# 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.

Q1:

The point has been translated three right and three down. What are the coordinates of the image?

• A
• B
• C
• D
• E

Q2:

Start with point . Translate it by 5 units to the left and 2 units up. Follow this with a translation of 5 units to the right and 4 units up. What are the new coordinates?

• A
• B
• C
• D
• E

Q3:

Determine the coordinates of the image of point of quadrilateral after a translation 5 units left and 3 units down. • A
• B
• C
• D
• E

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, , ,

Q16:

The coordinates of point and its image after a translation are illustrated in the graph below. Describe this translation in words. • A12 units left and 4 units up
• B12 units right and 4 units down
• C12 units right and 4 units up
• D4 units right and 12 units up
• E12 units left and 4 units down

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, , ,

Q20:

Find the coordinates of the image of under the translation .

• 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