# Lesson Worksheet: Translations on a Coordinate Plane Mathematics • 8th Grade

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

**Q4: **

Write the translation that takes point to point .

- A
- B
- C
- D
- E

**Q5: **

Find the image of a , where the coordinates of , , and are , , and , respectively, under the translation .

- A, ,
- B, ,
- C, ,
- D, ,
- E, ,

**Q6: **

Find the coordinates of the point after it is translated units left and units down.

- A
- B
- C
- D
- E

**Q7: **

The vertices of a triangle are mapped using the function . Which of the following single transformations has taken place?

- Ahorizontal stretching
- Btranslation
- Creflection
- Drotation

**Q8: **

What is the translation that will move point to point ?

- AA translation of three right and three up
- BA translation of three right and three down
- CA translation of three left and three down
- DA translation of three left and three up
- EA translation of four left and four up

**Q9: **

A figure has been translated three right and two down and then translated a further eight right and six up. What single transformation could have been used?

- Aa translation of ten right and eight down
- Ba translation of eleven right and eight up
- Ca translation of eleven right and four up
- Da translation of eleven left and eight down
- Ea translation of twelve right and nine up

**Q10: **

If a point with coordinates is translated three right and two down, determine the coordinates of the image.

- A
- B
- C
- D
- E

**Q11: **

What translation moves point to point ?

- AThe translation of three left and three up
- BThe translation of three right and three up
- CThe translation of four left and four down
- DThe translation of three left and three down
- EThe translation of three right and three down

**Q12: **

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

- A
- B
- C
- D
- E

**Q13: **

A translation maps a point two right and four down. Which of the following functions represents this transformation applied to a general point ?

- A
- B
- C
- D
- E

**Q14: **

In the given figure, has been translated to . What function would describe this transformation?

- A
- B
- C
- D
- E

**Q15: **

The points , , , are moved down by 7 units. What are the new coordinates?

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q17: **

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

- A,
- B,
- C,
- D,

**Q18: **

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

- A,
- B,
- C,
- D,

**Q19: **

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

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q21: **

Given that the translation of point by is , find the coordinates of .

- A
- B
- C
- D

**Q22: **

Find the image of the point under a translation of 13 units in the negative direction of the -axis.

- A
- B
- C
- D

**Q23: **

A table has the coordinates , , , and . Each unit represents feet. If the table is moved 2 feet to the left and , determine its new location.

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q24: **

If the image of the point by translation in the Cartesian plane is , find the rule of the translation.

- A
- B
- C
- D

**Q25: **

The point is translated one unit down to the point . What are the coordinates of ?

- A
- B
- C
- D
- E