Question

if four points are collinear, are they also coplanar? explain.

Answer 1

False. They can be in the same plan, but only two of them can be colinear, sometimes 3 or 4.
It's like 4 points on a table, they don't have to be on the same line.

Answer 2

false

Answer 3

but the 4 points ARE collinear,,, so wouldn't they also be coplanar because the line lies in a single plane??

Answer 4

yes they are coplanar. a line is a coplanar cuz you can always draw a plane thru a line in someway

Answer 5

i would have said true

Answer 6

that is what i was thinking! tyvm!!

Answer 7

np.. and two intersecting lines are also always coplanar. we can draw a plane thru intersecting lines as well

Answer 8

if four points are collinear, are they also coplanar?
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Yes. There exists a plane that contains all 4 points. In fact, infinitely many planes could.

Answer 9

Think about the 4 points as being along the spine of a book. Think of the book's spine as a line. Consider the pages of the book as planes. They are all bound by the spine which can be thought of as a common line of intersection. That line contains the 4 collinear points. So, yes, 4 collinear points are always coplanar.