Question

Transform AABC by the following transformations:• Reflect across the line y = -X• Translate 1 unit to the right and 2 units down.7BА)-6521-8-7-6-54-3-2-1027583-1-2-3-4-5-6-7-8Identify the final coordinates of each vertex after both transformations:A" (B"(C" (

Answer 1

The Solution.

The given transformation is defined by the reflection below:

`(x,y)\rightarrow(-y,-x)`
`(-y,-x)+(+1,-2)=(-y+1,-x-2)`

Reflecting 1 unit to the right and 2 units down, we have

`(-y,-x)+(+1,-2)=(-y+1,-x-2)`

So, the required coordinates of the vertices are

`A(3,6)\rightarrow A^(\prime)(-6+1,-3-2)=A^(\prime)(-5,-5)`
`B(-2,6)\rightarrow B^(\prime)(-6+1,2-2)=B^(\prime)(-5,0)`
`C(3,-3)\rightarrow C^(\prime)(3+1,-3-2)=C^(\prime)(4,-5)`