Question

Square GHIJ shares a common center with regular hexagon ABCDEF on a coordinate plane. AB is parallel to GH. If the combined figure rotates clockwise about its center, at which angle of rotation will the image coincide with the preimage? A. 60 degrees B. 180 degrees C. 90 drerees D. 240 degrees

Answer 1

Answer:  B. 180°.

Step-by-step explanation: In the attached figure, GHIJ is a square and ABCDEF is a regular hexagon having common centre O.

A square is symmetric at a rotational angle of 90°  and a regular hexagon is symmetric at a rotational angle of 60°.

So, to bring the image of the square and the hexagon back to the previous position, we need to find the LCM of both the angles.

LCM(60°,90°)=180°.

So, the correct option is B. 180°.

Answer 2

So the problem ask on which of the following among the choices is the angle of rotation will the image coincide with the pre image if the square GHIJ shares a common center with regular hexagon ABCDEF on a coordinate place and the best angle of rotation would be letter B. 180 degrees