Home
Class 9
MATHS
In rectangle ABCD, E is the midpoint of ...

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

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

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.

In triangle ABC, D is the midpoint of BC. DFZAB and DE bot AC, where points F and E lie on AB and AC respectively. If DF = DE, prove that A ABC is an isosceles triangle.

In an equilateral triangle ABC, D is a point on side BC such that BD= (1)/(3)BC . Prove that 9AD^(2)= 7AB^(2) .

In the following figures, PQ = LM, Q is the midpoint of PR and M is the midpoint of LN. Using the axioms, prove that PR = LN.

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).

In triangle ABC,D is the midpoint of AB, E is the midpoint of DB and F is the midpoint of BC. If the area of DeltaABC is 96, the area of DeltaAEF is

In DeltaABC, D, E and F are the midpoints of sides AB, BC and CA respectively. Show that DeltaABC is divided into four congruent triangles, when the three midpoints are joined to each other. (ΔDEF is called medial triangle)

In a triangle ABC, AD is the median drawn on the side BC is produced to E such that AD = ED prove that ABEC is a parallelogram.

In Delta ABC the coordinates of vertex A are (0,-1), D(1,0) and E(0,1) are the midpoints of sides AB and AC respectively. If F is the midpoint of side BC find the area of Delta DEF . Also find area of Delta 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

    |