Determine whether the conjecture is true or false. Give a counterexample for any false conjecture. Given: points A, B, C, and D

Conjecture: A, B, C, and D are coplanar.

Question 16 options:

False; the four points do not have to be in a straight line.

True

False; two points are always coplanar but four are not.

False; three points are always coplanar but four are not.

False; three points are always coplanar but four are not.

Step-by-step explanation:

We are given points A, B, C and D. We say that a set of points are coplanar if there exists a plane that coints all the points. Consider A,B, C ,D points in a 3 dimensional space. It is true, by euclidean geometry, that given any 3 points in a 3 dimensional space, they are coplanar.

However, this is not true for 4 points.

Consider the points A=(1,0,0), B=(0,1,0), C=(0,-1,0) and D=(0,0,1). In this case, A,B and C are in the plane (x,y,0) and D is not coplanar to points A,B,C

2, 2, 2 or -4, 20, 29

step-by-step explanation:

there is two ways you can do it.

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.