Question

do this problem to find out.

b. the figure at the right is reflected over the x - axis. find the coordinates of point ( a ) and point ( b ). then sketch the image on the coordinate plane.

Explanation:

Step1: Recall the reflection rule over the x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).

Step2: Find the coordinates of point \(A\) and \(B\)

Assume the coordinates of point \(A\) are \((-4,2)\) and the coordinates of point \(B\) are \((4,2)\) (by counting the grid squares).

Step3: Apply the reflection rule

For point \(A(-4,2)\), using the rule \((x,y)\to(x, - y)\), we get \(A'(-4,-2)\).
For point \(B(4,2)\), using the rule \((x,y)\to(x, - y)\), we get \(B'(4,-2)\).

Answer:

The coordinates of \(A'\) are \((-4,-2)\) and the coordinates of \(B'\) are \((4,-2)\).