Home
Class 9
MATHS
In the given figure, AB and DC are both ...

In the given figure, AB and DC are both perpendicular to line segment AD. BC intersects AD at P and P is the midpoint of AD. Prove that, ( 1 ) AB = CD ( 2 ) P is the midpoint of BC.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|15 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise SUMS TO ENRICH REMEMBER|9 Videos

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 7.5|4 Videos

  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

In the given figure, XM and YN are both lt perpendicular to line segment XY and XM = YN. 4 Prove that P is the midpoint of XY as well as MN

AD and BC are equal and perpendiculars to a line segment AB. Show that CD bisects AB.

In triangleABC , point D lies on side BC. E is the midpoint of AD. Prove that, ar(EBC)= 1/2 ar(ABC)

Line-segment AB is parallel to another line-segment CD. O is the mid-point of AD. Show that (i) DeltaAOB ~= DeltaDOC (ii) O is also the mid-point of BC.

In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt AD.

AD and BC are equal perpendiculars to a line segment AB (see the given figure) Show that CD bisects AB.

In the given figure, AB||DC and AD||BC show that DeltaABC ~= Delta CDA .

In DeltaABC , P is the midpoint of AB and Q is the midpoint of AC. Then, PQCB is a …….

In the given figure AB || CD, BC || DE then find the values of x and y

In triangleABC , AD is a median . E is the midpoint of AD and F is the midpoint of AE. Prove that ar(ABF)= 1/8 ar(ABC).

KUMAR PRAKASHAN-TRIANGLES-SKILL TESTING EXERCISE
  1. In the given figure, XM and YN are both lt perpendicular to line segme...

    Text Solution

    |

  2. In the given figure AB and CD bisect each other at O. Prove that AC = ...

    Text Solution

    |

  3. In rectangle ABCD, E is the midpoint of side BC. Prove that, AE = DE.

    Text Solution

    |

  4. Prove that the medians of an equilateral triangle are equal.

    Text Solution

    |

  5. In the given figure, AB and DC are both perpendicular to line segment ...

    Text Solution

    |

  6. In triangle ABC, AB = AC and the bisector of angle A lt intersects BC ...

    Text Solution

    |

  7. In triangle ABC, the bisectors of angleB and angle C intersect at I. ...

    Text Solution

    |

  8. In triangle ABC, AB = AC and angle A = 36^(@). The bisector of angle C...

    Text Solution

    |

  9. In the given figure, PS = PR and angle TPS = angle QPR. Prove that P...

    Text Solution

    |

  10. In triangle ABC, D is the midpoint of BC. DFZAB and DE bot AC, where p...

    Text Solution

    |

  11. In parallelogram ABCD, diagonals AC and BD are equal. Find the measure...

    Text Solution

    |

  12. triangle ABC and triangle DBC are isosceles triangles on the same base...

    Text Solution

    |

  13. AD, BE and CF are altitudes of triangle ABC. If AD = BE = CF, prove t...

    Text Solution

    |

  14. In quadrilateral ABCD, BA = BC and DA = DC. Prove that BD bisects ang...

    Text Solution

    |

  15. In triangle ABC, AB gt AC and D is any point of BC. Prove that, AB gt...

    Text Solution

    |

  16. In triangle ABC, AC gt AB. AB is extended to P and AC is extended to Q...

    Text Solution

    |

  17. In triangle ABC, AD, BE and CF are altitudes. Prove I, that, AD + BE +...

    Text Solution

    |

  18. Point S lies in the interior of A PQR. Prove that, SQ + SR lt PQ + PR.

    Text Solution

    |

  19. In triangle ABC, AD is a median. Prove that AB + AC gt 2AD

    Text Solution

    |

  20. For any triangle, prove that the sum of the sides of the triangle is g...

    Text Solution

    |