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In the adjoining figure, ABCD is a quadr...

In the adjoining figure, ABCD is a quadrilateral. M and N are the points on AD and CD respectively such that `AB = BC, angleABM=angleCBN` and `angleMBD=angleNBD`. Prove that `BM = BN`.

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NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7a
  1. Find the value of x and y in each of the following figures containing ...

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

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

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

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

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

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

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  8. The given figure shows a parallelogram ABCD. Squares ABPQ and ADRS are...

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  9. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

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

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

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

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

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

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

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  16. In the following figure, OA = OC and AB = BC. Prove that : (i) angle...

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  17. In the adjoining figure, ABCD is a paralogram. The side AB is produced...

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  18. In the following figures, AB=PQ, AC=PR and AM=PN. Prove that DeltaABC ...

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  19. Prove that the medians of an equilateral triangle are equal.

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  20. ABCD is a square EF is parallel to BD. R is the mid-point of EF. Prove...

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