name the type of polynomial formed by the points (4, 1), (4, 6), (6, 6) and, (6, 1) coordinate geometry i need step by step workouted for 3 marks
Answers
Given : polynomial formed by the points (4, 1), (4, 6), (6, 6) and, (6, 1)
To Find : type of polynomial formed
Solution:
A (4, 1), B (4, 6), C (6, 6) and, D (6, 1)
Slope of AB = ( 6 - 1) / (4 - 4) = 5/0
Slope of CD = ( 6 - 1) /(6 - 6) = 5/0
Slope of AB = Slope of CD
AB || CD
Slope of AD = ( 1- 1)/(6 - 4) = 0
Slope of BC = (6 - 6)/(6 - 4) = 0
Slope of of AD = Slope of BC
AD || BC
AB || CD and AD || BC
Hence Parallelogram
Slope of AB = 1/0 and slope of BC = 0
Hence they are perpendicular to each other
Hence its an rectangle as angles = 90°
AB = √(4 - 4)² + (6 - 1)² = 5
BC =√(6 - 4)² + (6 - 6)² = 2
AB ≠ BC so its not a square
Hence polynomial formed by the points (4, 1), (4, 6), (6, 6) and, (6, 1) is Rectangle
Learn More:
show that the quadrilateral formed by joining the midpoints of the ...
https://brainly.in/question/6287049
.The number of points p(x,y) with natural numbers as coordinates ...
https://brainly.in/question/16053965
