Home
Class 9
MATHS
l, m and n are three parallel lines in...

l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p (see Figure). Show that l, m and n cut off equal intercepts DE and EF on q also.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|67 Videos

  • RATIONALISATION

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

l, m and n are three parallel lines intersected by transversals p and q such that l, m and n cut off equal intercepts AB and BC on p (see Fig.). Show that l, m and n cut off equal intercepts DE and EF on q also

In Fig. l ,\ m\ a n d\ n are parallel lines intersected by transversal P at X ,\ Y\ a n d\ Z respectively. Find /_1,\ /_2\ a n d\ /_3

l\ a n d\ m are two parallel lines intersected by another pair of parallel lines p\ a n d\ q as shown in figure. Show that A B C~= C D A

In the given figure l ,\ m\ a n d\ n are parallel lines intersected by transversal p at X ,\ Y\ a n d\ Z respectively. Find /_1,\ /_2\ a n d\ /_3

In Fig. 51, l ,\ m\ a n d\ n\ are parallel lines intersected by a transversal p\ a t\ X , Y\ a n d\ Z respectively. Find /_1,\ /_2 and /_3. Give reasons.

l and m are two parallel lines intersected by another pair of parallel lines p and q as shown in figure. Show that triangle A B C~= triangle C D A .

In Figure, l ,\ m\ a n d\ n are parallel lines intersected by a transversal at X ,\ Y ,\ a n d\ Z respectively. Find /_1,\ \ /_2\ a n d\ /_3. Give reasons.

In the given figure, A B and C D are parallel lines intersected by a transversal P Q at L and M respectively, If /_C M Q=60^0 find all other angles in the figure.

In the given figure, A B\ a n d\ C D are parallel lines intersected by a transversal P Q at L and M respectively. If /_L M D=35^0 find /_P L A .

Find the equation of the straight line which passes though (1,-2)a n d cuts off equal intercepts on the axes.

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

    Text Solution

    |

  2. Prove that the four triangles formed by joining in pairs, the mid-p...

    Text Solution

    |

  3. l, m and n are three parallel lines intersected by transversals p an...

    Text Solution

    |

  4. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

    Text Solution

    |

  5. A B C is a triangle right angled at B ; a n d\ P is the mid-point o...

    Text Solution

    |

  6. P ,\ Q\ a n d\ R are, respectively, the mid points of sides B C ,\ C...

    Text Solution

    |

  7. In Figure, A D\ a n d\ B E are medians of A B C\ a n d\ B E||D F . Pr...

    Text Solution

    |

  8. In A B C ,A D is the median through A and E is the mid-point of A D ....

    Text Solution

    |

  9. In a A B C , find the measures of the angles of the triangle formed b...

    Text Solution

    |

  10. In Figure, A D is the median and D E||A B . Prove that B E is the medi...

    Text Solution

    |

  11. A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\...

    Text Solution

    |

  12. Show that the line segments joining the mid-points of the opposite s...

    Text Solution

    |

  13. Show that the quadrilateral formed by joining the mid-points of the ...

    Text Solution

    |

  14. A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\...

    Text Solution

    |

  15. The diagonals of a quadrilateral A B C D are perpendicular. Show that ...

    Text Solution

    |

  16. Show that the quadrilateral, formed by joining the mid-points of the s...

    Text Solution

    |

  17. In Figure, A B C D is a parallelogram. E\ a n d\ F are the mid-points ...

    Text Solution

    |

  18. A B C D is a parallelogram. P is a point on A D such that A P=1/3\ A D...

    Text Solution

    |

  19. P is the mid-point of side A B of a parallelogram A B C D . A line t...

    Text Solution

    |

  20. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

    Text Solution

    |