angle bisectors form the vertices of a rectangle – Discussion Forum

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Virat

Asked: September 30, 2026In: Class 9 Maths

Let ABCD be a parallelogram with AB ≠ BC. Show that the pairwise intersection points of the four angle bisectors form the vertices of a rectangle (see Fig. 12.11). Why did we assume AB ≠ BC?

Adjacent angles of a parallelogram sum to 180°, so their bisectors add to 90°, forcing right angles at intersections to form a rectangle. If AB = BC, all bisectors intersect at a single point. Cbse Class 9 Maths Ganita Manjari Part ...