Geometry

Question Analysis:
Multiple properties: parallel sides, perpendicular diagonals, rectangle check.

Key Concept Explanation:
Parallel: same slope.
Perpendicular: slopes are negative reciprocals.
Rectangle: 4 right angles + opposite sides equal.

Step-by-Step Solution:
AB slope = (2 - 2)/(7 - 1) = 0
CD slope = (5 - 5)/(0 - 6) = 0 → AB || CD ✅
AC slope = (5 - 2)/(6 - 1) = 3/5
BD slope = (5 - 2)/(0 - 7) = 3/(-7)
→ Slopes not negative reciprocals ❌
AB slope 0, BC slope = (5 - 2)/(6 - 7) = 3/(-1) = -3
→ Not perpendicular to 0 → ❌
Rec...