Question

In the figure below, the hexagon is regular.EDACBОАIf point F is rotated 60 degrees clockwise, what point does it map onto?OB• СODOE1MacBook ARTwES

Answer 1

From the figure we have a hexagon(six-sided polygon).

Let's find where point F will map onto after a rotation of 60 degrees clockwise.

To find the point, let's find each exterior angle of the hexagon.

Apply the formula:

exterior angle = 180 - interior angle

To find the interior angle, we have:

`\text{Interior angle = }((n-2)180)/(n)`

Where n = 6

Thus, we have:

`\text{Interior angle = }((6-2)180)/(6)=((4)180)/(6)=(720)/(6)=120\text{ degr}ees`

For the exterior angle, we have:

Exterior angle = 180 - interior angle

Exterior angle = 180 - 120 = 60 degrees

Since each exterior angle of the given polygon is 60 degrees, after point F is rotated 60 degrees clockwise, the point it will map onto will be the next point to the right.

Therefore, after a rotation 60 degrees clockwise, point F maps onto point E.

ANSWER:

E