Question

Which regular polygon would carry onto itself after a rotation of 300°?

a) Hexagon
b) Pentagon
c) Octagon
d) Equilateral triangle

Answer 1

A regular hexagon will carry onto itself after a rotation of 300° because 300° is a multiple of 60°, which is the angle of rotation for a hexagon to coincide with its original position.

Step-by-step explanation:

The question asks which regular polygon would carry onto itself after a rotation of 300°. The key to solving this problem is knowing that a regular polygon will carry onto itself after a rotation that is a factor of 360° divided by the number of sides the polygon has. A hexagon, for example, has 6 sides, so any rotation by a multiple of 60° (360°/6) would result in the hexagon mapping onto itself.

In the case of a rotation of 300°, we are looking for a shape that, when rotated by this angle, will coincide with its original position. A rotation of 300° is equal to “five times 60°”, which fits perfectly as a multiple for a hexagon. Thus, the correct answer is a) Hexagon.