Question

Dylan constructed this figure using a compass with its width set equal to AX, the radius of the circle.He claims that the measures of the three sides of triangle ABX are all equal to AX, making ΔABX equilateral. Since this makes central angle AXB measure 60°, = 60°. Dylan also claims that by repeatedly applying the same argument, he can prove that the inscribed hexagon is regular.Which statement is true?A. Dylan's reasoning about arc AB is correct, and the hexagon is regular.B. Dylan's reasoning about arc AB is correct, but the hexagon is not regular.C. Dylan's reasoning about arc AB is incorrect, but the hexagon is regular.D. Dylan's reasoning about arc AB is incorrect, and the hexagon is not regular.E. Dylan's reasoning about arc AB is correct, but it is not enough information to prove whether the hexagon is regular.

Answer 1

Answer: Dylan's reasoning about arc AB is correct, and the hexagon is regular.

Step-by-step explanation:ANSWER ON EDMENTUM/PLUTO

Answer 2

Since the triangle formed is equilateral, that makes the hexagon with 6 equal sides.

It also makes each triangle using one of the sides equal to AX.

There are 6 triangles making up the hexagon.

Therefore, both statements she makes are true.

Answer: A.

Dylan's reasoning about arc AB is correct, and the hexagon is regular.