Question

test yourself! practice tool
a statement is given.
if points are collinear, then they are coplanar.
choose the converse statement and the truth value for the converse.
if points are collinear, then they are not coplanar. true
if points are coplanar, then they are not collinear. false
if points are coplanar, then they are collinear. true
if points are not collinear, then they are coplanar. true
if points are coplanar, then they are collinear. false

Explanation:

The converse of a conditional statement "If p, then q" is "If q, then p". Here, the original statement is "If points are collinear, then they are coplanar" (where p = points are collinear and q = points are coplanar). So the converse is "If points are coplanar, then they are collinear". Coplanar points are points that lie in the same plane, and not all coplanar points are collinear (lying on the same line). So the truth - value of the converse is false.

Answer:

If points are coplanar, then they are collinear. False