Answer
The space curve in Figure 8 (A) matches its projection in Figure 9 (ii).
The space curve in Figure 8 (B) matches its projection in Figure 9 (i).
The space curve in Figure 8 (C) matches its projection in Figure 9 (iii).
Work Step by Step
1. Figure 8 (A)
The line is parallel to the $yz$-plane, thus, the projection onto the $xy$-plane is Figure 9 (ii).
2. Figure 8 (B)
The space curve is a helix moving above a circle in the $yz$-plane, while its height is $x=t$. Thus, the projection on the $xy$-plane is a wave. Thus, the projection onto the $xy$-plane is Figure 9 (i).
3. Figure 8 (C)
Examining the curve, we conclude that the projection onto the $xy$-plane is Figure 9 (iii).
