Home
Class 10
MATHS
Prove that the quadrilateral with vertic...

Prove that the quadrilateral with vertices '(1,1),(5,1),(7,8),(3,8)' is a parallelogram.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    V PUBLICATION|Exercise QUESTION BANK|89 Videos

  • GEOMETRY AND ALGEBRA

    V PUBLICATION|Exercise QUESTION BANK|61 Videos

Similar Questions

Explore conceptually related problems

The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Prove that the quadrilateral got by joining these midpoints is a parallelogram.

The coordinates of the vertices of a quadrilateral taken in order are '(2,1)', '(5,3),(8,7),(4,9)'. i) Find the coordinates of the midpoints of all four sides. ii) Prove that the quadrilateral got by joining these mid points is a parallelogram.

Prove that the points (2,3), (7,5),(9,8), (4,6) are the corners of a parallelogram.

Can we draw a triangle of vertices (1,5), (5, 8) and (13, 14)?

Consider a quadrilateral whose vertices are A (- 4,2),B (2,6), C (8,5) and D (9,7) Find the mid point of the sides of the quadrilateral.

Find the area of the triangle with vertices at (2,7),(1,1),(10,8) using determinants.

The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Find the coordinates of the mid points of all four sides.

Find the area of the triangle whose vertices are (3,8),(-4,2) and (5,1)

Prove that the points. '(3,-2),(7,6)', '(-1,2),(-5,-6)' form the vertices of a rhombus.

V PUBLICATION-COORDINATES-QUESTION BANK
  1. Find the coordinates of the points of the circle of radius 5 and centr...

    Text Solution

    |

  2. If a circle is drawn with origin as centre ańd 5 radius, how many poin...

    Text Solution

    |

  3. Prove that the quadrilateral with vertices '(1,1),(5,1),(7,8),(3,8)' i...

    Text Solution

    |

  4. Find the area of the rhombus ABCD with coordinates of its vertices are...

    Text Solution

    |

  5. In the figure C is the centre of the circle with radius 5 units. Circl...

    Text Solution

    |

  6. In the figure semicircle with diameter AB passes through the point 'P'...

    Text Solution

    |

  7. A(1,2), B(6,4)' and 'C(8,9)' are the vertices of the parallelogram 'AB...

    Text Solution

    |

  8. A circle with centre as origin passes through the point '(6,0)'. a) Fi...

    Text Solution

    |

  9. a) Draw coordinate axes and mark the point '(2,4)'. Draw the circle of...

    Text Solution

    |

  10. A(5,3)' is a point on a line parallel to 'x' axis. a) Write the coord...

    Text Solution

    |

  11. In the figure, 'OABC' is a rectangle. 'A(12,0), C(0,5)' are two of it...

    Text Solution

    |

  12. Coordinates of the end. points of a' diameter of a circle are '(1,3)' ...

    Text Solution

    |

  13. a) Draw the 'x, y' axes and mark țe points 'A(-3,0), B(3,0)' b) Const...

    Text Solution

    |

  14. In the figure, 'BC' is paraliel to the 'x' axis. If the coordinates of...

    Text Solution

    |

  15. In the figure, the sides of the square are parallel to the axes and th...

    Text Solution

    |

  16. The centre of the circle is thé origin and the radius is 13. a) . C...

    Text Solution

    |

  17. In the picture, mid points of the sides of the rilateral 'A B C D' are...

    Text Solution

    |

  18. lin the figure, 'O A B C' is a rectangle and its breadth is 3. Write t...

    Text Solution

    |

  19. In the figure, 'P(2,1), Q(3,3), R(1,2)' are the midpoints of the sides...

    Text Solution

    |

  20. A circle with, centre (3,2) passes through the point (6,3). a) What i...

    Text Solution

    |