Answer:
A''(20,12), B''(16,4) and C''(8,4).
Explanation:
We have a triangle ABC with the co-ordinates A(-2,0), B(-3,-2) and C(-5,-2).
1. Now, we see that translation of (7,3) i.e. 7 units to the left and 3 units up.
So, the new co-ordinates will be,
A' = (-2,0) + (7,3) = (-2+7,0+3) = (5,3)
B' = (-3,-2) + (7,3) = (-3+7,-2+3) = (4,1)
C' = (-5,-2) + (7,3) = (-5+7,-2+3) = (2,1)
2. Then, the triangle is dilated by the factor 4.
Thus, the final co-ordinates are,
A'' = 4 × (5,3) = (4×5,4×3) = (20,12)
B'' = 4 × (4,1) = (4×4,4×1) = (16,4)
C'' = 4 × (2,1) = (4×2,4×1) = (8,4).
Hence, the final coordinates are A''(20,12), B''(16,4) and C''(8,4).