Question

Triangle LMN has vertices at L(−1, 5), M(−1, 0), N(−2, 5). Determine the vertices of image L′M′N′ if the preimage is rotated 90° counterclockwise about the origin. L′(5, 1), M′(0, 1), N′(5, 2) L′(−1, −5), M′(−1, 0), N′(−2, −5) L′(−5, −1), M′(0, −1), N′(−5, −2). L′(1, −5), M′(1, 0), N′(2, −5)

Answer 1

Recall that a rotation of 90 degrees counterclockwise about the origin transforms the point (x,y) as follows:

`(x,y)\to(-y,x).`

Therefore, the image of the given vertices are:

`\begin{gathered} L^(\prime)=(-5,-1), \\ M^(\prime)=(-0,-1)=(0,-1), \\ N^(\prime)=(-5,-2). \end{gathered}`

Answer: Third option.