Triangle ABC is shown on the graph. What are the coordinates of the image of point B after the triangle is rotated 270° about the origin?

Question

a. (4, 2)
b.(2, 4)
c.(–4, –2)
d.(–2, –4)

 

Answer 1

Greetings! Lets solve this shall we ?

In order to solve and obtain the image of point B, we must utilize the rotation of 270 degrees about the origin such that given a point (x, y), the reflection gives an output of (-y, x) (270 degrees clockwise) and (y,-x) (270 degrees counterclockwise).

We have point B to be (2,4). Then the clockwise and counterclockwise rotations of 270 degrees gives us

(2,4) -> (-4,2) (Clockwise 270 degrees)

(2,4) -> (4,-2)(CounterClockwise 270 degrees)

I hope this helped!