Geometric proofs using vectors

Specialist Mathematics · Unit 2 — Complex numbers, further proof, trigonometry, functions and transformations · Circle and geometric proofs

Learning objectives (4)

LO-1Prove an angle in a semicircle is a right angle. Specialist Mathematics 2025 v1.4 LO-2Prove midpoints of the sides of a quadrilateral join to form a parallelogram.LO-3Prove the diagonals of a parallelogram meet at right angles if and only if it is a rhombus.LO-4Prove the sum of the squares of the lengths of a parallelogram’s diagonals is equal to the sum of the squares of the lengths of the sides.

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