Question

1. name the intersection of plane bpq and plane cpq.

the planes do not intersect.

$overline{pq}$

$overline{cq}$

$overline{bp}$

Explanation:

Step1: Recall the postulate about plane intersection

The postulate states that if two planes intersect, their intersection is a line. Also, a line is determined by two points that are common to both planes.

Step2: Identify common points in the planes

Plane \( BPQ \) contains points \( B \), \( P \), \( Q \). Plane \( CPQ \) contains points \( C \), \( P \), \( Q \). The common points between the two planes are \( P \) and \( Q \).

Step3: Determine the intersection line

The line passing through points \( P \) and \( Q \) is \( \overline{PQ} \), so the intersection of plane \( BPQ \) and plane \( CPQ \) is the line \( \overline{PQ} \).

Answer:

\( \overline{PQ} \) (the option corresponding to \( \overline{PQ} \))