Translation of Point (Grid to Coordinates) in Two Dimensions (Vector) (Level 1)

This topic focuses on practicing the translation of points on a Cartesian grid in two dimensions, using vectors. It introduces the concept of moving points to new positions by applying given vectors to their coordinates. Each problem presents a specific point and a translation vector, asking the learner to determine the new coordinates after performing the translation. The skill developed here is fundamental in understanding transformations in a Cartesian coordinate system, with direct applications in both geometry and physics.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cartesian Grid - Translation of Point (Grid to Coordinates) in Two Dimensions (Vector) Worksheet

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Cartesian Grid - Translation of Point (Grid to Coordinates) in Two Dimensions (Vector)
1
An svg image showing a math problem
Translate this point by (0,-1)
a
(0,-4)
b
(-4,0)
2
An svg image showing a math problem
Translate this point by (1,1)
a
(3,3)
b
(-3,-3)
3
An svg image showing a math problem
Translate this point by (-1,1)
a
(0,0)
b
(-3,-1)
4
An svg image showing a math problem
Translate this point by (0,1)
a
(1,-3)
b
(-3,1)
5
An svg image showing a math problem
Translate this point by (1,-2)
a
(-4,2)
b
(4,2)
6
An svg image showing a math problem
Translate this point by (-2,0)
a
(3,4)
b
(-4,3)
7
An svg image showing a math problem
Translate this point by (2,0)
a
(-1,2)
b
(-2,-1)
8
An svg image showing a math problem
Translate this point by (2,-2)
a
(0,0)
b
(-3,1)