Vectors: Translations & Column Vectors (Year 10)
Free printable UK Year 10 (GCSE Foundation) maths worksheet: describe a translation between two points as a column vector, and apply a given vector to translate a point or shape. Every answer computed.
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Grade 9 · Math worksheet
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Date
Math
Vectors: Translations & Column Vectors
Describe the translation between two points in compact column-vector notation (dx, dy)ᵀ, or apply a given column vector to translate a point (or a whole shape).
- 1.Point P is at (5, -2). Point P is translated to the image point P' at (3, 6). Write the translation in compact column-vector notation (dx, dy)ᵀ.
- 2.Point P is at (-2, -7). Point P is translated to the image point P' at (-10, -14). Write the translation in compact column-vector notation (dx, dy)ᵀ.
- 3.Point P is at (-7, 3). Point P is translated to the image point P' at (-5, -1). Write the translation in compact column-vector notation (dx, dy)ᵀ.
- 4.Point P is at (-2, -5). Point P is translated to the image point P' at (2, -2). Write the translation in compact column-vector notation (dx, dy)ᵀ.
- 5.Point P is at (6, 7). Point P is translated to the image point P' at (-1, -2). Write the translation in compact column-vector notation (dx, dy)ᵀ.
- 6.Point Q is at (8, -2). Q is translated by the vector (8, 3)ᵀ. Find the coordinates of the image point Q'.
- 7.Point Q is at (5, 0). Q is translated by the vector (-1, 2)ᵀ. Find the coordinates of the image point Q'.
- 8.Point Q is at (-1, -4). Q is translated by the vector (-5, 2)ᵀ. Find the coordinates of the image point Q'.
- 9.Point Q is at (4, -4). Q is translated by the vector (-1, 0)ᵀ. Find the coordinates of the image point Q'.
- 10.Point Q is at (7, -2). Q is translated by the vector (-2, 1)ᵀ. Find the coordinates of the image point Q'.
- 11.A shape has vertices A(1, -5) and B(6, 6). The whole shape is translated by the vector (0, 4)ᵀ. Find the coordinates of A' and B'.
- 12.A shape has vertices A(3, 2) and B(6, 5). The whole shape is translated by the vector (3, -2)ᵀ. Find the coordinates of A' and B'.
- 13.A shape has vertices A(1, -5) and B(5, 4). The whole shape is translated by the vector (1, -4)ᵀ. Find the coordinates of A' and B'.
- 14.A shape has vertices A(5, -4) and B(-2, 2). The whole shape is translated by the vector (-5, 1)ᵀ. Find the coordinates of A' and B'.
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