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Worksheet: Finding Translations on a Coordinate Plane

In this worksheet, we will evaluate your understanding of the concept of translation and practice applying it to a point or geometric shape followed by determining the coordinates of the translated image on the xy-plane.

Q1:

Write the translation that takes point to point.

  • A
  • B
  • C
  • D
  • E

Q2:

Write the translation that takes point to point.

  • A
  • B
  • C
  • D
  • E

Q3:

Write the translation that takes point to point.

  • A
  • B
  • C
  • D
  • E

Q4:

The coordinates of point and its image after a translation are illustrated in the graph below. Describe this translation in words.

  • A12 units left and 4 units down
  • B12 units left and 4 units up
  • C12 units right and 4 units up
  • D12 units right and 4 units down
  • E4 units right and 12 units up

Q5:

The point in the attached figure has been translated to . Which of the following options describes this translation?

  • AIt is a translation of three left and three up.
  • BIt is a translation of four left and four up.
  • CIt is a translation of three right and three up.
  • DIt is a translation of three right and three down.
  • EIt is a translation of three left and three down.

Q6:

Determine the image of the two points and under the translation .

  • A,
  • B,
  • C,
  • D,

Q7:

The point in the attached figure has been translated to . Which of the following options describes this translation?

  • AIt is a translation of three right and three down.
  • BIt is a translation of four left and four down.
  • CIt is a translation of three left and three down.
  • DIt is a translation of three left and three up.
  • EIt is a translation of three right and three up.

Q8:

Determine the image of the two points and under the translation .

  • A,
  • B,
  • C,
  • D,

Q9:

Determine the image of the two points and under the translation .

  • A,
  • B,
  • C,
  • D,

Q10:

Find the images of the points and of the line segment under the translation .

  • A,
  • B,
  • C,
  • D,

Q11:

Find the images of the points and of the line segment under the translation .

  • A,
  • B,
  • C,
  • D,

Q12:

Find the images of the points and of the line segment under the translation .

  • A,
  • B,
  • C,
  • D,

Q13:

Find the coordinates of the point after it is translated units right and units up.

  • A
  • B
  • C
  • D
  • E

Q14:

A teacher drew a triangle on a sheet of paper at the points , , and and wanted to move the triangle 8 inches left and 8 inches down. If the sheet is 11 inches wide and 14 inches long, will the triangle still fit on the sheet?

  • Ano
  • Byes

Q15:

In the figure below, determine the coordinates of the points , , , and , where is a translation of by .

  • A, , ,
  • B, , ,
  • C, ,