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Lesson: Applying Translation in the First Quadrant

Explains how to apply translation of a point or a polygon and deduce the magnitude and the direction of translation applied on a polygon in the first quadrant

Worksheet: Applying Translation in the First Quadrant • 24 Questions

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?

Ayes
Bno

Q2:

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

Aa translation seven left and two down
Ba translation seven right and two up
Ca translation seven right and two down
Da translation seven left and two up
Ea translation two right and seven down

Q3:

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

Q4:

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

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

Q5:

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

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

Q6:

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?

Q7:

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

Q8:

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

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 twelve right and nine up
Ba translation of eleven left and eight down
Ca translation of eleven right and four up
Da translation of ten right and eight down
Ea translation of eleven right and eight up

Q10:

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

Q11:

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

AIt was moved 9 units to the left and 16 units down.
BIt was moved 1 unit to the right and 4 units up.
CIt was moved 9 units to the right and 16 units up.
DIt was moved 1 unit to the left and 4 units down.

Q12:

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?

Ano
Byes

Q13:

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

Q14:

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

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

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

Q17:

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?

Q18:

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

Q19:

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

Determine the coordinates of and .

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

Aequal to
Bless than
Cgreater than

Q20:

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

AIt was moved 8 units to the left and 8 units down.
BIt was moved 4 units to the right and 2 units up.
CIt was moved 8 units to the right and 8 units up.
DIt was moved 4 units to the left and 2 units down.

Q21:

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

AIt was moved 18 units to the left and 10 units down.
BIt was moved 4 units to the right and 2 units up.
CIt was moved 18 units to the right and 10 units up.
DIt was moved 4 units to the left and 2 units down.

Q22:

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

AIt was moved 6 units to the left and 14 units down.
BIt was moved 2 units to the left and 4 units up.
CIt was moved 6 units to the right and 14 units up.
DIt was moved 2 units to the right and 4 units down.

Q23:

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 .

Q24:

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 .

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