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write the coordinates of the vertices after a translation 1 unit left a…

Question

write the coordinates of the vertices after a translation 1 unit left and 1 unit up. q ( ) r ( ) s ( )

Explanation:

Step1: Determine the original coordinates

  • For point \(Q\): The original coordinates are \((0,-8)\)
  • For point \(R\): The original coordinates are \((8,-8)\)
  • For point \(S\): The original coordinates are \((1,-10)\)

Step2: Apply the translation rule

The translation rule is \( (x,y)\to(x - 1,y+1)\)

  • For point \(Q\):

\(x=0,y = - 8\)
\(x'=0-1=-1,y'=-8 + 1=-7\)

  • For point \(R\):

\(x = 8,y=-8\)
\(x'=8-1 = 7,y'=-8 + 1=-7\)

  • For point \(S\):

\(x=1,y=-10\)
\(x'=1-1=0,y'=-10 + 1=-9\)

Answer:

\(Q'(-1,-7)\)
\(R'(7,-7)\)
\(S'(0,-9)\)