Question

test prep rotate the parallelogram 90° counterclockwise about the origin. use the polygon tool to graph the rotated the figure.

Explanation:

Step1: Identify original vertices

First, find the coordinates of the parallelogram's vertices. From the graph, the vertices are \((1, 5)\), \((1, 2)\), \((3, 0)\), and \((3, 3)\).

Step2: Apply 90° counterclockwise rotation rule

The rule for rotating a point \((x, y)\) 90° counterclockwise about the origin is \((x, y) \to (-y, x)\).

• For \((1, 5)\): \((-5, 1)\)
• For \((1, 2)\): \((-2, 1)\)
• For \((3, 0)\): \((0, 3)\)
• For \((3, 3)\): \((-3, 3)\)

Step3: Plot the rotated points

Using the Polygon Tool, plot the points \((-5, 1)\), \((-2, 1)\), \((0, 3)\), and \((-3, 3)\) and connect them to form the rotated parallelogram.

Answer:

The rotated parallelogram has vertices at \((-5, 1)\), \((-2, 1)\), \((0, 3)\), and \((-3, 3)\) (plotted using the Polygon Tool as per the rotation rule).