Question

refer to the diagram at the right.
2.) name a point that lies on line l and on line n
3.) name a point that does not lie on l or line n
4.) list six names for line l
5.) list two other ways to name (overline{bd})
6.) list at least two other names for plane m
4.
a. how many planes are in the diagram?
b. is plane n the same as plane abc?
c. name three collinear points:
d. name three non - collinear points:
e. name two intersecting lines and their point of intersection;
6.
a. are points a, b, and d coplanar?
b. name all of the planes in the diagram:
c. what is at the intersection of the three planes?
d. name the intersection of the three planes.
e. name four non - coplanar points;

Explanation:

Step1: Analyze question 2

Find the intersection - point of line \(l\) and line \(n\).

Step2: Analyze question 3

Look for a point not on either line.

Step3: Analyze question 4

List different ways to name a line using its points.

Step4: Analyze question 5

Find alternative names for a line - segment.

Step5: Analyze question 6

Find other names for a plane using its points.

Answer:

1. (Assuming the intersection point of \(l\) and \(n\) is \(Q\)) Point \(Q\)
2. (For example, if there is a point \(P\) not on \(l\) or \(n\)) Point \(P\)
3. Line \(l\) can be named as line \(SR\), line \(RS\), line \(ST\), line \(TS\), line \(RT\), line \(TR\) (assuming \(S\), \(T\), \(R\) are points on line \(l\))
4. (If \(\overline{BD}\) is a line - segment, it can be named as \(\overline{DB}\) and using other points on the line containing \(BD\))
5. (If plane \(M\) has points \(P\), \(Q\), \(R\), \(S\) etc. on it) Plane \(PQR\), Plane \(QRS\)