Question

50 POINTS ASAP Triangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −2.

N′(5, −2), M′(2, 1), O′(3, 3)
N′(−2, 2), M′(1, 1), O′(0, 3)
N′(1, 2), M′(−2, 1), O′(−1, 3)
N′(−5, −2), M′(−2, −1), O′(−3, −3)

Answer 1

To reflect a point over a vertical line x = c, where c is a constant, we can use the formula (2c - x, y).

Given the line of reflection x = -2, and the original points N(-5, 2), M(-2, 1), O(-3, 3), we can apply the formula as follows:

For N(-5, 2):

N' = (2(-2) - (-5), 2) = (1, 2)

For M(-2, 1):

M' = (2(-2) - (-2), 1) = (2, 1)

For O(-3, 3):

O' = (2(-2) - (-3), 3) = (1, 3)

So, the correct image vertices of N'M'O' after reflecting over x = -2 are N'(1, 2), M'(2, 1), O'(1, 3), which corresponds to the option:

N′(1, 2), M′(2, 1), O′(1, 3)

Please double-check to make sure if its right ;D