Sonia ans Asha planted some trees in a square garden. Both were arguing that they have planted them in a straight line. Find which of them is correct. Justify. If coordinates of sonia's plants are:S1(2,1);S2(4,3);S3(6,5) and asha's plants:A1(2,3);A2(3,4);A3(4,6)
Answers
Sonia have planted in straight line
Step-by-step explanation:
coordinates of
sonia's plants are: S₁(2,1); S₂(4,3); S₃(6,5) and
asha's plants: A₁(2,3); A₂(3,4); A₃(4,6)
S₁(2,1); S₂(4,3); S₃(6,5)
Slope S₁ & S₂ = (3 - 1)/(4 - 2) = 1
Slope S₁ & S₃ = (5 - 1)/(6 - 2) = 1
Slope S₂ & S₃ = (5 - 3)/(6 - 4) = 1
Same slope
Hence S₁(2,1); S₂(4,3); S₃(6,5) are in a straight line
Sonia have planted in straight line
A₁(2,3); A₂(3,4); A₃(4,6)
Slope A₁ & A₂ = (4 - 3)/(3 - 2) = 1
Slope A₁ & A₃ = (6 - 3/(4 - 2) = 1 .5
Slope A₂ & A₃ = (6 - 4)/(4 - 3) = 2
Slope are different
Hence A₁(2,3); A₂(3,4); A₃(4,6) are not in a straight line
Sonia have planted in straight line
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