Lesson Worksheet: Translations with Coordinates Mathematics

In this worksheet, we will practice describing translations in the first quadrant and stating the coordinates of points in the translated shape.

Q1:

If point 𝐴 has translated 3 squares to the right and 4 squares up, what are its new coordinates?

  • A(4,6)
  • B(4,5)
  • C(6,4)
  • D(5,5)
  • E(5,6)

Q2:

If point 𝐴 has translated 2 to the left and 8 up, what are its coordinates?

  • A(11,12)
  • B(9,12)
  • C(12,9)
  • D(4,9)
  • E(9,4)

Q3:

If point 𝐴 has translated 5 squares to the left and 3 squares down, what are its new coordinates?

  • A(3,3)
  • B(8,3)
  • C(8,9)
  • D(3,6)
  • E(3,9)

Q4:

Rectangle 𝐴𝐵𝐶𝐷 has been translated 3 right and 4 down. What are the new coordinates of the rectangle?

  • A𝐴(6,5), 𝐵(14,5), 𝐶(14,1), and 𝐷(6,1)
  • B𝐴(5,6), 𝐵(5,14), 𝐶(1,14), and 𝐷(1,6)
  • C𝐴(5,9), 𝐵(5,17), 𝐶(1,17), and 𝐷(1,9)
  • D𝐴(9,9), 𝐵(14,5), 𝐶(6,1), and 𝐷(14,1)
  • E𝐴(9,5), 𝐵(17,5), 𝐶(17,1), and 𝐷(9,1)

Q5:

Triangle 𝐴𝐵𝐶 has been translated three squares to the right and two squares down. What are its new coordinates?

  • A𝐴(4,1), 𝐵(7,4), and 𝐶(3,4)
  • B𝐴(7,1), 𝐵(10,4), and 𝐶(6,4)
  • C𝐴(1,7), 𝐵(4,10), and 𝐶(4,6)
  • D𝐴(7,3), 𝐵(10,6), and 𝐶(6,6)
  • E𝐴(3,7), 𝐵(6,10), and 𝐶(6,6)

Q6:

Point 𝐴 is in the position shown in the figure, and we want to move it to point (14,3). Which of the following represents the translation required?

  • A5 squares left and 8 squares up
  • B8 squares right and 5 squares down
  • C8 squares left and 5 squares up
  • D5 squares right and 8 squares down
  • E7 squares right and 5 squares down

Q7:

Square 𝐴𝐵𝐶𝐷 is in the position shown in the figure. If we want to move the square to a new position, 𝐴(3,10), 𝐵(3,7), 𝐶(6,7), and 𝐷(6,10), which of the following represents the translation required?

  • A1 left and 4 up
  • B4 right and 1 down
  • C1 right and 4 down
  • D1 left and 3 up
  • E4 left and 1 up

Q8:

Triangle 𝐴𝐵𝐶 is in the position shown in the figure. If we want to move the triangle to a new position 𝐴(3,6), 𝐵(6,1), and 𝐶(10,4), which of the following represents the translation required?

  • A3 squares left and 2 squares down
  • B2 squares right and 3 squares up
  • C2 squares left and 2 squares down
  • D3 squares right and 2 squares up
  • E2 squares left and 3 squares down

Q9:

Point 𝐴 is in the position shown in the figure, and we want to move it to point (9,8). Which of the following represents the translation required?

  • A4 squares right and 3 squares up
  • B3 squares left and 4 squares down
  • C4 squares left and 3squares down
  • D3 squares right and 4 squares up
  • E3 squares right and 3 squares up

Q10:

The triangle 𝐴𝐵𝐶 is shown. After a translation moving it 3 squares to the right and 1 square down, what are its new coordinates?

  • A𝐴(6,4), 𝐵(8,11), and 𝐶(11,7)
  • B𝐴(0,10), 𝐵(7,12), and 𝐶(3,15)
  • C𝐴(2,12), 𝐵(9,14), and 𝐶(5,17)
  • D𝐴(12,2), 𝐵(14,9), and 𝐶(17,5)
  • E𝐴(10,0), 𝐵(12,7), and 𝐶(15,3)

This lesson includes 16 additional questions and 117 additional question variations for subscribers.

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