Question

graph the image of \\( \triangle qrs \\) after a reflection over the \\( x \\)-axis.

Explanation:

Step1: Find coordinates of original points

Assume \( Q(0, - 4)\), \(R(0, - 3)\), \(S(10, - 2)\)

Step2: Apply reflection rule over \(x\) - axis

The rule for reflection over the \(x\) - axis is \((x,y)\to(x, - y)\)
For \(Q(0, - 4)\): \((0, - 4)\to Q'(0,4)\)
For \(R(0, - 3)\): \((0, - 3)\to R'(0,3)\)
For \(S(10, - 2)\): \((10, - 2)\to S'(10,2)\)

Step3: Plot the new points

Plot \(Q'(0,4)\), \(R'(0,3)\), \(S'(10,2)\) on the coordinate plane and connect them to form the reflected triangle.

Answer:

Plot the points \(Q'(0,4)\), \(R'(0,3)\), \(S'(10,2)\) and connect them.