Worksheet: Geometric Translations

In this worksheet, we will practice translating a point or a simple shape and practice describing a translation.

Q1:

Describe the single transformation that would map triangle 𝐴𝐵𝐶 onto triangle 𝐴𝐵𝐶 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:

Two intersecting lines are translated three left and eleven right. Is it possible for the images of the two lines to be parallel?

  • Ano
  • Byes

Q4:

In the given figure, 𝐴𝐵𝐶𝐷 is a square, and all the interior squares are congruent. Find the image of 𝐴𝐸 after a translation of 3 cm in the direction of 𝐺𝑋.

  • A 𝑀 𝑁
  • B 𝐷 𝑌
  • C 𝐸 𝐹
  • D 𝐹 𝐵

Q5:

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

Q6:

Triangle 𝐴𝐵𝐶 has been translated to obtain triangle 𝐴𝐵𝐶 as seen in the given figure. Work out the perimeter of the triangle 𝐴𝐵𝐶. Give your solution accurate to two decimal places.

Q7:

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

  • A
  • B
  • C
  • D

Q8:

Using congruence, determine the image of 𝐵𝐷𝐸 after a translation of magnitude 𝐵𝐸 in the direction of 𝐵𝐸.

  • A 𝐸 𝐹 𝐶
  • B 𝐷 𝐴 𝐹
  • C 𝐹 𝐸 𝐷

Q9:

If triangle 𝑇 is mapped to triangle 𝑇 by a translation, would the corresponding angles and sides in the triangle be equal?

  • Ano
  • Byes

Q10:

Scarlett 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

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