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A translation maps ABC onto A'B'C'. Use the coordinates A(-3, 0), B(4, 2), B'(0, 0), and C'(6, 3) to determine the translation vector and thecoordinates of C.

A translation maps ABC onto ABC Use the coordinates A3 0 B4 2 B0 0 and C6 3 to determine the translation vector and thecoordinates of C class=

Respuesta :

Given that a translation maps triangle ABC onto A'B'C'.

with coordinates;

[tex]\begin{gathered} A(-3,0) \\ B(4,2) \\ B^{\prime}(0,0) \\ C^{\prime}(6,3) \end{gathered}[/tex]

Let us find the translation vector;

[tex]\begin{gathered} B(4,2)\rightarrow B^{\prime}(0,0) \\ \\ <0-4,0-2> \\ <-4,-2> \end{gathered}[/tex]

Therefore, the translation vector is;

[tex]<-4,-2>[/tex]

Solving for point C;

[tex]\begin{gathered} C(x,y)\rightarrow C^{\prime}(x-4,y-2)=C^{\prime}(6,3) \\ \\ x-4=6 \\ x=6+4 \\ x=10 \\ y-2=3 \\ y=3+2 \\ y=5 \\ C(10,5) \end{gathered}[/tex]

Therefore, the coordinate of C is;

[tex]undefined[/tex]

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