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 onto triangle 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?

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