Question

reflect the polygon over the x-axis. graph the image on the coordinate plane using only the polygon tool.

Explanation:

Step1: Identify Original Points

The original polygon has vertices at \((-6, 4)\), \((-2, 4)\), \((-2, 1)\), \((-6, 1)\).

Step2: Apply Reflection Over x - axis

The rule for reflecting a point \((x, y)\) over the \(x\) - axis is \((x, -y)\).

• For \((-6, 4)\), the reflected point is \((-6, - 4)\).
• For \((-2, 4)\), the reflected point is \((-2, - 4)\).
• For \((-2, 1)\), the reflected point is \((-2, - 1)\).
• For \((-6, 1)\), the reflected point is \((-6, - 1)\).

Step3: Graph the Reflected Polygon

Using the Polygon tool, plot the points \((-6, - 4)\), \((-2, - 4)\), \((-2, - 1)\), \((-6, - 1)\) in order and connect them to form the reflected polygon.

Answer:

The reflected polygon has vertices at \((-6, -4)\), \((-2, -4)\), \((-2, -1)\), \((-6, -1)\) (and is graphed by plotting these points with the Polygon tool).