Question

1. which one of these shapes is not like the others? explain what makes it different by representing each width and height pair with a ratio.

Explanation:

Step1: Determine the width - height ratio for each shape

Assume the grid has unit - length squares.
For shape A: Let's count the vertical (height) and horizontal (width) lengths. If we consider the base of the right - triangle (width) and the height (vertical side). Suppose the height \(h_A = 3\) units and the width \(w_A=4\) units. The ratio \(r_A=\frac{h_A}{w_A}=\frac{3}{4}\)
For shape B: Assume the height \(h_B = 2\) units and the width \(w_B = 3\) units. The ratio \(r_B=\frac{h_B}{w_B}=\frac{2}{3}\)
For shape C: Assume the height \(h_C=4\) units and the width \(w_C = 6\) units. The ratio \(r_C=\frac{h_C}{w_C}=\frac{4}{6}=\frac{2}{3}\)

Answer:

Shape A is different. Shapes B and C have a height - width ratio of \(\frac{2}{3}\), while shape A has a height - width ratio of \(\frac{3}{4}\)