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

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