Name the intersection of planes ADE and BEA.
A- plane BED
B- plane ABC
C- line BD
D- line AE
My choice is D.
(Sorry that I could not post an image)
I would agree with D.
Ok, thank you!! :)
To determine the intersection of planes ADE and BEA, we need to find any common elements between the two planes.
The planes ADE and BEA are both defined by three points:
ADE: A, D, and E
BEA: B, E, and A
Looking at the points, we can see that point A is common to both planes. Therefore, the intersection of planes ADE and BEA is the point A.
To determine the intersection of planes ADE and BEA, we need to find the common line or point where the two planes meet. The planes can intersect in three possible ways: they can intersect in a line, a point, or they can be parallel and not intersect at all.
In this case, we have the following:
Plane ADE: Contains points A, D, and E.
Plane BEA: Contains points B, E, and A.
To find the common line or point of intersection, we need to identify the common points between the two planes. Looking at their point sets, we can see that both planes have point E in common. Thus, the common line or point of intersection between planes ADE and BEA is line AE or point E.
Therefore, your choice of D - line AE is correct as the intersection of planes ADE and BEA.