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Chapter 1: Q24. (page 8)

a. Are points A, Dand Ccollinear?

b. Are points A, Dand Ccoplanar?

Short Answer

Expert verified
  1. The points A,D andC are not collinear.
  2. The points A,D andC are 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 collinear points.

The collinear points are the points that lie on the same line.

03

Part a. Step 3. Determine whether the points A, D and C are collinear on basis of the definition of collinear points.

From the diagram, it can be noticed that:

The points A,D andC are not collinear points as the points A,D andC do not lie on the same line.

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 A, D and C are coplanar on basis of the definition of coplanar points.

From the diagram, it can be noticed that:

The points A,D andC are coplanar points as the points A,D andC lie on the same plane ABCD.

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