Answer:
Option D - rotate 120° clockwise about (-7, 3.5) and reflect across the line x=-7
Step-by-step explanation:
To identify : The transformation that maps the regular hexagon with a center (-7, 3.5) onto itself
Solution :
A regular hexagon which has 6 axes of symmetry.
So, the angle of rotational symmetry is given by 360 divides by number of sides.
[tex]\frac{360}{60}=60^\circ[/tex] is the angle of rotational symmetry.
Since 90° is not a multiple of 60°, we will eliminate choices A and B.
120° is a multiple of 60°
So, it rotate clockwise 120°
Reflection across the line :
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.
Which implies that the reflection across the line is x=-7
Therefore, Option D is correct that the transformation of a regular hexagon is
rotate 120° clockwise about (-7, 3.5) and reflect across the line x=-7
