Home
Class 7
MATHS
In the adjoining figure, /\ ABC is an is...

In the adjoining figure, `/_\ ABC` is an isosceles triangle in which AB = AC. If E and F be the midpoints of AC and AB respectively, prove that BE = CF. Hint. Show that `/_\ BCF = /_\ CBE`.

Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE

    RS AGGARWAL|Exercise EXERCISE|18 Videos
  • COLLECTION AND ORGANISATION OF DATA (MEAN, MEDIAN AND MODE)

    RS AGGARWAL|Exercise EXERCISE 21C|5 Videos
  • CONSTRUCTIONS

    RS AGGARWAL|Exercise TEST PAPER (True/False)|4 Videos

Similar Questions

Explore conceptually related problems

In the adjoining figure, ABC is an isosceles triangle in which AB = AC. If E and F be the midpoints of AC and AB respectively, then

In the given figure, /_\ ABC is an isosceles triangle in which AB - AC. If AB and AC are produced to D and E respectively such that BD = CE, prove that BE = CD. Hint. Show that /_\ ACD = /_\ ABE .

ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of AB and AC respectively,prove that the points B,C,D and E are concylic.

ABC is an isosceles triangle in which AB=AC. If D and E are the mid-points of AB and AC respectively,prove that the points B,C,D and E are concyclic.

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC. If BMbotACandCNbotAB , prove that: BM = CN

ABC is an isosceles triangle in which AB=ACdot BE and CF are its two medians Show that BE=CF

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: BD = CD

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is the bisector of angleA . Prove that: ADbotBC

In the adjoining figure, DeltaABC is an isosceles triangle in which AB = AC and AD is a median. Prove that: DeltaADB~=DeltaADC

RS AGGARWAL-CONGRUENCE-EXERCISE
  1. State the correspondence between the vertices, sides and angles of the...

    Text Solution

    |

  2. Given below are pairs of congruent triangles. State the property of co...

    Text Solution

    |

  3. In Fig. (i), PL bot OA and PM bot OB such that PL = PM. IS /\ PLO = /\...

    Text Solution

    |

  4. In Fig. (ii), AD = BC and AD || BC. IS AB = DC? Give reasons in suppor...

    Text Solution

    |

  5. In the adjoining figure, AB = AC and BD = DC. Prove that /\ ADB = /\ A...

    Text Solution

    |

  6. In the adjoining figure, ABC is a triangle in which AD is the bisector...

    Text Solution

    |

  7. In the adjoining figure, AB = AD and CB = CD. Is /\ ABC ~= /\ ADC ?...

    Text Solution

    |

  8. In the given figure, PA bot AB, QB bot AB and PA = QB. Which of the...

    Text Solution

    |

  9. In the given figure, triangles ABC and DCB are right angled at A and D...

    Text Solution

    |

  10. In the adjoining figure, /\ ABC is an isosceles triangle in which AB =...

    Text Solution

    |

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

    Text Solution

    |

  12. In the given figure, /\ ABC is an isosceles triangle in which AB - AC....

    Text Solution

    |

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

    Text Solution

    |

  14. If two triangles have their corresponding angles equal, are they alway...

    Text Solution

    |

  15. Are two triangles congruent if two sides and an angle of one triangle ...

    Text Solution

    |

  16. Draw /\ ABC and /\ PQR such that they are equal in area but not congru...

    Text Solution

    |

  17. Fill in the blanks: Q (i) Two line segments are congruent if they have...

    Text Solution

    |

  18. Which of the following statements are true and which of them are false...

    Text Solution

    |