Home
Class 7
MATHS
If ∆ABC and ∆DBC are on the same base B...

If `∆ABC and ∆DBC` are on the same base BC, AB = DC and AC = DB (Fig. 6.21), then which of the following gives a congruence relationship?

A

`DeltaABC~=DeltaDBC`

B

`DeltaABC~=DeltaCBD`

C

`DeltaABC~=DeltaDCB`

D

`DeltaABC~=DeltaBCD`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE OF TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Match the following|2 Videos
  • CONGRUENCE OF TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Assertion & Reaction Type|5 Videos
  • CONGRUENCE OF TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise NCERT Section (Exercise 7.2)|20 Videos
  • COMPARING QUANTITIES

    MTG IIT JEE FOUNDATION|Exercise Olympaid/HOTS Corner|20 Videos
  • DATA HANDLING

    MTG IIT JEE FOUNDATION|Exercise Olympiad / Hots Corner |20 Videos

Similar Questions

Explore conceptually related problems

If for ∆ABC and ∆DEF , the correspondence CAB ↔ EDF gives a congruence, then which of the following is not true?

In triangle ABC and triangle PQR If AB = QP , angle B = angle P , BC = PR then which one of the following congruence conditions applies :

In Delta ABC,AC=BC=7 and AB=2 If AB is extended to D such that CD=8, then which of the following is/are correct?

Triangles ABC and DBC have side BC common,AB=BD and AC=CD .Are the two triangles congruent? State in symbolic form.Which congruence condition do you use? Does /_ABD equal /_ACD? Why or why not?

Two triangles ABC and DBC are on the same base BC and on the same side of BC in which angle A= angle D=90^@ . If CA and BD meet each other at E, show that AE. EC= BE. ED .

In Figure,ABC and DBC are two triangles on the same base BC such that AB=AC and DB=DC .Prove that /_ABD=/_ACD

ABC and DBC are two triangle on the same base BC such that A and D lie on the opposite sides of BC,AB=AC and DB =DC ,Show that AD is the perpedicular bisector of BC.

Delta ABC and Delta DBC are on same base BC and their vertices A and D are on opposite sides of BC. It is given that: area of Delta ABC = " area of " Delta DBC Prove that BC bisects the line segment AD.

Delta ABC and Delta DBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC. If AD is extended to intersect BC at E show that

ABC and DBC are both isosceles triangles on a common base BC such that A and D lie on the same side of BC .Are triangles ADB and ADC congruent? Which condition do you use? If /_BAC=40^(@) and /_BDC=100^(@) ; then find /_ADB

MTG IIT JEE FOUNDATION-CONGRUENCE OF TRIANGLES -Exercise (Multiple Choice Questions) (LEVEL - 1)
  1. Which of the following is not a criterion for congruence of triangle ?

    Text Solution

    |

  2. If DeltaPQR is congruent to DeltaSTU in the given figure, then what is...

    Text Solution

    |

  3. If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (Fig. 6...

    Text Solution

    |

  4. If DeltaABC~=DeltaPRQ, then angleBandPQ are respectively equal to

    Text Solution

    |

  5. In the adjoining figure, if AB = AD and CB = CD, then whch of the foll...

    Text Solution

    |

  6. In the given figure, if DeltaOAP~=DeltaOBQ, then which of the followin...

    Text Solution

    |

  7. If DeltaEFG~=DeltaPQR and GE is the hypotenuse in DeltaEFG, then right...

    Text Solution

    |

  8. In the given figure, angleAandangleC are right angles and AB = CD. The...

    Text Solution

    |

  9. DeltaABCandDeltaDEF are congruent triangles by SSS congruence conditio...

    Text Solution

    |

  10. DeltaABC~=DeltaXYZ,angleA=50^(@),angleB=60^(@) then measure of angleZ ...

    Text Solution

    |

  11. In the given figure, PQ = .

    Text Solution

    |

  12. In the given figure, DeltaDEF~=DeltaCAB. Which of the following is not...

    Text Solution

    |

  13. In the given figure, PQ = SR and PQ||SR. Then which of the following i...

    Text Solution

    |

  14. In the figure, DeltaABD~=DeltaACD,angleACD=75^(@)andangleADC=45^(@) th...

    Text Solution

    |

  15. DeltaPRQandDeltaLMN are congruent in any correspondence. PQ = 5 cm, PR...

    Text Solution

    |

  16. Observe the figure and choose the correct relation from the following.

    Text Solution

    |

  17. In the given figure, Delta ~=DeltaPQR

    Text Solution

    |

  18. In the adjoining figure, if ABC is a triangle in which AD is the bisec...

    Text Solution

    |

  19. In the adjoining figure, ABC is an isosceles triangle in which AB = AC...

    Text Solution

    |

  20. In the adjoining figure, P and Q are two points on equal sides AB and ...

    Text Solution

    |