In quadrilateral PQRS , PS = QR and ` angle SPQ = angle RQP ` . Prove that :
` angle QPR = angle PQS `

In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove that : PR = QS

In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that AC = AB

In a quadrilateral ABCD, AB = CD and angle B = angle C . Prove that AD is parallel to BC.

The given figure shows PQ = PR and angle Q = angle R . Prove that Delta PQS = Delta PRT

In quadrilateral ABCD, AD = BC and BD = CA. Prove that : (i) angle ADB = angle BCA (ii) angle DAB = angle CBA

In Delta PQR , If angle R gt angle Q, then

In quadrilateral PQRS, angleP: angleQ: angleR: angleS= 3:4:6: 7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other. (i) Is PS also parallel to QR ? (ii) Assign a special name to quadrilateral PQRS.

In the adjoining figure PQ = PR and angle PRQ = 70^(@) Find angle QPR.

The sides PQ, PR of triangle PQR are equal, and S, T are points on PR, PQ such that angle PSQ and anglePTR are right angles Prove that the triangles PTR and PSQ are congruent.

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency : (a) In Delta ABC and Delta DEF , AB = DE, BC = EF and angle B = angle E . (b) In Delta ABC and Delta DEF, angle B = angle E = 90^(@) , AC = DF and BC = EF. (c) In Delta ABC and Delta QRP , AB = QR, angle B = angle R and angle C = angle P . (d) In Delta ABC and Delta PQR , AB = PQ, AC = PR and BC = QR. (e) In Delta ABC and Delta PQR , BC = QR, angle A = 90^(@), angle C = angle R = 40^(@) and angle Q = 50^(@) .