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Lesson: Finding Translations on a Coordinate Plane

Worksheet • 25 Questions

Q1:

In the figure below, determine the coordinates of the points 𝐴 β€² , 𝐡 β€² , 𝐢 β€² , and 𝐷 β€² , where 𝐴 β€² 𝐡 β€² 𝐢 β€² 𝐷 β€² is a translation of 𝐴 𝐡 𝐢 𝐷 by ( βˆ’ 2 , βˆ’ 5 ) .

  • A 𝐴 β€² ( 6 , 1 ) , 𝐡 β€² ( 6 , βˆ’ 4 ) , 𝐢 β€² ( βˆ’ 1 , βˆ’ 4 ) , 𝐷 β€² ( 1 , βˆ’ 1 )
  • B 𝐴 β€² ( 6 , 0 ) , 𝐡 β€² ( 6 , βˆ’ 5 ) , 𝐢 β€² ( βˆ’ 1 , βˆ’ 5 ) , 𝐷 β€² ( 1 , βˆ’ 2 )
  • C 𝐴 β€² ( 7 , 1 ) , 𝐡 β€² ( 7 , βˆ’ 4 ) , 𝐢 β€² ( 0 , βˆ’ 4 ) , 𝐷 β€² ( 2 , βˆ’ 1 )
  • D 𝐴 β€² ( 3 , 4 ) , 𝐡 β€² ( 3 , βˆ’ 1 ) , 𝐢 β€² ( βˆ’ 4 , βˆ’ 1 ) , 𝐷 β€² ( βˆ’ 2 , 2 )
  • E 𝐴 β€² ( 1 , 6 ) , 𝐡 β€² ( βˆ’ 4 , 6 ) , 𝐢 β€² ( βˆ’ 4 , βˆ’ 1 ) , 𝐷 β€² ( βˆ’ 1 , 1 )

Q2:

In the figure below, determine the coordinates of the points 𝐴 β€² , 𝐡 β€² , 𝐢 β€² , and 𝐷 β€² , where 𝐴 β€² 𝐡 β€² 𝐢 β€² 𝐷 β€² is a translation of 𝐴 𝐡 𝐢 𝐷 by ( 1 , βˆ’ 5 ) .

  • A 𝐴 β€² ( 3 , βˆ’ 3 ) , 𝐡 β€² ( 2 , βˆ’ 8 ) , 𝐢 β€² ( βˆ’ 3 , βˆ’ 7 ) , 𝐷 β€² ( βˆ’ 1 , βˆ’ 4 )
  • B 𝐴 β€² ( 3 , βˆ’ 4 ) , 𝐡 β€² ( 2 , βˆ’ 9 ) , 𝐢 β€² ( βˆ’ 3 , βˆ’ 8 ) , 𝐷 β€² ( βˆ’ 1 , βˆ’ 5 )
  • C 𝐴 β€² ( 4 , βˆ’ 3 ) , 𝐡 β€² ( 3 , βˆ’ 8 ) , 𝐢 β€² ( βˆ’ 2 , βˆ’ 7 ) , 𝐷 β€² ( 0 , βˆ’ 4 )
  • D 𝐴 β€² ( βˆ’ 3 , 3 ) , 𝐡 β€² ( βˆ’ 4 , βˆ’ 2 ) , 𝐢 β€² ( βˆ’ 9 , βˆ’ 1 ) , 𝐷 β€² ( βˆ’ 7 , 2 )
  • E 𝐴 β€² ( βˆ’ 3 , 3 ) , 𝐡 β€² ( βˆ’ 8 , 2 ) , 𝐢 β€² ( βˆ’ 7 , βˆ’ 3 ) , 𝐷 β€² ( βˆ’ 4 , βˆ’ 1 )

Q3:

In the figure below, determine the coordinates of the points 𝐴 β€² , 𝐡 β€² , 𝐢 β€² , and 𝐷 β€² , where 𝐴 β€² 𝐡 β€² 𝐢 β€² 𝐷 β€² is a translation of 𝐴 𝐡 𝐢 𝐷 by ( βˆ’ 1 , βˆ’ 2 ) .

  • A 𝐴 β€² ( 4 , 4 ) , 𝐡 β€² ( 5 , βˆ’ 1 ) , 𝐢 β€² ( 1 , βˆ’ 1 ) , 𝐷 β€² ( 0 , 2 )
  • B 𝐴 β€² ( 4 , 3 ) , 𝐡 β€² ( 5 , βˆ’ 2 ) , 𝐢 β€² ( 1 , βˆ’ 2 ) , 𝐷 β€² ( 0 , 1 )
  • C 𝐴 β€² ( 5 , 4 ) , 𝐡 β€² ( 6 , βˆ’ 1 ) , 𝐢 β€² ( 2 , βˆ’ 1 ) , 𝐷 β€² ( 1 , 2 )
  • D 𝐴 β€² ( 3 , 5 ) , 𝐡 β€² ( 4 , 0 ) , 𝐢 β€² ( 0 , 0 ) , 𝐷 β€² ( βˆ’ 1 , 3 )
  • E 𝐴 β€² ( 4 , 4 ) , 𝐡 β€² ( βˆ’ 1 , 5 ) , 𝐢 β€² ( βˆ’ 1 , 1 ) , 𝐷 β€² ( 2 , 0 )
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