Q26. - Geometry

Question

a. Name two planes that do not intersect.

b. Name two other planes that do not intersect. 

Step-by-Step Solution

Answer

1. The planes that do not intersect are $ABFRE$ and $DCGSH$.
2. The other two planes that do not intersect are $ADHE$ and $BCGF$.

Part a. Step 1. Observe the diagram.

The given diagram is:

Part a. Step 2. Observe the figure shown below.

Highlight the planes $ABFRE$ and $DCGSH$.

Part a. Step 3. Name the two planes that do not intersect.

From the above diagram, it can be noticed that:

The planes that do not intersect are $ABFRE$ and $DCGSH$ because these two planes are parallel, so they will never intersect.

Part b. Step 1. Observe the diagram.

The given diagram is

Part b. Step 2. Observe the figure shown below.

Highlight the planes $ADHE$ and $BCGF$.

Part b. Step 3. Name the other two planes that do not intersect.

From the diagram, it can be noticed that:

The other two planes that do not intersect are $ADHE$ and $BCGF$, because these two planes are parallel and they will never intersect.