An application can scale the flag by 0.5, by applying:
x' = 0.5x
y' = 0.5y
The original five points of the flag are transformed: (0,0) ─ (0,0)
(0,4) ─ (0,2)
(0,6) ─ (0,3)
(2,4) ─ (1,2)
(2,6) ─ (1,3)
The following figure shows the effect of the scaling.
Scaling by 0.5
This scaling preserves the shape and orientation of the object, because the scaling factors in both directions are the same. However, scaling equations permit different scaling factors to be applied to x and y, which can cause distortion of the original shape of the object.