Solution

The correct answer is (0, 0), (6, 0), (0, 6), (6, 6)

Key PointsThe scaling operation does not change the origin (0,0).

When you apply the scale of 2 towards the x-axis to a point (x,y), you get (2*x, y) because you're scaling only on the x-axis.

Similarly, when you apply the scale of 3 towards the y-axis to a point (x,y), you get (x, 3*y) because you're scaling only on the y-axis.

So:

• (0,0) remains (0,0) because 0*scale is still 0 on both axes
• (0,2) becomes (0,2*3) = (0,6) because the y coordinate is multiplied by 3
• (3,0) becomes (3*2,0) = (6,0) because the x coordinate is multiplied by 2
• (3,2) becomes (32,23) = (6,6) because both the coordinates are scaled

The new coordinates of the rectangle are (0, 0), (0, 6), (6, 0), (6, 6)

Mistake Points Option 3 (0, 0), (6, 0), (0, 6), (6, 6) was sequence mistake but UGC consider it correct. correct order is (0, 0), (0, 6), (6, 0), (6, 6)