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

This topic focuses on practicing the translation of points on a Cartesian grid. Each problem presents a point in two-dimensional space, alongside a vector by which the point should be translated. Students are required to apply the translation vector to the original coordinates to determine the new position. Multiple-choice answers are provided for each translation exercise, helping students verify their answers and understand the concept of vector translations in a plane. The topic is part of a larger unit on introductory Cartesian grid transformations.

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

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

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