Question

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

Answer 1

Answer:

Option (2)

Step-by-step 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 = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

By this formula length of NP = $\sqrt{(7-5)^2+(9-9)^2}$

                                               = 2 units

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