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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)

Respuesta :

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

[tex](x,y)\to(-y,x).[/tex]

Therefore, the image of the given vertices are:

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

Answer: Third option.

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