Home
Class 11
MATHS
Given the following statements : If a ...

Given the following statements `:`
If a quadrilateral is a parallelogram, then its diagonals bisect each other.
Identify these as contrapositive or converse of each other.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise EXERCISE 14(g) (SHORT ANSWER TYPE QUESTIONS)|8 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise EXERCISE14(G) FREQUENTLY ASKED QUESTIONS|3 Videos
  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise EXERCISE 14(E )(SHORT ANSWER TYPE QUESTIONS )|15 Videos
  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise CHAPTER TEST 4|12 Videos
  • MOCK TEST

    MODERN PUBLICATION|Exercise SECTION - D|5 Videos

Similar Questions

Explore conceptually related problems

Given the following statements : If the diagonals of a quadrilateral bisect each other, then it is a parallelogram. Identify these as contrapositive or converse of each other.

Write each of the following statements in the form 'if p, then q' : A quadrilateral is a parallelogram if its diagonals bisect each other.

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.

Given statements . Identify the statements given below as contrapositive or converse of each other. 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 diagronals of a quadrilateral bisect each other, then it is a parallelogram.

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

The diagonals of a |gm bisect each other

Given the following statements : A:If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. B: If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. Identify these as contrapositive or converse of each other.

Write the converse statement of the following statement : If a quadrilateral is a rhombus then its diagonals are perpendicular bisectors of each other . Also state whether the converse statement is true .

MODERN PUBLICATION-MATHEMATICAL REASONING -EXERCISE 14(F) (SHORT ANSWER TYPE QUESTIONS )
  1. Write each of the following statements in the form 'if p, then q' : ...

    Text Solution

    |

  2. Write each of the following statements in the form 'if p, then q' : ...

    Text Solution

    |

  3. Write each of the following statements in the form if p then q : Whene...

    Text Solution

    |

  4. Write each of the following statements in the form 'if p, then q' : ...

    Text Solution

    |

  5. Write each of the following statements in the form 'if p, then q' : ...

    Text Solution

    |

  6. For each of the following compounds statements , first identify the co...

    Text Solution

    |

  7. For each of the following compounds statements , first identify the co...

    Text Solution

    |

  8. For each of the following compounds statements , first identify the co...

    Text Solution

    |

  9. For each of the following compounds statements , first identify the co...

    Text Solution

    |

  10. Let p : 'He is rich' and q : 'He is happy' be the given statements. Wr...

    Text Solution

    |

  11. Let p : 'He is rich' and q : 'He is happy' be the given statements. Wr...

    Text Solution

    |

  12. Let p : 'He is rich' and q : 'He is happy' be the given statements. Wr...

    Text Solution

    |

  13. Write the converse of the following statements : If you do all the e...

    Text Solution

    |

  14. Write the converse of the following statements: If a number is even t...

    Text Solution

    |

  15. Write the contrapositive of the statement : "If n is a prime number,...

    Text Solution

    |

  16. State the converse and contrapositive of each of the following stat...

    Text Solution

    |

  17. State the contrapositive of the following statements : If it is hot ...

    Text Solution

    |

  18. Given the following statements : If a quadrilateral is a parallelogr...

    Text Solution

    |

  19. Given the following statements : A:If the diagonals of a quadrilatera...

    Text Solution

    |

  20. Given the following statements : If the diagonals of a quadrilateral...

    Text Solution

    |