- AA rectangle
- BA rhombus
- CA parallelogram that is neither a rectangle nor a rhombus
- DA square
Step-by-Step Solution
AB = √ √10 and DC = √ √10; BC = √ √18 and AD = √ √18. Opposite sides are equal, and the vector from A to B equals the vector from D to C, so it is a parallelogram. It is not a rhombus because √10 ≠ √18, and it is not a rectangle because the diagonals AC = √52 and BD = 2 are unequal.
Answer: C) A parallelogram that is neither a rectangle nor a rhombus