Geometry

Question Analysis:
This question uses coordinates to test understanding of side lengths and parallelogram conditions.

Key Concept Explanation:
Use distance formula to compare opposite sides and infer shape type.

Step-by-Step Solution:
AB = √[(4–0)² + (0–0)²] = 4
CD = √[(6–2)² + (3–3)²] = 4 → A) ✔
AD = √[(2–0)² + (3–0)²] = √13
BC = √[(6–4)² + (3–0)²] = √13 → B) ✔
→ Both opposite sides congruent ⇒ C) ✔
Diagonals:
AC = √[(6–0)² + (3...