Waec 2025 Mathematics Question 8

Practice essay / theory question 8 from the 2025 Waec Mathematics examination. This question covers Construction / Geometry .

Waec 2025 Mathematics Essay / Theory 3 Difficulty
Topic: Construction / Geometry
Question 8 WAEC • 2025 • MATHEMATICS • essay

Using a ruler and a pair of compasses only, construct; (i) a quadrilateral PQRS such that \( |PQ| = 8.5\text{cm} \), \( |QR| = 7.5\text{cm} \), \( \angle QPS = 60^{\circ} \), \( \angle PQR = 105^{\circ} \) and \( S \) is a point on the locus, \( L_{1} \), which is equidistant from \( \overline{PQ} \) and \( \overline{QR} \\ \); (ii) locus, \(L_{2}\), of points equidistant from $P$ and \( Q \\ \); (iii) locate the point \( K \), which is the point of intersection of \( L_{1} \) and \( L_{2} \). (b) Measure \( |KS| \).

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About This Question

This is Waec 2025 Mathematics Question 8. It is one of the essay questions from the 2025 Waec Mathematics examination.

The question covers Construction / Geometry .

Difficulty level: 3 .

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