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Mathematics
3.1. Triangle A B C ABC on the Cartesian plane below represents a roof for one unit. To extend the roof to cater for 16 unit you need to enlarge the roof using ( y + 3 ; x + 3 ) (y+3;x+3). Calculate the coordinates of the enlarged root.
Pair 1
(2)
Pair 2
(2)
Pair 3
(2)
3.2. Use a different colour to draw the enlarged roof. On the Cartesian plane below
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As mentioned in the previous answer, we cannot determine the exact coordinates of the vertices of the enlarged triangle without the coordinates of the original triangle. However, we can outline the general process and use a sample triangle to demonstrate the enlargement.
Let us assume that the vertices of the original triangle are A ( 0 , 0 ) A(0,0), B ( 1 , 0 ) B(1,0), and C ( 0 , 1 ) C(0,1), as shown in the diagram below.
triangle

To enlarge the triangle using ( y + 3 , x + 3 ) (y+3,x+3), we will add 3 to the y y-coordinate and 3 to the x x-coordinate of each vertex, as per the formula provided in the question. This gives us the new vertices:
A = ( 0 + 3 , 0 + 3 ) = ( 3 , 3 ) A^(')=(0+3,0+3)=(3,3)
B = ( 1 + 3 , 0 + 3 ) = ( 4 , 3 ) B^(')=(1+3,0+3)=(4,3)
C = ( 0 + 3 , 1 + 3 ) = ( 3 , 4 ) C^(')=(0+3,1+3)=(3,4)
These are the coordinates of the vertices of the enlarged triangle. We can plot these points and draw the triangle using a different color, as instructed. The resulting diagram should look similar to the one below:
enlarged triangle
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