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- In Fig 6.13, OB is the perpendicular bisector of the line segment DE, FA ⊥ OB and F E intersects OB at the point C. Prove that
- In Fig 6.7, ∠D = ∠E and AD/DB = AE/EC . Prove that BAC is an isosceles triangle.
- ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure). Prove that (i) ΔABD ≅ ΔBAC
- In figure, T is a point on side QR of ∆PQR and S is a point such that RT = ST. Prove that PQ + PR > QS
- In a right angled triangle, one acute angle is double the other. Prove that the hypotenuse is double the smallest side.

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