Question

which pair of hexagons have equivalent areas shaded? choose 1 answer:

Explanation:

Step1: Analyze option A

The first hexagon in option A has 2 shaded triangles out of 6, so the fraction of the shaded area is $\frac{2}{6}=\frac{1}{3}$. The second hexagon has 3 shaded triangles out of 6, so the fraction of the shaded area is $\frac{3}{6}=\frac{1}{2}$. They are not equal.

Step2: Analyze option B

The first hexagon in option B has 3 shaded triangles out of 6, so the fraction of the shaded area is $\frac{3}{6}=\frac{1}{2}$. The second hexagon also has 3 shaded triangles out of 6, so the fraction of the shaded area is $\frac{3}{6}=\frac{1}{2}$. They are equal.

Step3: Analyze option C

The first hexagon in option C has 4 shaded triangles out of 6, so the fraction of the shaded area is $\frac{4}{6}=\frac{2}{3}$. The second hexagon has 3 shaded triangles out of 6, so the fraction of the shaded area is $\frac{3}{6}=\frac{1}{2}$. They are not equal.

Answer:

B. The pair of hexagons in option B have equivalent areas shaded.