Question

Reference image of a square pyramid, P, is provided on the left. Assume Q as an identical pyramid created by mirroring P in upward direction. Q was rotated by 135 degrees around the vertical axis and then brought down so that the two pyramids intersect. Which of the options is the resultant view as seen from the given direction arrow?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is A

The problem asks us to determine the resultant view from a given direction after a series of transformations and intersections involving two identical square pyramids. Here's how to approach the problem:

1. Understanding Pyramid Q: Pyramid Q is an exact reflection of Pyramid P, mirrored upward. This means Q retains the same base shape and dimensions but is initially positioned such that its apex is directly above the base of P.
2. Rotation of Pyramid Q: Q is then rotated 135 degrees around a vertical axis. A 135-degree rotation will change the orientation of the square base of pyramid Q relative to pyramid P.
3. Intersection of Pyramids: Once rotated, Q is brought down to intersect with pyramid P. The overlapping parts where the bases meet will determine the resultant shape.
4. Resultant View Analysis: Given the direction of view, consider what sections are seen when the two bases intersect. The intersection of two identical square bases, rotated, and intersecting results in a pattern with overlapping sections resembling a star shape.

Thus, the correct view from the specified direction shows a pattern composed of overlap and shifted alignment of Pyramid Q as per the given image above. By examining the options, it's clear the correct match for the resultant view is the given correct answer image.