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In the adjoining figure, BM and CN are t...

In the adjoining figure, BM and CN are the altitudes drawn to the sides AC and AB respectively of `DeltaABC`. If BM=CN, prove that `DeltaABC` is isosceles.

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In the adjoining figure, BM and DN are the perpendiculars from B and D respectively to AC such that BM = DN. Prove that BO = OD.

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In the adjoining figure BO and CO are the bisectors of angleCBD and angleBCE respectively. If AC gt AB , prove that OB gt OC .

In the adjoining figure, DeltaPQR is formed by the sides PQ, QR and RP which are drawn parallel to sides AB,BC and CA respectively of DeltaABC. Prove that " "PQ+QR+RP=2(AB+BC+CA).

If BM and CN are the perpendiculars drawn on the sides AC and BC of the Delta ABC , prove that the points B, C, M and N are concyclic.

L and M are the mid-points of sides AB and DC respectively of parallelogram ABCD. Prove that segments DL and BM trisect diagonal AC.

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ICSE-CONGRUENCE-EXERCISE 21
  1. In the adjoining figure, BM and CN are the altitudes drawn to the side...

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  2. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

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  3. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

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  4. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

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  5. State the condition (SSS or SAS or ASA or RHS) under which DeltaABC~=D...

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  6. State giving reasons, which of the following are pairs of congruent tr...

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  7. State giving reasons, which of the following are pairs of congruent tr...

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  8. State giving reasons, which of the following are pairs of congruent tr...

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  9. State giving reasons, which of the following are pairs of congruent tr...

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  10. State giving reasons, which of the following are pairs of congruent tr...

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  11. State giving reasons, whether the following pairs of triangles are con...

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  12. State giving reasons, whether the following pairs of triangles are con...

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  13. State giving reasons, whether the following pairs of triangles are con...

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  14. State giving reasons, whether the following pairs of triangles are con...

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  15. In the given figure, AB=CD and AD=CB. Prove that : (i) DeltaABD=Delt...

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  16. In the given figure, angleSPR=angleQRP and angleRSP=anglePQR. Prove th...

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  17. In the given figure we have AO=BO and CO=DO. Prove that : (i) DeltaA...

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  18. In the given figure, ABbotBD,CDbotBD and AB=CD. Prove that : (i) Del...

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  19. In the given figure, PLbotOA and PMbotOB such that OL=OM. Prove that :...

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  20. In the given figure, we have PQ=SR and PR=SQ. Prove that : (i) Delta...

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  21. In the given figure, we have ACbotCD,BCbotCD and DA=DB. Prove that : C...

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