The coordinates of trisection of the line segment joining the points (2,-2) and (-7,4) *
2 points
(-1,0) (7,2)
(-4,2) (7,2)
(-1,0) (-4,2)
(-4,6) (3,-8)
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The coordinates of trisection of the line segment joining the points (2,-2) and (-7,4) *
2 points
(-1,0) (7,2)
(-4,2) (7,2)
(-1,0) (-4,2)
(-4,6) (3,-8)
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Answer:
Let A(7,−2) and B(1,−5) be the given points and P(x,y) and Q(x
′
,y
′
) are the points of trisection.
Step 1: Find the coordinate of P
Point P divides AB internally in the ratio 1:2
(x,y)=[
1+2
1(1)+2(7)
,
1+2
1(−5)+1(−2)
]
=(
3
1+14
,
3
−5−4
)=(
3
15
,
3
−9
)=(5,−3)
Step 2: Find the coordinate of Q.
Point Q is the mid-point PB.
(x
′
,y
′
)=((5+1)/2,(−3−5)/2)=(3,−4)
Step-by-step explanation: