# Worksheet: Translation in the First Quadrant

Q1:

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?

• A yes
• B no

Q2:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are and , determine the new coordinates for the third vertex.

 Vertex Coordinates 1 2 3 ( 8 , 3 ) ( 4 , 3 ) ( 3 , 1 5 )
• A
• B
• C
• D
• E

Q3:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are and , determine the new coordinates for the third vertex.

 Vertex Coordinates 1 2 3 ( 7 , 3 ) ( 3 , 1 0 ) ( 1 4 , 8 )
• A
• B
• C
• D
• E

Q4:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are and , determine the new coordinates for the third vertex.

 Vertex Coordinates 1 2 3 ( 1 , 7 ) ( 3 , 7 ) ( 5 , 1 5 )
• A
• B
• C
• D
• E

Q5:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are and , determine the new coordinates for the third vertex.

 Vertex Coordinates 1 2 3 ( 7 , 7 ) ( 1 1 , 1 1 ) ( 1 5 , 8 )
• A
• B
• C
• D
• E

Q6:

A triangular sign with vertices shown in the given table was moved. If the new coordinates for the first two vertices are and , determine the new coordinates for the third vertex.

 Vertex Coordinates 1 2 3 ( 1 3 , 1 5 ) ( 1 2 , 8 ) ( 1 3 , 1 3 )
• A
• B
• C
• D
• E

Q7:

Two points and have coordinates (7, 2) and (7, 5) respectively. is translated three right and two down to .

Determine the coordinates of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Is the length of greater than, less than, or equal to the length of ?

• Aequal to
• Bless than
• Cgreater than

Q8:

A triangular table was positioned with its corners at the coordinates , , and . It was later moved to new coordinates , , and . Describe the translation.

• A It was moved 2 units to the right and 12 units up.
• B It was moved 2 units to the right and 4 units down.
• C It was moved 2 units to the left and 12 units down.
• D It was moved 2 units to the left and 4 units up.

Q9:

A triangular table was positioned with its corners at the coordinates , , and . It was later moved to new coordinates , , and . Describe the translation.

• A It was moved 8 units to the right and 8 units up.
• B It was moved 4 units to the left and 2 units down.
• C It was moved 8 units to the left and 8 units down.
• D It was moved 4 units to the right and 2 units up.

Q10:

A triangular table was positioned with its corners at the coordinates , , and . It was later moved to new coordinates , , and . Describe the translation.

• A It was moved 18 units to the right and 10 units up.
• B It was moved 4 units to the left and 2 units down.
• C It was moved 18 units to the left and 10 units down.
• D It was moved 4 units to the right and 2 units up.

Q11:

A triangular table was positioned with its corners at the coordinates , , and . It was later moved to new coordinates , , and . Describe the translation.

• A It was moved 6 units to the right and 14 units up.
• B It was moved 2 units to the right and 4 units down.
• C It was moved 6 units to the left and 14 units down.
• D It was moved 2 units to the left and 4 units up.

Q12:

A triangular table was positioned with its corners at the coordinates , , and . It was later moved to new coordinates , , and . Describe the translation.

• A It was moved 9 units to the right and 16 units up.
• B It was moved 1 unit to the left and 4 units down.
• C It was moved 9 units to the left and 16 units down.
• D It was moved 1 unit to the right and 4 units up.

Q13:

A line segment with a length of 5 is translated three left and two down. What is the length of its image?

Q14:

Two intersecting lines are translated three left and eleven right. Is it possible for the images of the two lines to be parallel?

• Ano
• Byes

Q15:

Triangle has been translated to obtain triangle as seen in the given figure. Work out the perimeter of the triangle . Give your solution accurate to two decimal places.

Q16:

In the given figure, is a square, and all the interior squares are congruent. Find the image of after a translation of 3 cm in the direction of .

• A
• B
• C
• D

Q17:

In the given figure, is a square, and all the interior squares are congruent. Find the image of after a translation of 4.3 cm in the direction of .

• A
• B
• C
• D

Q18:

Describe the single transformation that would map triangle onto triangle in the given figure.

• A a translation seven left and two up
• B a translation two right and seven down
• C a translation seven right and two up
• D a translation seven right and two down
• Ea translation seven left and two down