Question

Triangle NMO has vertices at N(−5, 2), M(−2, 1), and O(−3 , 3). Determine the vertices of image N′M′O′ if the preimage is reflected over y = −2.

N′(−3, 2), M′(0, 1), O′(−5, 3)
N′(−5, 0), M′(−2, −1), O′(−3, 1)
N′(−5, 1), M′(−2, 0), O′(−3, 2)
N′(−5, −6), M′(−2, −5), O′(−3, −7)

Answer 1

Answer: Choice D

• N ' (-5, -6)
• M ' (-2, -5)
• O ' (-3, -7)

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Step-by-step explanation:

Focus on point N.

It's located at (-5,2).

Ask yourself: How many spaces must I move to go from point N to the horizontal mirror line y = -2? The answer is "move down 4 units".

Move down another 4 units to complete the reflection transformation. That means we go from N(-5,2) to N ' (-5, -6). Note how we moved a total of 2*4 = 8 units down.

See the diagram below.

This idea is applied to the other points as well. If they're above the mirror line, then you go down. If they're below the mirror, then go up. Points on the mirror line won't move.

Since we've arrived at N ' (-5, -6), this means the answer is choice D as this is the only answer choice involving N ' (-5, -6).