Question

2. Using the diagram below, translate the triangle 4 units to the right and 3 units down. What are the new coordinates for Point A', Point B' and Point c'?6543NB-61123 4 52.C-3-4-5-6O A(0,1) B'(-4,3) C(4,-2)O A(1,0) B'(-3,4) C(5-1)O A (1,0) B(-4,3) C(6,2)O A(0,1) B'(4-3) C'(-1,5)

Answer 1

Now, the coordinates of the original triangle is

`\begin{gathered} A(-4,4) \\ B(0,0) \\ C(-5,-2) \end{gathered}`

Translating 4 units to the right and 3 units down means we would add 4 to the x-coordinates and -3 to the y-coordinates, we have

`\begin{gathered} A(-4,4)\rightarrow(-4+4,4-3)\rightarrow(0,1) \\ B(0,0)\rightarrow(0+4,0-3)\rightarrow(4,-3) \\ C(-5,-2)\rightarrow(-5+4,-2-3)\rightarrow(-1,-5) \end{gathered}`

Hence the coordinates of the image becomes

`\begin{gathered} A^(\prime)(0,1) \\ B^(\prime)(4,-3) \\ C^(\prime)(-1,-5) \end{gathered}`

hence the answer is option D