Question

Part A: An angle is two collinear rays with a common endpoint. Find an example that contradicts this definition. How would you change the definition to make it more accurate? (5 points) Part B: Give an example of an undefined term and how it pertains to angles. (5 points)

Answer 1

Angles are formed by intersection of non-collinear lines, rays and planes.

Part A

1. Contradictory Example

A contradictory example to the given definition is that:

When the rays are collinear; the rays do not form an angle, but they form a line

2. A more accurate definition

A more accurate definition is that:

An angle is formed at the intersection of two non-collinear rays that have the same endpoint

Part B

Example of an undefined term

Undefined terms do not have a formal definition; an example is the plane.

A plane pertains to angles because it determines the parameter to be measured.

Read more about angles and undefined terms at:

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