Question

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 = −5. N′(5, 2), M′(2, 1), O′(3, 3) N′(2, −5), M′(1, −2), O′(3, −3) N′(0, 2), M′(3, 1), O′(2, 3) N′(−5, 2), M′(−8, 1), O′(−7, 3)

Answer 1

To determine the image vertices of triangle NMO when reflected over the line x = 5, we need to find the reflections of each vertex. The reflection of a point (x, [ y) over the line x = 5 can be found by calculating the difference between the x-coordinate of the point and the line of reflection (5), and then subtracting that difference from the line of reflection (5) again. The y-coordinate remains the same. Let's calculate the image vertices: N(5, 2) reflects to N'(5 - (5 - 5), 2) = N'(5, 2) M(2, 1) reflects to M'(5 - (2 - 5), 1) = M'(8, 1) O(3, 3) reflects to O'(5 - (3 - 5), 3) = O'(7, 3) Therefore, the image vertices of triangle NMO after reflecting over x = 5 are N'(5, 2), M'(8, 1), and O'(7, 3). ]