origin


Definition of Origin

  • Origin is the point of intersection of x and y axis.

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).

Solved Example on Origin

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

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

Related Terms for Origin

  • Cartesian Coordinates
  • Coordinate Plane
  • x-axis
  • y-axis