Question

If the figure is rotated 270° counterclockwise about the origin, what is the length of segment N′P′?

1 unit
2 unit
3 unit
4 unit

Answer 1

Option (2)

Explanation:

Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.

NP = N'P'

Coordinates of N → (5, 9)

Coordinates of P → (7, 9)

Formula of distance between two points
`(x_1,y_1)` and
`(x_2,y_2)` is,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

By this formula length of NP =
`√((7-5)^2+(9-9)^2)`

= 2 units

Therefore, Option (2) will be the correct option.