Geometry

Question Analysis:
This question involves checking whether a quadrilateral is a parallelogram by analyzing side lengths using coordinate geometry.
The main focus is on verifying if both pairs of opposite sides are congruent through distance formula.

Key Concept Explanation:
If both pairs of opposite sides of a quadrilateral are congruent, then it must be a parallelogram, regardless of angles or diagonals.
We use the distance formula to confirm side lengths in the coordinate plane:
Distance=

Click "Show Answer" to reveal the answer and analysis