Question

in exercises 7 and 8, sketch a diagram of the description.

1. $overline{ab}$, $overline{cd}$, and $overline{bd}$ that intersect at exactly two points
2. planes $s$ and $t$ intersecting at a right - angle, $overline{ab}$ on plane $s$ and plane $t$, and point $c$ is the midpoint of $overline{ab}$

Explanation:

Step1: Sketch for Exercise 7

Draw three line - segments $\overline{AB}$, $\overline{CD}$, $\overline{BD}$. Arrange them such that two of the line - segments share one intersection point and another pair of line - segments share a different intersection point. For example, let $\overline{AB}$ and $\overline{BD}$ intersect at point $B$, and $\overline{CD}$ intersect $\overline{AB}$ at a non - $B$ point.

Step2: Sketch for Exercise 8

Draw two planes $S$ and $T$ intersecting at a right - angle (you can represent planes as rectangles and show the right - angle symbol at the intersection). Draw a line - segment $\overline{AB}$ that lies on both planes $S$ and $T$ (it should be on the intersection line of the two planes). Mark the mid - point $C$ of $\overline{AB}$.

Answer:

For Exercise 7: A diagram with three line - segments intersecting at two points.
For Exercise 8: A diagram with two perpendicular planes, a line on their intersection, and the mid - point of the line marked.