Question

The vertices of a triangle are A(-6,-4), B(-3,5) and C (1,-1) . Name the vertices of the image reflected across the x axis ?

Answer 1

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Answer 2

`A'(-6,4)\\B'(-3,-5)\\ C'(1,1)`

Explanation:

The given vertices are

`A(-6,-4)\\B(-3,5)\\C(1,-1)`

Now, when we reflect a figure across the x-axis, the coordinates of that figure change. In this case, all vertical coordinates (y-variable) must change to its opposite in order to ensure the reflection across the x-axis.

`A(-6,-4) \implies A'(-6,4)\\B(-3,5) \implies B'(-3,-5)\\C(1,-1) \implies C'(1,1)`

Therefore, the vertices of the reflected image are

`A'(-6,4)\\B'(-3,-5)\\ C'(1,1)`