Q16 - 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 two planes that intersect in $\overleftrightarrow{ST}$.

Step-by-Step Solution

Answer

The two planes that intersect $\overleftrightarrow{ST}$ are RSTW and STV.

Step 1. Observe the given diagram.

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

Step 2. Observe the figure shown below.

The planes that intersect $\overleftrightarrow{ST}$ are highlighted in the below diagram.

Step 3. Name the planes that intersect in S T ↔ .

From the above figure, it can be noticed that:

The planes RSTW and STV  are intersecting on the line $\overleftrightarrow{ST}$.