Question

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Which of the following steps is needed to circumscribe a circle about a triangle?

a) Construct ONE perpendicular bisector of the triangle

b) Construct ONE angle bisector of the triangle

c) Construct TWO perpendicular bisectors of the triangle

d) b) Construct TWO angle bisectors of the triangle

Answer 1

Answer: C

Step-by-step explanation: Consider a triangle with points A, B and C. You must create a perpendicular bisector of AB and then a perpendicular bisector of BC that crosses each other. Then you must label the center of that point D, and then using a compass tool, create a circle around the triangle.

Answer 2

Answer:

c) Construct TWO perpendicular bisectors of the triangle

Step-by-step explanation:

To circumscribe a circle about a triangle

• Construct the perpendicular bisectors of 2 sides of the triangle.
• The point at which the bisectors cross is the center of the circumscribed circle.
• Place the point of a compass on the center point.  Adjust its length so that it reaches any vertex of the triangle, then draw the circumscribed circle.