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Lesson: Applying Translation in the First Quadrant

In this lesson, we will learn how to apply translation of a point or a polygon and deduce the magnitude and the direction of translation.

Question Video: Identifying the Coordinates of a Point Following a Translation

01:26

Worksheet: Applying Translation in the First Quadrant • 24 Questions

Q1:

Which diagram shows two triangles where one is a translation of the other?

  • A
  • B
  • C
  • D

Q2:

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

  • A a translation seven right and two down
  • Ba translation seven left and two down
  • C a translation two right and seven down
  • D a translation seven right and two up
  • E a translation seven left and two up

Q3:

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

  • A
  • B
  • C
  • D
  • E

Q4:

Start with point . Translate it by 2 units to the right and 2 units up. Follow this with a translation of 4 units to the right and 3 units down. What are the new coordinates?

  • A
  • B
  • C
  • D
  • E

Q5:

Start with point . Translate it by 5 units to the right and 3 units up. Follow this with a translation of 5 units to the left and 4 units up. What are the new coordinates?

  • A
  • B
  • C
  • D
  • E

Q6:

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

  • A , , ,
  • B , , ,
  • C , , ,
  • D , , ,
  • E , , ,

Q7:

The points , , , are moved up by 3 units. What are the new coordinates?

  • A , , ,
  • B , , ,
  • C , , ,
  • D , , ,
  • E , , ,

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 4 units to the right and 2 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 8 units to the right and 8 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 4 units to the right and 2 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 18 units to the right and 10 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 2 units to the left and 4 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 6 units to the right and 14 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 1 unit to the right and 4 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 9 units to the right and 16 units up.

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:

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 1 2 3
Coordinates
  • A
  • B
  • C
  • D
  • E

Q14:

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 1 2 3
Coordinates
  • A
  • B
  • C
  • D
  • E

Q15:

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 1 2 3
Coordinates
  • A
  • B
  • C
  • D
  • E

Q16:

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 1 2 3
Coordinates
  • A
  • B
  • C
  • D
  • E

Q17:

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 eleven right and four up
  • Ba translation of twelve right and nine up
  • C a translation of eleven right and eight up
  • D a translation of eleven left and eight down
  • E a translation of ten right and eight down

Q18:

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 ?

  • Agreater than
  • Bequal to
  • Cless than

Q19:

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

Q20:

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

  • Ayes
  • Bno

Q21:

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

Q22:

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

Q23:

Scarlett 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 yes
  • B no

Q24:

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 no
  • B yes
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