Based on the image you uploaded, I'll analyze the diagram and the corresponding questions. Here's how to correctly approach questions 4 through 7:

Question 4: Name 3 collinear points on the diagram.

• Answer: Points $A$, $B$, and $E$ are collinear, as they lie on the same line in the diagram. Thus, the correct answer is A, B, E.

Question 5: Name 3 points on the diagram that do not describe a plane.

• Answer: Points $A$, $D$, and $E$ do not describe a plane, as no single plane can pass through these three points based on their positioning. The correct answer is A, D, E.

Question 6: How many pairs of collinear points are there on the diagram?

• Answer: There are three distinct pairs of collinear points based on the diagram:

  1. $A$ and $B$
  2. $B$ and $E$
  3. $A$ and $E$

  Therefore, the correct answer is 3 pairs.

Question 7: What term describes $\overrightarrow{BA}$ and $\overrightarrow{BE}$?

• Answer: The correct term is collinear, as both rays share the same line.

Let me know if you'd like more details!

5 Related Questions:

1. What are the conditions for points to be considered collinear?
2. How do you identify a plane using three points?
3. Why can some sets of points not describe a plane?
4. What is the difference between collinear points and non-collinear points?
5. Can a set of four points ever be collinear? Why or why not?

Tip: In geometry, points are collinear if they lie on the same straight line. However, for three points to describe a plane, they must not be collinear!