Home
Class 9
MATHS
Prove that the four triangles formed ...

Prove that the four triangles formed by joining in pairs, the mid-points of three sides of a triangle, are congruent to each other.

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

Prove that the figure obtained by joining the mid-points of the adjacent sides of a rectangle is a rhombus.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square, is also a square.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus.

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Show that the quadrialteral formed by joining the mid-points of the consecutive sides of a rhombus, is a rectangle.

In /_\ A B C ,\ /_A=30^@,\ /_B=40^@a n d\ /_C=110^@ . The angles of the triangle formed by joining the mid-points of the sides of this triangle are

Fill in the blanks to make the following statements correct The triangle formed by joining the mid-points of the sides of an isosceles triangle is .... The triangle formed by joining the mid-points of the sides of a right triangle is .......... The figure formed by joining the mid-points of consecutive sides of a quadrilateral is ....

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

    Text Solution

    |

  2. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |