Question

If you reflect FGH across the x-axis, what will be the coordinates of the vertices of the image F’G'H'?

Answer 1

F ' = (-2, 1)

G ' = (2, -2)

H ' = (4, 3)

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Step-by-step explanation:

The rule
`(\text{x},\text{y})\to (\text{x},-\text{y})` reflects any point over the x axis.

We keep the x coordinate the same. The y coordinate flips from positive to negative, or vice versa.

For example, let's use that rule on point F.

`(\text{x},\text{y})\to (\text{x},-\text{y})\\\\(-2,-1)\to (-2,-(-1))\\\\(-2,-1)\to (-2,1)\\\\`

Therefore, point F ' is located at (-2,1).

Follow that same logic for points G and H.

Let me know if you need to see the steps for the other points.