To construct an equilateral triangle inscribed in a circle, Jason first inscribed a regular polygon in the circle. Then he began at one vertex of the polygon and drew line segments connecting every other vertex. Which shape did Jason first inscribe in the circle?

Accepted Solution

Answer:The shape that Jason first inscribe in the circle is:Hexagon.Step-by-step explanation:Steps for the construction of an equilateral triangle inscribed in a circle--Draw a circle on a piece of paper.Now take the same span on the compass as the radius and take a point on a circle to draw an arc on the circumference.Next we keep the point of the compass on that arc where it intersected the circumference of the circle and draw on more arc and we keep on doing so till we reach the starting point.Now when we join each of these points to every other vertex we see that we obtain a Hexagon.Now on joining the alternate vertex of these hexagon we obtain an equilateral triangle.