Question

for the following figure, complete the statement for the specified points. points s, t, q, and u are ____. options: coplanar, both collinear and coplanar, collinear, neither collinear nor coplanar

Explanation:

1. First, recall the definitions:

• Collinear points lie on the same straight line.
• Coplanar points lie on the same plane.

1. Analyze points \( S \), \( T \), \( Q \), and \( U \):

• Points \( S \) and \( T \) lie on a line with \( R \), but \( Q \) and \( U \) are on the plane of the quadrilateral (different from the line containing \( S \), \( T \), \( R \)). So, they are not collinear (since all four don't lie on a single line).
• Also, \( S \) and \( T \) are outside the plane of \( Q \) and \( U \) (the quadrilateral's plane), so they are not coplanar either. Thus, the points are neither collinear nor coplanar.

Answer:

neither collinear nor coplanar