Home
Class 9
MATHS
AB is a line segment and P is its midpoi...

AB is a line segment and P is its midpoint. D and E are points on the same side of AB such that `angleBAD = angleABE` and `angleEPA = angleDPB`. Show that AD=BE.

Promotional Banner

Topper's Solved these Questions

  • Surface Areas and Volumes

    MBD|Exercise Exercise|226 Videos

Similar Questions

Explore conceptually related problems

In Fig. AC = AE, AB = AD and angleBAD = angleEAC . Show that BC = DE.

In Fig. AC = AE, AB = AD and angleBAD = angleEAC . Show that BC = DE.

In fig. D and E are points on side BC of triangleABC such that BD=CE and AD=AE. Show that triangleABDequivtriangleACE

AB is a line-segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (see Fig. 7.37). Show that the line PQ is the perpendicular bisector of AB.

AB is a line segment and line l is its perpendicular bisector. If a point P lies on l, show that P is equidistant from A and B.

D and E are points on sides AB and AC respectively of a DeltaABC such that ar (DeltaBCE) = ar (DeltaBCD) . Show that DE || BC .

D and E are points on sides AB and AC respectively of DeltaABC such that ar (DBC) = ar (EBC). Prove that DE II BC .

If AB is a line segment AX and BY are two equal and line segments drawn on opposite sides of the line AB such that AX||BY. If the AB and XY intersect and each other at O, prove that AB and XY bisect each other.

If AB is a line segment AX and BY are two equal and line segments drawn on opposite sides of the line AB such that AX||BY. If the AB and XY intersect and each other at O, prove that triangleAOXequivtriangleBOY .

ABC is an isosceles triangle with AB=AC and D is a point on an BC such that ADbotBC to prove that angleBAD=angleCAD ,

MBD-Triangles-Exercise
  1. In Fig. AC = AE, AB = AD and angleBAD = angleEAC. Show that BC = DE...

    Text Solution

    |

  2. AB is a line segment and P is its midpoint. D and E are points on the ...

    Text Solution

    |

  3. AB is a line segment and P is its midpoint. D and E are points on the ...

    Text Solution

    |

  4. In right triangle ABC, right angled at C, M is the mid-point of hypote...

    Text Solution

    |

  5. In right triangle ABC, right angled at C, M is the mid-point of hypote...

    Text Solution

    |

  6. In right triangle ABC, right angled at C, M is the mid-point of hypote...

    Text Solution

    |

  7. In right triangle ABC, right angled at C, M is the mid-point of hypote...

    Text Solution

    |

  8. The following pairs of triangles are congruent ? DeltaABC and DeltaPQR...

    Text Solution

    |

  9. The following pairs of triangles are congruent ? DeltaABC and DeltaDEF...

    Text Solution

    |

  10. The following pairs of triangles are congruent ? DeltaABC and DeltaXYZ...

    Text Solution

    |

  11. In an isosclees triangle ABC, with AB = AC, the bisectors of angleB an...

    Text Solution

    |

  12. In an isosclees triangle ABC, with AB = AC, the bisectors of angleB an...

    Text Solution

    |

  13. In DeltaABC, AD is the perpendicular bisector of BC (See Fig. ). Show...

    Text Solution

    |

  14. ABC is an isosceles triangle in which altitudes BE and CF are drawn to...

    Text Solution

    |

  15. ABC is a triangle in which altitudes BE and CF to sides AC and AB are ...

    Text Solution

    |

  16. ABC is a triangle in which altitudes BE and CF to sides AC and AB are ...

    Text Solution

    |

  17. ABC and DBC are two isosceles triangles on the same base BC (See Fig. ...

    Text Solution

    |

  18. DeltaABC is an isoscelestriangle in which AB = AC. Side BA is produced...

    Text Solution

    |

  19. ABC is a right angled triangle in which angleA = 90^@ and AB = AC. Fin...

    Text Solution

    |

  20. Show that the angles of an equilateral triangle are 60^@ each.

    Text Solution

    |