Question
Mathematics
3.1. Triangle $ABC$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 $\left(y+3;x+3\right)$(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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Let us assume that the vertices of the original triangle are $A\left(0,0\right)$A(0,0), $B\left(1,0\right)$B(1,0), and $C\left(0,1\right)$C(0,1), as shown in the diagram below.
To enlarge the triangle using $\left(y+3,x+3\right)$(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:
${A}^{\prime }=\left(0+3,0+3\right)=\left(3,3\right)$A^(')=(0+3,0+3)=(3,3)
${B}^{\prime }=\left(1+3,0+3\right)=\left(4,3\right)$B^(')=(1+3,0+3)=(4,3)
${C}^{\prime }=\left(0+3,1+3\right)=\left(3,4\right)$C^(')=(0+3,1+3)=(3,4)