Home
Class 11
MATHS
State the converse and contrapositive of...

State the converse and contrapositive of the following statement: If a quadrilateral is a parallelogram then its diagonals bisect each other.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    RD SHARMA ENGLISH|Exercise All Questions|101 Videos
  • MEASUREMENT OF ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|56 Videos

Similar Questions

Explore conceptually related problems

State the converse and contrapositive of the following statement: If it is hot outside, then you feel thirsty.

Write the converse and contrapositive for the statement p rArr q.

Write the converse and contrapositive of the following: If it rains, then I stay at home

State the converse and contrapositive of the following statement: If you live in Delhi, then you have winter clothes.

State the converse and contrapositive of the following statement: I go to a beach whenever it is a sunny day.

A quadrilateral is a parallelogram if its opposite sides are equal.

Statement the converse and contrapositive of each of the following statements: I go to a beach whenever it is a sunny day.

A quadrilateral is parallelogram if its opposite angles are equal.

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other.(a) If you live in Delhi, then you have winter clothes. (i) If you do not have winter clothes, then you do not live in Delhi. (ii) If you have winter clothes, then you live in Delhi.(b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Write the converse, inverse and contrapositive of the following statements. If you drink milk, you will be strong.

RD SHARMA ENGLISH-MATHEMATICAL REASONING-All Questions
  1. State the converse and contrapositive of the following statement: A ...

    Text Solution

    |

  2. State the converse and contrapositive of the following statement: If...

    Text Solution

    |

  3. State the converse and contrapositive of the following statement: If...

    Text Solution

    |

  4. Rewrite the following statements in the form p if only ifq : if yo...

    Text Solution

    |

  5. Rewrite the following statement in the form p if only ifq : q : if ...

    Text Solution

    |

  6. Rewrite the following statement in the form p if only ifq : r : For...

    Text Solution

    |

  7. Rewrite the following statement in the form p if only ifq : If a tum...

    Text Solution

    |

  8. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  9. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  10. Determine the contrapositive of each of the following statements: (i) ...

    Text Solution

    |

  11. Determine the contrapositive of each of the following statements: (i)I...

    Text Solution

    |

  12. Given below are two statements: p : 80 is a multiple of 5 q : 80 is a ...

    Text Solution

    |

  13. If p\ a n d\ q are two statement given by: p : 25 is multiple of 5. q ...

    Text Solution

    |

  14. Given below are two statement: p : 25 is a multiple of 5. q : 25 is a ...

    Text Solution

    |

  15. Check the validity of the following statement: “Square of an integer i...

    Text Solution

    |

  16. Check whether the following statement is true or not: If x\ a n d\ y a...

    Text Solution

    |

  17. Check whether the following statement is true and false by proving its...

    Text Solution

    |

  18. Show that the statement: p : If\ x is a real number such that x^3+4x=0...

    Text Solution

    |

  19. Show that he following statement is true by the method of contrapos...

    Text Solution

    |

  20. Using the words necessary and sufficient rewrite the statement The int...

    Text Solution

    |