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Given a DeltaABD in which AB=AD and AC b...

Given a `DeltaABD` in which `AB=AD` and `AC` bisects `BD`. Prove that :
`DeltaABC cong DeltaADC`.

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In the adjoining figure, DeltaABC is an isosceles triangles in which AB=AC and AD is the bisector of angleA . Prove that : (i) DeltaADB~=DeltaADC (ii) angleB=angleC (iii) BD=DC (iv) ADbotBC

In the adjoining figure, DeltaABC is an isosceles triangles in which AB=AC and AD is a median. Prove that : (i) DeltaADB~=DeltaADC (ii) angleBAD=angleCAD

In the adjoining figure, AD = DC and DB bisects angleADC . Prove that DeltaADB cong DeltaCDB .

In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove that : (i) DeltaABD cong DeltaACD (ii) AD is perpendicular to BC.

In the figure, given below, straight lines AB and CD intersect at P, and AC//BD. Prove that : Delta APC and DeltaBPD are similar.

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

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

In the given figure, D and E are the points on the base BC of DeltaABC such that BD=CE, AD= AE and angleADE=angleAED , prove that DeltaADB cong DeltaAEC .

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In quadrilateral ABCD, diagonal BD is bisected by the diagonal AC. Prove that : Delta ABC and Delta ADC are equal in area.

NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7a
  1. In the given figure, AB = DB and AC = DC. If angle ABD = 58^(@), angle...

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  2. BD is the disector of angle ABC. From a point P in BD, perpendiculars ...

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  3. Given a DeltaABD in which AB=AD and AC bisects BD. Prove that : Delt...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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