Q13 - Geometry

Question

A plane can be named by three or more non-collinear points it contains. In chapter 12 you will study pyramids like the one shown at the right below.

Name five planes that contain sides of the pyramid shown.

Step-by-Step Solution

Answer

The five planes that contain the sides of the pyramid shown are RSTW, STV, TVW, RSV, and RVW.

Step 1. Observe the given diagram.

The given diagram is of a pyramid which is made up of five planes.

Step 2. Definition of the non collinear points.

The non-collinear points are the points that do not lie on the same line.

Step 3. Name the five planes.

The first plane is passing through the non-collinear points R, S, T, and W. Therefore, the name of the first plane is RSTW.

The second plane is passing through the non-collinear points V, S, and T. Therefore, the name of the second plane is STV.

The third plane is passing through the non-collinear points T, V, and W. Therefore, the name of the third plane is TVW.

The fourth plane is passing through the non-collinear points R, S, and V. Therefore, the name of the fourth plane is  RSV.

The fifth plane is passing through the non-collinear points R, V, and W. Therefore, the name of the fifth plane is RVW.