find the co ordinates of the points of trisection of the line segment joining (2,-2) and (-7,4)
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Answer:
(-1, 0) and (-4, 2)
Step-by-step explanation:
Points of trisection would be two points that divide the line segment into three equal portions.
let (2,-2) be A and (-7,4) be B.
the points of trisection are P and Q.
A P Q B
.___.___.___.
For P, Ratio = 1:2
Point P has coordinates (2)(2)+(1)(-7)/3, (2)(-2)+(1)(4)/3
=(-1,0)
For Q, Ratio= 2:1
Point Q has coordinates (1)(2)+(2)(-7)/3, (1)(-2)+(2)(4)/3
=(-4, 2)
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