Consider a triangle with co-ordinates points: A(0, 0), B(3, 3) and C(2, 5).…

To find the new coordinates, you apply the scaling factors to each original (x, y) coordinate. The scaling transformation for a point (x, y) with scaling factors Sx and Sy is given by:

$$x' = x \cdot S_x$$

$$y' = y \cdot S_y$$

Given Parameters:

Scaling factors: Sx = 2 and Sy = 4.

Step-by-Step Calculation:

1. Point A(0, 0):

   • x' = 0 \cdot 2 = 0

   • y' = 0 \cdot 4 = 0

   • New Point A' = (0, 0)

2. Point B(3, 3):

   • x' = 3 \cdot 2 = 6

   • y' = 3 \cdot 4 = 12

   • New Point B' = (6, 12)

3. Point C(2, 5):

   • x' = 2 \cdot 2 = 4

   • y' = 5 \cdot 4 = 20

   • New Point C' = (4, 20)

Final New Coordinates:

The new coordinates of the triangle are A'(0, 0), B'(6, 12), and C'(4, 20).