Q8WE. - Geometry

Question

In Exercises 5-11 you will have to visualize certain lines and planes not shown in the diagram of the box. When you name a plane, name it by using four points, no three of which are collinear.

Name the intersection of plane $\mathbf{DCFE}$ and plane $\mathbf{ABCD}$.

Step-by-Step Solution

Answer

The intersection of plane $DCFE$ and plane $ABCD$ is a line $\mathbf{CD}$.

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Observe the figure shown.

Highlight the planes $DCFE$ and $ABCD$.

Step 3. Name the intersection of the planes DCFE and ABCD.

From the above figure, it can be noticed that the planes $DCFE$ and $ABCD$ are intersecting on line $CD$.

Therefore, the intersection of the planes $DCFE$ and $ABCD$ is line $CD$.