# 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.

**Q2: **

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

**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: **

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 ?

- 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 was translated 3 more squares to the right than point was.
- BPoint was translated 3 more squares to the right than point was.
- CPoint was translated 2 more squares to the right than point was.
- DPoint was translated 2 more squares to the right than point 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 to produce square as shown.

Fill in the blanks: He translated square 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