# Worksheet: Translations on a Coordinate Plane

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: **

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

- A yes
- B no

**Q8: **

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

- Areflection
- Brotation
- Chorizontal stretching
- Dtranslation

**Q9: **

What is the translation that will move point to point ?

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

**Q10: **

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?

- A a translation of ten right and eight down
- B a translation of eleven right and eight up
- C a translation of eleven left and eight down
- D a translation of eleven right and four up
- Ea translation of twelve right and nine up

**Q11: **

What is the name of the transformation that slides figures without flipping or rotating them?

- Areflection
- Brotation
- Cdilation
- Dtranslation
- Ehorizontal stretching

**Q12: **

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

- A
- B
- C
- D
- E

**Q13: **

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

**Q14: **

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

- A
- B
- C
- D
- E

**Q15: **

Farida 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?

- A no
- B yes

**Q16: **

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

**Q17: **

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

- A
- B
- C
- D
- E

**Q18: **

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

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

**Q20: **

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

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

**Q21: **

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

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

**Q22: **

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

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

**Q24: **

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

- A
- B
- C
- D

**Q25: **

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

- A
- B
- C
- D