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

Answer:

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

Step-by-step 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

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

Answer 2

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