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Transform AABC by the following transformations:• Reflect across the line y = -X• Translate 1 unit to the right and 2 units down.87BА )5421-B-7-6-5-4-301245678- 1-2.-3-5-6-7-8Identify the final coordinates of each vertex after both transformations:A"B"(C"

Transform AABC by the following transformations:• Reflect across the line y = -X• Translate 1 unit to the right and 2 units down.87BА )5421-B-7-6-5-4-301245678- class=

Answer :

SOLUTION

A reflection on the line y = -x is gotten as

[tex]y=-x\colon(x,y)\rightarrow(-y,-x)[/tex]

So, the coordinates of points A, B and C are

A(3, 6)

B(-2, 6)

C(3, -3)

Traslating this becomes

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

Now translate 1 unit to the right and 2 units down becomes

[tex]\begin{gathered} A^{\prime}(-6,-3)\rightarrow A^{\doubleprime}(-5,-5) \\ B^{\prime}(-6,2)\rightarrow B^{\doubleprime}(-5,0) \\ C^{\prime}(3,-3\rightarrow C^{\doubleprime}(4,-5) \end{gathered}[/tex]

So, I will attach an image now to show you the final translation.

${teks-lihat-gambar} KiyanE442082

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