A triangle with coordinates A(7;2), B(5;3) and C(-1;3) represents a roof for 1 unit. To extend the roof to cater for 16 units you need to enlarge the roof using (y+3;x+3). Calculate the coordinates of the enlarged roof.
Accepted Solution
A:
To enlarge the roof by a factor of 16, we need to apply the transformation (y + 3, x + 3) to each of the original coordinates (x, y). This transformation involves adding 3 to the x-coordinates and 3 to the y-coordinates. Let's calculate the coordinates of the enlarged roof:
Original Coordinates:
A(7, 2)
B(5, 3)
C(-1, 3)
Transformation: (y + 3, x + 3)
Enlarged Coordinates:
A': (2 + 3, 7 + 3) = (5, 10)
B': (3 + 3, 5 + 3) = (6, 8)
C': (3 + 3, -1 + 3) = (6, 2)
So, the coordinates of the enlarged roof are:
A'(5, 10)
B'(6, 8)
C'(6, 2)