Question

Draw two segments. How many common points is it possible for the segments to have? Explore all possibilities.

(No links please! Don’t forget to explain and show some sort of work, thanks!)

Answer 1

A segment is bounded by two endpoints.

The two segments can have up to two common points

Assume the line segments are AB and CD where the length of AB is greater than the length of CD.

The possibilities are:

• A point of segment CD lies on segment AB
• Both points of segment CD lie on segment AB.

See attachment for both possibilities.

Hence, it is possible for the two segments to have two common points.

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