Question

isaac says that the shaded part of the figure represents $\frac{1}{2}$ of the whole figure. is isaac correct? yes, because one part is shaded and one part is not shaded. yes, because there are two parts, so the model shows $\frac{1}{2}$. no, because the shaded and unshaded parts do not have equal areas. no, because the shaded and unshaded parts are not the same color.

Explanation:

To determine if the shaded part is \(\frac{1}{2}\) of the whole figure, we check if the shaded and unshaded regions have equal areas. The shaded part is a triangle, and the unshaded part is a parallelogram. A triangle with the same base and height as a parallelogram has half the area of the parallelogram. Here, the unshaded parallelogram has a larger area than the shaded triangle, so their areas are not equal. The first two options are wrong because they assume equal parts without checking area. The last option is wrong as color doesn't affect area fraction. So the correct reasoning is that the areas are unequal.

Answer:

C. No, because the shaded and unshaded parts do not have equal areas.