Question

use the diagram to the right to answer questions 5 - 8. 5. how many planes are shown in the figure? 6. give another name for plane w. 7. name the intersection of plane ade and plane w. 8. name a point non - collinear to points a and b.

Explanation:

Step1: Identify planes in the figure

The flat surfaces are planes. The base is plane \(W\) and there are 4 triangular - shaped side - planes. So in total, there are 5 planes.

Step2: Rename plane \(W\)

A plane can be named by three non - collinear points on it. So another name for plane \(W\) could be plane \(ABC\) (since \(A\), \(B\), and \(C\) are non - collinear points on plane \(W\)).

Step3: Find the intersection of two planes

The intersection of plane \(ADE\) and plane \(W\) is the line segment \(AD\) as it is the common part of the two planes.

Step4: Find a non - collinear point

Points \(A\) and \(B\) lie on the same line on plane \(W\). Point \(D\) is non - collinear to \(A\) and \(B\).

Answer:

1. 5
2. plane \(ABC\)
3. line segment \(AD\)
4. point \(D\)