Question

a picture is enlarged to poster size using a scale factor of 3. the dimensions of the picture are 4 inches by 6 inches. create a scale drawing of the poster on the grid. starting at (0, 0), plot each vertex and end back at (0, 0). the completed rectangle will be blue.

Explanation:

Step1: Find scaled dimensions

Original dimensions: 4 in (width) and 6 in (height). Scale factor = 3.
Scaled width: \( 4 \times 3 = 12 \) inches.
Scaled height: \( 6 \times 3 = 18 \) inches.

Step2: Plot vertices

Start at \((0,0)\).

• Move right to \((12,0)\) (end of width).
• Move up to \((12,18)\) (end of height).
• Move left to \((0,18)\).
• Move down to \((0,0)\) to close the rectangle.

Answer:

The poster’s rectangle has vertices at \((0,0)\), \((12,0)\), \((12,18)\), \((0,18)\), and back to \((0,0)\) when plotted on the grid.