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 Ortho Center
Ques: Translate the book O (0, 0) down 3 units and right 4 units. What are the coordinates of its ../image_md 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).