The straight lines k and ℓ intersect at right angles. A line intersects k in A and ℓ in B. Consider all straight line segments PQ (P on k and Q on ℓ), which makes an angle of 45o with AB.
(a) Determine the locus of the midpoints of the line segments PQ,
(b) If the perpendicular bisector of such a line segment PQ intersects the line k at K and the line ℓ at L, then prove that KL≥PQ. [hide=original wording of second sentence]De loodrechte snijlijn van k en l snijdt k in A en t in B geometryLocusgeometric inequalitymidpoint