Home
Class 9
MATHS
ABCD is a square, X is the mid-point of ...

ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. Prove that
DX is perpendicular to AY.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise ISOSCELES TRIANGLES |2 Videos
  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise INEQUALITIES |7 Videos
  • CHAPTERWISE REVISION (STAGE 3)

    ICSE|Exercise LOGARITHM |9 Videos
  • CHAPTERWISE REVISION (STAGE 1)

    ICSE|Exercise Graphical solution |10 Videos
  • CIRCLE

    ICSE|Exercise EXERCISE 17(D)|12 Videos

Similar Questions

Explore conceptually related problems

ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. Prove that angle DXA = angle AYB

ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. Prove that the triangles ADX and BAY are congruent.

In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.

ABCD is a parallelogram. E is the mid-point of AB and F is the mid-point of CD. GH is any line that intersects AD, EF and BC at G, P and H respectively. Prove that : GP=PH

D is the mid-point of side AB of the triangle ABC.E is the mid-point of CD and F is the mid-point of AE. Prove that 8 xx " area of " (DeltaAFD) = " area of " Delta ABC

ABCD is a parallelogram E is mid-point of AB and DE bisects angle D. Prove that BC= BE

In the adjoining figure (i) AB=BC, M is the mid -point of AB and N is the mid- point of BC. Show that AM=NC. (ii) BM=BN,M is the mid- point of AB and N is the mid - point of BC. Show that AB=BC.

In the adjoining figure ABCD is a parallelogram, ABM is a line segment and E is the mid-point of BC. Prove that : (i) DeltaDCE cong DeltaMBe (ii) AB = BM (iii) AM=2DC

ABCD is a square. E and F are respectively the mid-points of BC and CD. If R is the mid-point of EF, prove that ar (DeltaAER) = ar (DeltaAFR) .

In trapezium ABCD, sides AB and DC are parallel to each other. E is mid-point of AD and F is mid-point of BC. Prove that : AB + DC = 2EF.

ICSE-CHAPTERWISE REVISION (STAGE 3) -TRIANGLES
  1. ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. ...

    Text Solution

    |

  2. ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. ...

    Text Solution

    |

  3. ABCD is a square, X is the mid-point of AB and Y the mid-point of BC. ...

    Text Solution

    |

  4. The sides PQ, PR of triangle PQR are equal, and S, T are points on PR,...

    Text Solution

    |

  5. The sides PQ, PR of triangle PQR are equal, and S, T are points on PR,...

    Text Solution

    |

  6. ABCD is a square. P, Q and Rare the points on AB, BC and CD respective...

    Text Solution

    |

  7. ABCD is a square. P, Q and Rare the points on AB, BC and CD respective...

    Text Solution

    |

  8. ABCD is a square. P, Q and Rare the points on AB, BC and CD respective...

    Text Solution

    |

  9. A B C\ a n d\ D B C are two isosceles triangles on the same bas B ...

    Text Solution

    |

  10. Triangles ABC and DBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  11. Triangles ABC and DBC are two isosceles triangles on the same base BC ...

    Text Solution

    |

  12. A B C\ a n d\ D B C are two isosceles triangles on the same bas B C...

    Text Solution

    |

  13. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  14. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  15. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  16. In a right triangle ABC, right angled at C, P is the mid-point of hypo...

    Text Solution

    |

  17. In the given figures , ABCD is a rectangle Prove that : Delta ABE ~...

    Text Solution

    |

  18. In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove th...

    Text Solution

    |

  19. In quadrilateral PQRS , PS = QR and angle SPQ = angle RQP . Prove th...

    Text Solution

    |