Question

planes a and b intersect.
which describes the intersection of planes a and b?
line cd
line ed
point c
point d

Explanation:

Identify geometric elements

The image shows two intersecting planes, labeled \(A\) and \(B\). Points \(C\) and \(D\) lie on the line where the two planes meet. Point \(E\) lies on plane \(B\) but not on the intersection line.

Apply intersection postulate

Using the Geometric Figures concept, we recall that when two distinct planes intersect, their intersection is exactly one unique line.

Determine the intersection

Since points \(C\) and \(D\) both lie on the line of intersection, the line containing these points, which is line \(CD\), represents the complete intersection of planes \(A\) and \(B\).

Answer:

• line CD (Correct answer)
• line ED
• point C
• point D