15
QuizMultiple Choice

Interactive: Circle Constructions — Unit test

Question 15 • Reading HS- Integrated Math I

Which of the following is a step used in the construction of an equilateral triangle inscribed in a circle?

Answer
A
Connect all six points on the circle.
B
Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.
C
Construct two diameters using the points where the arc intersects the circle and the center.
D
Connect the endpoints of the two diameters.

Explanation

Draw an arc centered at an endpoint of a diameter using the circle’s radius. Where that arc intersects the circle, each intersection is one radius-length from the diameter’s endpoint, and the two intersection points are also one radius-length apart. Connecting those two points to the diameter endpoint forms an equilateral triangle, so the correct choice is “Draw two line segments connecting the points where the arc intersects the circle and an endpoint of the diameter.”

AI-written and checked against the verified answer.

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