Chapter 8.6, Problem 17E

(a)

To determine

To show that: ${\text{q}}_1$ is the midpoint of the segment from ${\text{p}}_0$ and ${\text{p}}_1$.

(b)

To determine

To show that: The point ${\text{8q}}_2={\text{8q}}_3+{\text{p}}_0+{\text{p}}_1-{\text{p}}_2-{\text{p}}_3$.

(c)

To determine

To show that: The point ${\text{q}}_2=\frac{1}{2}\left({\text{q}}_1+\frac{1}{2}\left({\text{p}}_1+{\text{p}}_2\right)\right)$.