Question

were added for this assignment.
graph the image of this triangle after a dilation with a scale factor of 3 centered at the origin
use the polygon tool to graph the triangle.
polygon move undo redo reset

Explanation:

Step1: Identify original vertices

The original triangle has vertices at \((0,0)\), \((3, -1)\), and \((3, 3)\).

Step2: Apply dilation (scale factor 3, center origin)

For a dilation centered at the origin with scale factor \(k\), the new coordinates \((x', y')\) are given by \(x' = kx\) and \(y' = ky\).

• For \((0,0)\): \(x' = 3 \times 0 = 0\), \(y' = 3 \times 0 = 0\) → \((0,0)\).
• For \((3, -1)\): \(x' = 3 \times 3 = 9\), \(y' = 3 \times (-1) = -3\) → \((9, -3)\).
• For \((3, 3)\): \(x' = 3 \times 3 = 9\), \(y' = 3 \times 3 = 9\) → \((9, 9)\).

Step3: Graph the new triangle

Plot the points \((0,0)\), \((9, -3)\), and \((9, 9)\), then connect them with the polygon tool.

Answer:

The dilated triangle has vertices at \((0,0)\), \((9, -3)\), and \((9, 9)\). (Graph these points using the polygon tool.)