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Distance & Division Point

  •  English    12     Public
    Play this game to check your understanding of how to calculate the distance and division point of a line segment.
  •   Study   Slideshow
  • Calculate the distance between A(3, 7) and B(6, 11).
    5 units
  •  10
  • Determine the coordinates of the midpoint of AB given that A(-2, 5) and B(4, 9).
    M(1, 7)
  •  10
  • Calculate the area of the rectangle.
    60 square units
  •  15
  • The midpoint of line segment AB is (1, -2). If Point A is located at (-3, 4), determine the coordinates of Point B.
    B(5, -8)
  •  15
  • Given the endpoints A(2, 1) and B(6, 9), determine the coordinates of the division point that divides AB in the ratio 3:1 from Point A.
    D(5, 7)
  •  15
  • Given the endpoints A(-4, 7) and B(2, -2), determine the coordinates of the division point that divides AB in the ratio 2:1 from Point B.
    D(-2, 4)
  •  15
  • Point D is located 2/5 of the way from Point A(-1, 5) to Point B(9, 0). Calculate the coordinates of Point D.
    D(3, 3)
  •  15
  • Determine the perimeter of the triangle ABC given that A(-1, -2), B(1, 4), and C(5, -1).
    18.8 units
  •  20
  • The endpoints of the diameter of a circle are at A(-3, 2) and B(1, 5). Calculate the circumference of the circle. (C = π x d)
    15.7 units
  •  20
  • Point D is located 3/8 of the way along line segment AB from Point B. Given A(-5, 14) and B(19, -18), calculate the coordinates of Point D.
    D(10, -6)
  •  20
  • Point D(3, 5) is located 2/3 of the way along line segment AB from Point B. Given B(6, 7), determine the coordinates of Point A.
    A(-3, 1)
  •  20
  • The centre of a circle is at O(7, -3). Point B(2, 9) is on the circumference of the circle. Calculate the area of the circle. (A = πr^2)
    530.93 square units
  •  25