Lesson Worksheet: Translations Mathematics • 8th Grade

In this worksheet, we will practice translating a point or a simple shape on a grid and describing a translation using up, down, right, and left.

Q1:

Describe the single transformation that would map triangle 𝐴𝐡𝐢 onto triangle 𝐴′𝐡′𝐢′ in the given figure.

  • Aa translation seven right and two down
  • Ba translation seven right and two up
  • Ca translation seven left and two down
  • Da translation seven left and two up
  • Ea translation two right and seven down

Q2:

A line segment with a length of 5 is translated three left and two down. What is the length of its image?

Q3:

Hannah wants to change the location of her rectangular desk. If she moves it only by a translation, will it fit exactly into one of the other corners of the room?

  • AYes
  • BNo

Q4:

Which diagram shows two triangles where one is a translation of the other?

  • A
  • B
  • C
  • D

Q5:

Sophia wants to change the location of her right-triangular desk. If she moves it only by a translation, will it fit exactly into one of the other corners of the room?

  • ANo
  • BYes

Q6:

Two lines were translated three right and two down. Their images were parallel, were the original two lines parallel or intersecting?

  • Aparallel
  • Bintersecting

Q7:

Two parallel lines are translated six right and five up. Are the resulting two lines parallel to each other, or do they intersect?

  • AThey are parallel.
  • BThey intersect.

Q8:

𝐴𝐡 is translated three left and five up. Is the length of the image resulting from this transformation greater than, less than, or the same as the length of 𝐴𝐡?

  • Athe same
  • Bgreater than
  • Cless than

Q9:

Sophia drew a polygon on a piece of graph paper. Now, she will translate it left and down to produce its image. Will the polygon and its image have the same shape?

  • AIt depends on how many units down she translates the polygon.
  • BIt depends on how many units left she translates the polygon.
  • CNo
  • DYes

Q10:

Two points were plotted on a grid. Then, each point was translated to the right to produce its image as shown.

Which statement is correct?

  • APoint 𝐴 was translated 3 more squares to the right than point 𝐡 was.
  • BPoint 𝐡 was translated 3 more squares to the right than point 𝐴 was.
  • CPoint 𝐡 was translated 2 more squares to the right than point 𝐴 was.
  • DPoint 𝐴 was translated 2 more squares to the right than point 𝐡 was.

Q11:

Liam will translate the square shown in the following figure 3 units down.

After the translation, how many units apart will the bottom of the square be from the top of its image?

Q12:

Ethan translated square π‘Šπ‘‹π‘Œπ‘ to produce square π‘Šβ€²π‘‹β€²π‘Œβ€²π‘β€² as shown.

Fill in the blanks: He translated square π‘Šπ‘‹π‘Œπ‘ left by and down by .

  • A7 units, 4 units
  • B4 units, 7 units
  • C4 units, 4 units
  • D4 units, 1 unit
  • E7 units, 1 unit

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