Q3 - Geometry

Question

Classify each statement as true or false.

R and S contain D.

Step-by-Step Solution

Answer

The statement R and S contain D is True.

Step 1. Observe the given diagram.

The given diagram depicts the planes R and S. A plane is defined as the two-dimensional surface that could consist of a point, a line, and three-dimensional space.

Step 2. Relation of line AB with planes R and S.

In the given diagram it can be noticed that the given line AB is the line of intersection of the planes R and S.

Therefore, AB is the line that is lying on both the planes R and S.

Step 3. Relation of point D with planes R and S.

It can be observed that D is the point lying on line AB and AB is lying on both planes R and S.

Therefore, D is a point lying on both planes R and S.

Therefore, both R and S contain D.

Hence, the given statement is true.