Question

The hexagon GIKMPR and ΔFJN are regular. The dashed line segments form 30° angles.

What is the image of ON after a rotation of 180°?

A. ON
B. OH
C. OJ
D. OL

Answer 1

i think it's b because it always is 180 on total degrees

Answer 2

The correct option is B.

Explanation:

It is given that hexagon GIKMPR and ΔFJN are regular. The dashed line segments form 30° angles.

The measure of center angle is 360 degree.

If the graph is rotated 180 degree about O, then number of 30° angles in the rotation is

`(180)/(30)=6`

It means the image of any point is 6th point from that point in clockwise or counterclockwise direction.

We have to find the image of ON after a rotation of 180°. From the figure it is noticed that the 6th point from N is H, therefore the image of ON is OH.

Since 180 degree is an straight line, therefore image and preimage lie on a straight line.