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: Assume grid - unit lengths

Let each grid square have side - length 1. Count the width and height of each triangle.

Step2: Calculate ratios for triangle A

Suppose triangle A has width \(w_A\) and height \(h_A\). If we count the grid - units, assume \(w_A = 3\) and \(h_A=3\), so the ratio of width to height is \(\frac{w_A}{h_A}=\frac{3}{3} = 1\).

Step3: Calculate ratios for triangle B

Suppose triangle B has width \(w_B\) and height \(h_B\). Assume \(w_B = 4\) and \(h_B = 4\), so the ratio of width to height is \(\frac{w_B}{h_B}=\frac{4}{4}=1\).

Step4: Calculate ratios for triangle C

Suppose triangle C has width \(w_C\) and height \(h_C\). Assume \(w_C = 6\) and \(h_C = 4\), so the ratio of width to height is \(\frac{w_C}{h_C}=\frac{6}{4}=\frac{3}{2}\).

Answer:

Triangle C is not like the others. Triangles A and B have a width - to - height ratio of 1, while triangle C has a width - to - height ratio of \(\frac{3}{2}\).