Definition of Origin

The point of intersection of the altitudes of a triangle is called an orthocenter.

More About Origin

  • The coordinates of the origin are (0, 0).
  • Counting of the coordinates starts from the origin.

Example of Origin

  • In the figure, x and y axis are intersecting at 'O'.
  • This O is called the origin of the graph. Its coordinates are (0, 0).

Video Examples: Transformational Geometry Rotations around the Origin

Solved Example on Origin

Ques: Translate the book O (0, 0) down 3 units and right 4 units. What are the coordinates of its image O′?

    A. (4, - 3)
    B. (3, - 4)
    C. (- 3, 4)
    D. (4, - 3)
    Correct Answer: A


    Step 1: When (0, 0) is translated down 3 units, the y-coordinate becomes - 3, but the x-coordinate remains same.
    Step 2: After translating (0, - 3) to 4 units right, the x-coordinate of the point becomes 4, but the y-coordinate remains same.
    Step 3: So, the coordinates of the new point O' are (4, - 3).

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