I need maths activity to verify section formula by graphical method
Answers
Section formula verified by graphical method
Step-by-step explanation:
1. Take a graph paper
2 . Draw the x - y axis intersecting at O ( origin )
3. Take two points A (2 , 4 ) and B (6 , 8 ) on the graph paper
4 . Join points A and B
5. Divide the segment AB in to 1: 3 ratio at point C ( using ruler and compass and set square )
6. Note down coordinate of C ( 3 , 5)
Find coordinate of C using section formula
A (2 , 4 ) and B (6 , 8 )
Ratio 1 : 3
C = ( 1 * 6 + 3 * 2)/(1 + 3) , ( 1 * 8 + 3 * 4)/(1 + 3)
=> C = ( 3, 5)
Coordinates of point C from Graph paper and using section formula are Same ( 3 , 5)
Hence Section formula verified
Try same with different coordinates and different ratio and verify
like this :
Take Coordinates of points A are ( 1 , 1)
Take Coordinates of points B are ( 6, 6)
Point C Divided AB into 2 :3 ratio
Note down Coordinates of point C from Graph paper ( 3 , 3)
using Section formula
(2 * 6 + 3 * 1)/(2 + 3) , (2 * 6 + 3 * 1)/(2 + 3)
= (12 + 3)/5 , ( 12 + 3)/5
= 15/5 , 15/5
= 3 , 3
Coordinates of point C using section formula ( 3 , 3)
Coordinates of point C from Graph paper and using section formula are Same ( 3 , 3)
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