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In the adjoining figure, angleBAC=angleB...

In the adjoining figure, `angleBAC=angleBDC` and `angleABC=angleBCD`. Prove that :
(i) `DeltaABC cong DeltaDCB`
(ii) `DeltaABE cong DeltaDCF`.

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NAGEEN PRAKASHAN-TRIANGLES-Exercise 7a
  1. In DeltaABC, angleB= angleC. Prove the perpendiculars from the mid-poi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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