Question

Given a square object with coordinate points A(0, 3), B(3, 3), C(3, ), D(0,0). Apply the scaling
parameter 2 towards X axis and 3 towards Y axis and obtain the new coordinates of the object​

Answer 1

Answer:

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Answer 2

Answer:

Thus, New coordinates of the square after scaling = A (0, 9), B(6, 9), C(6, 0), D(0, 0).

Explanation:

Solution-

 

Given-

Old corner coordinates of the square = A (0, 3), B(3, 3), C(3, 0), D(0, 0)

Scaling factor along X axis = 2

Scaling factor along Y axis = 3

 

For Coordinates A(0, 3)

 

Let the new coordinates of corner A after scaling = (Xnew, Ynew).

 

Applying the scaling equations, we have-

Xnew = Xold x Sx = 0  x 2 = 0

Ynew = Yold x Sy = 3 x 3 = 9

 

Thus, New coordinates of corner A after scaling = (0, 9).

 

For Coordinates B(3, 3)

 

Let the new coordinates of corner B after scaling = (Xnew, Ynew).

 

Applying the scaling equations, we have-

Xnew = Xold x Sx = 3  x 2 = 6

Ynew = Yold x Sy = 3 x 3 = 9

 

Thus, New coordinates of corner B after scaling = (6, 9).

 

For Coordinates C(3, 0)

 

Let the new coordinates of corner C after scaling = (Xnew, Ynew).

 

Applying the scaling equations, we have-

Xnew = Xold x Sx = 3  x 2 = 6

Ynew = Yold x Sy = 0 x 3 = 0

 

Thus, New coordinates of corner C after scaling = (6, 0).

 

For Coordinates D(0, 0)

 

Let the new coordinates of corner D after scaling = (Xnew, Ynew).

 

Applying the scaling equations, we have-

Xnew = Xold x Sx = 0  x 2 = 0

Ynew = Yold x Sy = 0 x 3 = 0

 

Thus, New coordinates of corner D after scaling = (0, 0).