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