Question

question 1 points 2
identify the transformation that carries the regular polygon onto itself.
image of a regular hexagon

• rotation of 60° clockwise
• rotation of 72° clockwise
• rotation of 36° clockwise
• none of the above

Explanation:

Step1: Determine the polygon type

The figure is a regular hexagon, which has \( n = 6 \) sides.

Step2: Calculate rotation angle

For a regular \( n \)-sided polygon, the smallest angle of rotation that maps it onto itself is \( \frac{360^\circ}{n} \). For \( n = 6 \), this angle is \( \frac{360^\circ}{6}=60^\circ \). So a rotation of \( 60^\circ \) clockwise will carry the regular hexagon onto itself.

Answer:

A. Rotation of \( 60^\circ \) clockwise