Question

A' is the image of A in a regular pentagon What is the angle of a clockwise rotation, in degrees, about the origin, that

transforms A to A
1
х
-1
0
-3
-2
2
3
1
-2
A
360
B
216
С
144
D
72

Answer 1

Option (C)

Explanation:

From the figure attached,

If we join the center of pentagon based at origin to the vertices,

Angle formed at the center of a regular polygon =
`(360)/(n)`

Where 'n' = number of sides of the polygon

Measure of angle 'a' =
`(360)/(5)`

= 72°

If point A overlaps the point A',

Angle of rotation required = 2(a)°

= 2×72°

= 144°

Therefore, point A should be rotated by 144° to overlap A'.

Option (C) will be the answer.