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If JK←→ and LM←→− are different names for the same line, what must be true about points J, K, L, and M ?

User Tomen
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7.0k points

1 Answer

5 votes

Explanation:

We know that this particularly line can be named as :

  • JK ←→
  • LM ←→

This give us the following information :

  • The line passes through the points J and K
  • The line passes through the points L and M

One statement we can make is :

The points J , K , L and M are aligned. So the line passes through the points J , K , L and M.

We also know that given a line there are infinite planes that contain the line.

Given that the points J , K , L and M belong to the same line, we can state that :

There are infinite planes that contain the points J , K , L and M.

User Adrian Pacala
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7.4k points