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3. use the diagram to the right to name the following. a) three coplana…

Question

  1. use the diagram to the right to name the following.

a) three coplanar points. ______
b) a plane containing point x. ______
c) the intersection of plane r and plane zvy. ______
d) how many planes appear in the figure? ______
e) how many planes contain point w? ______

Explanation:

Response
Part (a)

Step1: Recall coplanar points

Coplanar points lie on the same plane. From the diagram, points \( V \), \( W \), \( X \) (or \( V \), \( W \), \( Y \), or other combinations on plane \( R \)) are coplanar. Let's take \( V \), \( W \), \( X \).

Step1: Identify plane with \( X \)

Point \( X \) is on plane \( R \) (the base plane) or other planes containing \( X \). Plane \( R \) contains \( X \), \( V \), \( W \), \( Y \) etc.

Step1: Find intersection of planes

The intersection of two planes is a line. Plane \( R \) and plane \( ZVY \) intersect along the line containing points \( V \) and \( Y \) (or the line \( VY \)).

Answer:

\( V \), \( W \), \( X \) (other valid combinations like \( V \), \( W \), \( Y \) are also correct)

Part (b)