290,346 views
38 votes
38 votes
Here are 2 points in the plane.

Using only a straightedge,can you find points in the plane that are the same distance from points A and B. Explain your reasoning

User Marc Novakowski
by
2.3k points

1 Answer

29 votes
29 votes

9514 1404 393

Answer:

no

Explanation:

Using only a straightedge, you cannot measure distance, so cannot ensure that any two distances are the same.

__

The points of interest are on the perpendicular bisector of AB, which can be constructed using a compass and straightedge. The straightedge alone is insufficient.

User Snorfalorpagus
by
3.4k points