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In quadrilateral ABCD, AB=DC and AD=BC. ...

In quadrilateral ABCD, AB=DC and AD=BC. Prove that the sides AB and DC are parallel to each other.

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NAGEEN PRAKASHAN-TRIANGLES-Exercise 7a
  1. Given a DeltaABD in which AB=AD and AC bisects BD. Prove that : Delt...

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  2. In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove...

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  3. In quadrilateral ABCD, AB=DC and AD=BC. Prove that the sides AB and DC...

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  4. In DeltaABC, AB = AC and the bisectors of angleB and angleC meet AC an...

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  5. In DeltaABC, angleB= angleC. Prove the perpendiculars from the mid-poi...

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  6. Find the value of x and y in each of the following figures containing ...

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  7. In the adjoining figure, angleBAC=angleBDC and angleABC=angleBCD. Prov...

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  8. In the adjoining figure, ABCD is a quadrilateral. M and N are the poin...

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  9. Given AD=DC and DB biscets angleADC. (i) Prove that, DeltaADB cong D...

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  10. The adjoining figure shows a square ABCD and an equilateral triangle D...

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  11. Equilateral triangles ABD and ACE are drawn on sides AB and AC respect...

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  12. The following figure shows a square ABCD and an equilateral triangle D...

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  13. The given figure showns a parallelogram ABCD. Squares ABPQ and ADRS ar...

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  14. In a DeltaABC, BD is the median to the side Ac, BD is produced to E su...

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  15. In the given figure, angleBDC=angleBEA and AB = BC. Show that AE=CD.

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  16. If the diagonals of a quadrilateral bisect each other at right angle, ...

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  17. In the adjoining figure, BM and DN are the perpendiculars from B and D...

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  18. In the adjoining figure, AB=EF, BC=DE, angleABC=angleFED=90^(@), prove...

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  19. In the adjoining figure, ABCD is a parallelogram. If angleMBC = angleN...

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  20. In the adjoining figure, QX and RX are the bisectors of the angles Q a...

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