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The point (4,1) undergoes the following three successive transformation 1 ) Reflection about the y=x-1 2) Translation through a distance 1 units along the positive direction of x-axis 3) Rotation through an angle is 45 about the origin in the anticlockwise direction Then the coordinates of the final point are

The point (4,1) undergoes the following three successive transformation 1 ) Reflection about the y=x-1 2) Translation through a distance 1 units along the positive direction of x-axis 3) Rotation through an angle is 45 about the origin in the anticlockwise direction Then the coordinates of the final point are

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1 Answers

Arun
25763 Points
2 years ago
Dear student
 
Reflection of (4,1) in x – y – 1 = 0
 
x -4/1 = y-1/-1 = -2(4-1-1)/2
 
x = 4 – 2 = 2
y = 1 + 2 = 3
 
now translation of 1 units in positive direction of x axis
hence coordinates = (3,3)
 
now anticlockwise 45 degree rotation means it will be on y axiss already ot is at 45 degree from origin.
hence coordinates (0, sqrt(18))
 

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