Jack is constructing the circumscribed circle of ΔABC with just a compass and a straightedge. Which step should he take next in completing the construction?

A(Construct the perpendicular bisectors of AB¯¯¯¯¯ and AC¯¯¯¯¯ by drawing a line through E and F and another through G and H.

B)Construct the perpendicular bisector of BC¯¯¯¯¯ in the same way as those of AB¯¯¯¯¯ and AC¯¯¯¯¯.

C)Mark the point of intersection of the angle bisectors of ∠A and ∠C.

D)Draw three lines that pass through AB¯¯¯¯¯, BC¯¯¯¯¯, and AC¯¯¯¯¯, and label the point of intersection.

The option (A) to construct the perpendicular bisectors of AB¯¯¯¯¯ and AC¯¯¯¯¯ by drawing a line through E and F and another through G and H is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have:

Jack is constructing the circumscribed circle of ΔABC with just a compass and a straightedge.

As we know, in order to complete the construction of the circumscribed circle of ΔABC the step should be followed to draw a line across E and F and another through G and H to make the perpendicular bisectors of AB and AC.

Thus, the option (A) to construct the perpendicular bisectors of AB¯¯¯¯¯ and AC¯¯¯¯¯ by drawing a line through E and F and another through G and H is correct.

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