Question

a picture is enlarged to poster size using a scale factor of 2. the dimensions of the picture are 6 inches by 7 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

The original dimensions are 6 in (width) and 7 in (height). Scale factor is 2, so new width: \( 6 \times 2 = 12 \) in, new height: \( 7 \times 2 = 14 \) in.

Step2: Plot vertices

Start at (0,0). Next vertex (width, 0): (12, 0). Then (width, height): (12, 14). Then (0, height): (0, 14). Finally back to (0,0) to close the rectangle.

Answer:

The scaled rectangle has vertices at (0,0), (12,0), (12,14), (0,14), and back to (0,0). When plotted on the grid, these points form the enlarged poster (a blue rectangle with width 12 inches and height 14 inches).