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Which of the following pairs of triangles are congruent ? Also state the condition of congruency in each case :

(iv) In `DeltaABC` and `DeltaDEF, AB=EF, BC=DF` and `angleB=angleF`
(v) In `DeltaABC` and `DeltaPQR, AB=QR, AC=PR` and `angleB=angleR`
(vi) In `DeltaABC` and `DeltaPQR, angleA=angleP, AC=PR` and `AB=PQ`
(vi) In `DeltaABC` and `DeltaPQR, AB=QR, angle A=angle Q` and `AC=QP`.

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The correct Answer is:
(i) Yes (SAS) (ii) Yes (AAS) (iii) No (iv) Yes (SAS) (v) No (vi) Yes (SAS) (vii) Yes (SAS)
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NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7a
  1. Which of the following pairs of triangles are congruent ? Also state t...

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  2. In a DeltaABC, D in mid-point of BC, AD is produced upto E so that DE=...

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  3. In the given figure, AB = DB and AC = DC. If angle ABD = 58^(@), angle...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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