Question

10 find the coordinates of the image of j (8, 7) after a reflection over the x-axis. a (8, −7) b (8,6) c (−8, 7) d (−8, −7)

Explanation:

Step1: Recall reflection over x - axis rule

The rule for reflecting a point \((x,y)\) over the \(x\) - axis is that the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. So, if we have a point \((x,y)\), after reflection over the \(x\) - axis, the image is \((x, - y)\).

Step2: Apply the rule to point \(J(8,7)\)

For the point \(J(8,7)\), where \(x = 8\) and \(y=7\). Using the reflection rule over the \(x\) - axis, the \(x\) - coordinate of the image will be the same as the \(x\) - coordinate of \(J\), which is \(8\). The \(y\) - coordinate of the image will be \(-y=-7\). So the coordinates of the image of \(J(8,7)\) after reflection over the \(x\) - axis are \((8,-7)\).

Answer:

A. \((8, - 7)\)