Home
Class 10
MATHS
Prove that the line segment joining the ...

Prove that the line segment joining the mid-point of two transverse sides of a trapezium is parallel to its parallel sides.

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.1|32 Videos

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

  • SAMPLE QUESTIONS PAPERS

    CALCUTTA BOOK HOUSE|Exercise QUESTION|157 Videos

  • SIMPLE INTEREST

    CALCUTTA BOOK HOUSE|Exercise Long-answer type questions|37 Videos

Similar Questions

Explore conceptually related problems

Prove that the line segment joining the mid-points of the lateral sides of any trapezium is parallel to any of its parallel sides.

Prove that the line segment obtianed by joining the midpoints of two transversed sides of a trapezium is parallel to the parallel sides of the trapezium.

Prove by vector method that the line segment joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides and equal to half of their difference.

By vector method prove that the straight line joining the midpoints of two non-parallel sides of a trapezium is parallel to the parllel sides and half of their sum.

By vector method prove that the straight line joining the mid-points of the diagonals of a trapezium is parallel ot the parallel sides and half of their difference.

Using vector properties, show that, a straight line obtained by joining the mid-points of the oblique sides of a trapezium is parallel to the parallel sides of the trapezium and is equal to half of the sum of lengths of the parallel sides.

Using vectors , prove that the line joining the midpoints of two sides of a triangle, is parallel to the base and half its length.

Prove that a line joining the midpoints of any two sides of a triangle is parallel to the third side. (Using converse of basic proportionality theorem)

Using vector method show that the line joining the middle points of two sides of a triangle is parallel and half of the third side.

Show that the line segments joining the midpoints of the opposite sides of a quadrilateral and bisect each other.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.2
  1. Prove that the line segment joining the mid-point of two transverse si...

    Text Solution

    |

  2. In DeltaPQR and DeltaDEF, (PQ)/(DE)=(QR)/(EF)=(RP)/(FD). Then which on...

    Text Solution

    |

  3. In DeltaABC and DeltaDEF if /B=/E and /C=/F, then which of the followi...

    Text Solution

    |

  4. In DeltaPQR and DeltaDEF,/Q=/E=42^(@), (PQ)/(DE)=(QR)/(EF) and if /F=6...

    Text Solution

    |

  5. In the right-angled triangles DeltaPQR and DeltaDEF, /Q=/E= right angl...

    Text Solution

    |

  6. DeltaABC and DeltaBDE are two equilateral triangles. If D is the mid-p...

    Text Solution

    |

  7. If the ratio of the sides of two similar triangles be 4:9, then ratio ...

    Text Solution

    |

  8. DeltaPQR~DeltaDEF and their areas are 49 sq-cm and 121 sq-cm respectiv...

    Text Solution

    |

  9. Write the following sentences true or false: Any two identical image a...

    Text Solution

    |

  10. C and B are two points on the straight line XY, P is an external point...

    Text Solution

    |

  11. In DeltaPQR, a straight line parallel to QR intersects PQ and PR at th...

    Text Solution

    |

  12. Fill the blank :All (equilateral/isosceles) triangle are always ident...

    Text Solution

    |

  13. state true or false; Two equiangular triangles are always congruent.

    Text Solution

    |

  14. state true or false; If the two sides of two triangles are in proport...

    Text Solution

    |

  15. If the areas of two similar triangles be equal, they are .

    Text Solution

    |

  16. The ratio of the areas of two similar triangels is equal to the of the...

    Text Solution

    |

  17. Prove that the perimeters of two similar triangles are proportional to...

    Text Solution

    |

  18. AD is a perpendiuclar drawn from the vertex A of the right-angled tria...

    Text Solution

    |

  19. Fill the blank :All circles are(uniform/identical)

    Text Solution

    |

  20. Fill the blank :All square are(uniform/identical)

    Text Solution

    |

  21. Write the following sentences true or false: Any two identical figure ...

    Text Solution

    |