Parallelogram diagonals bisect each other: share a midpoint

CAT has tested this idea 4 times across 4 papers, from 2017 to 2025. Solve one, and the others are the same method with different numbers or wording, which is why repeated concepts are the most efficient thing to practise.

Question	What it asks	Answer
CAT 2022 Slot 1 · QA Q1	three vertices given; find the fourth	A
CAT 2020 Slot 3 · QA Q25 near-repeat	opposite vertices given; other diagonal on a line	C
CAT 2017 Slot 2 · QA Q17 near-repeat	rectangle diagonal ends given; other on y = 3x + c	D
CAT 2025 Slot 1 · QA Q13	diagonal SQ meets the x-axis	B

Part of Coordinate Geometry (16 questions since 2017).