Home
Class 9
MATHS
In Delta ABC and DeltaDEF , AB=FD and a...

In `Delta ABC` and `DeltaDEF` , AB=FD and `angleA=angleD`. The two triangle will be congruent by SAS axiom, if

A

BC=EF

B

AC=DE

C

AC=EF

D

BC=DE

Text Solution

Verified by Experts

The correct Answer is:
B
Given,in `Delta ABC " and " Delta DEF `,AB=DF and `angleA=angleD`
we know that,two triangle will be congruent by ASA rule,if two angles and the included side of one triangle are equal to the two angles and the included side of other triangle
`therefore " " AC=DE`
Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

  • VOLUME AND SURFACE AREA

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC and Delta DEF , if AB = EF, BC= DE and CA = FD, then

Assertion: In triangles ABC and PQR, angleA= angleP, angleC= angleR and AC=PR . The two triangles are congruent by ASA congruence. Reason : If two angles and included side of a triangle are equal to the corresponding angles and side of the other triangle then the triangles are congruent by ASA congruence criteria. (a) Assertion and reason both are correct and reason is the correct explanation for the assertion. (b) Assertion and reason both are correct and reason is not the correct explanation for the assertion. (c) Assertion is correct but reason is wrong. (d) Reason is correct but assertion is wrong.

In triangles ABC and DEF, angleA=angleD,angleB=angleE and AB=EF. Will the two triangles be congruent ? Give reasons for your answer.

In triangle ABC and triangle DFE , AB = FD , angle A = angle D . The which of the following is correct ?

If in ∆ABC and ∆DEF, AB = DE, ∠A = ∠D and BC = EF then the two triangle ABC and DEF are congruent by SAS criterion.

In an isosceles triangle ABC, AB=AC and angleA=3angleB. Find angleC .

In the figure given below, M is the mid-point of AB and angle DAB = angle CBA and angle AMC = angle BMD. Then the triangle ADM is congruent to the triangle BCM by

In Delta ABC and Delta PQR,angleA=angleQ and angleB=angleR. Which side of Delta PQR should be equal to side AB of Delta ABC , so that the two triangle are congruent ? Give reason for your answer.

NCERT EXEMPLAR-TRIANGLES-Triangles
  1. In Delta PQR, If angle R gt angle Q, then

    Text Solution

    |

  2. In Delta ABC and Delta PQR , If AB=AC, angleC=angleP " and " angleB=a...

    Text Solution

    |

  3. In Delta ABC and DeltaDEF , AB=FD and angleA=angleD. The two triangle...

    Text Solution

    |

  4. In Delta ABC and Delta PQR,angleA=angleQ and angleB=angleR. Which side...

    Text Solution

    |

  5. In Delta ABC and Delta PQR,angleA=angleQ and angleB=angleR. Which side...

    Text Solution

    |

  6. If two sides and an angle of one triangle are equal to two sides and a...

    Text Solution

    |

  7. If two sides and an angle of one triangle are equal to two sides and a...

    Text Solution

    |

  8. Is it possible to construct a triangle with lengths of its sides as 4 ...

    Text Solution

    |

  9. It is given that Delta ABC cong Delta RPQ .Is it true to say that BC =...

    Text Solution

    |

  10. It DeltaPQR cong DeltaED,then is it true to say the PR = EF ? Given re...

    Text Solution

    |

  11. In Delta PQR,angleP=70^(@) " and " angleR=30^(@) .Which side of this t...

    Text Solution

    |

  12. AD is a median of the Delta ABC.Is it trure AB+BC+CA gt 2 AD ? Give re...

    Text Solution

    |

  13. M is point on side BC of a triagle ABC such that AM is the bisector of...

    Text Solution

    |

  14. Is it possible to construct a triangle with lengths of its sides as 9 ...

    Text Solution

    |

  15. Is it possible to construct a triangle with length of its sides as 8 c...

    Text Solution

    |

  16. ABC is an isosceles triangle with AB =AC and BD,CE are its two medians...

    Text Solution

    |

  17. In figure ,D and E are Points on side BC of a Delta ABC such that BD=C...

    Text Solution

    |

  18. In the given figure,Delta CDE is an equlatel triangle triangle formed...

    Text Solution

    |

  19. In figure ,BA | AC,DE |DF such that BA =DE and BF=EC.then

    Text Solution

    |

  20. If Q is a point on the side SR of a triangle PSR such that PQ=PR then...

    Text Solution

    |