Question

Look at the planes ABCD and EFGH shown below:

The two planes intersect along which of the following lines?
A. XY
B. DY
C. AX
D. AD

Answer 1

Option A) XY

Explanation:

We are given the following information in the question:

Two planes ABCD and EFGH intersect each other as shown in the given figure.

We have to find the line along which the two planes intersect.

1. XY

If we join the points X and Y. Clearly, XY lies in the intersection of the two plane. Both the planes passes through the line XY. Hence, it is the line of intersection for both the planes.

2. DY

The line DY does not lie in the plane EFGH and thus cannot be the line of intersection for both the planes.

3. AX

The line AX does not lie in the plane EFGH and thus cannot be the line of intersection for both the planes.

4. AD

The line AD does not lie in the plane EFGH and thus cannot be the line of intersection for both the planes.

Answer 2

The two planes intersect at line XY

Given that two planes named ABCD and EFGH.

These two planes are intersecting each other as shown in the figure.

By looking the figure it is obvious that two planes are intersecting each other at point X and Y.

Hence, the correct answer is XY