# Origin

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## 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).

### 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′?

##### 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).