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9. a. explain why plane jkl is not an appropriate name for the plane be…

Question

  1. a. explain why plane jkl is not an appropriate name for the plane below. b. give three names for the plane that would be appropriate.

Explanation:

Brief Explanations

a. A plane is named by three non - collinear points. Points J, K, and L are collinear, so naming the plane JKL is inappropriate as it does not uniquely identify the plane.
b. Three appropriate names could be based on three non - collinear points in the plane. For example, if we consider points J, K, and M (assuming M is not on the line JKL), we can name the plane JKM. Other names could be JML, KML as long as the three points are non - collinear in the plane.

Answer:

a. Points J, K, L are collinear, not enough to name a plane.
b. JKM, JML, KML