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Chapter 1: Q25. (page 8)

a. Are points R, S,G andF coplanar?

b. Are points R, S,G andC coplanar?

Short Answer

Expert verified
  1. The points R, S,G andF are coplanar.
  2. The points R, S,G andC are not coplanar.

Step by step solution

01

Part a. Step 1. Observe the diagram.

The given diagram is:

02

Part a. Step 2. Definition of the coplanar points.

The coplanar points are the points that lie on the same plane.

03

Part a. Step 3. Determine whether the points R, S, G and F are coplanar on basis of the definition of collinear points.

From the diagram, it can be noticed that:

The points R, S,G andF are coplanar points as the points R, S,G andF lie on the same plane RSGF.

04

Part b. Step 1. Observe the diagram.

The given diagram is:

05

Part b. Step 2. Definition of the coplanar points.

The coplanar points are the points that lie on the same plane.

06

Part b. Step 3. Determine whether the points R, S, G and C are coplanar on basis of the definition of coplanar points.

From the diagram, it can be noticed that:

The points R, S,Gand role="math" localid="1648759050687" C are not coplanar points because the points R, S,G andC do not lie on the same plane.

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