Write down the column vector that describes a translation 5 squares to the right and 3 squares down.
(1)
2
Write down the column vector that describes a translation 2 squares to the left and 6 squares up.
(1)
3
A translation is given by the column vector (0, -7). Describe this translation in words.
(1)
4
Carry out the addition of the two column vectors. (3, -2) + (-4, 5).
(2)
5
A triangle has vertices at A(2, 3), B(5, 3) and C(3, 6). Translate the triangle by the vector (-2, 4). Write the new coordinates of A, B and C.
(2)
6
On a square grid, shape S is translated by the vector (3, -4) to form shape T. If a vertex of S is at (5, 2), what are the coordinates of the corresponding vertex of T?
(2)
7
Enlarge the triangle with vertices (2, 1), (5, 1) and (2, 4) by scale factor 3 about the origin (0, 0). Write the coordinates of the image.
(3)
8
Enlarge the triangle with vertices (3, -2), (6, 2) and (3, 2) by scale factor 2 about the point (1, 0). Give the coordinates of the image.
(3)
9
A square with corners at (3, 3), (9, 3), (9, 9), (3, 9) is enlarged by scale factor 1/3 about the origin. Give the coordinates of the image.
(2)
10
Enlarge point P(5, 7) by scale factor 5 about the point (1, 2). Work out the image P'.
(2)
11
A translation is given by the column vector (4, 0). Describe this translation in words.
(1)
12
Translate the point (-3, -5) by the vector (6, 1). Write down the coordinates of the image.
(2)
13
A triangle with vertices (3, 3), (5, 3) and (3, 6) is first translated by (2, -2) then enlarged by scale factor 2 about the origin. Find the coordinates after both transformations.
(3)
14
Enlarge the rectangle with corners (2, 2), (6, 2), (6, 4), (2, 4) by scale factor 0.5 about the point (2, 2). Give the coordinates of the image.
(3)
15
The point Q is at (-2, 5). It is translated by (4, -7) then enlarged by scale factor 3 about the origin. Find the final coordinates.
(3)
16
A triangle has vertices at (3, 0), (5, 0) and (3, 4). It is enlarged by scale factor 4 about the point (3, 0). Give the coordinates of the image.
(3)
17
A pentagon has a vertex at (0, 3). It is enlarged by scale factor 2 about the origin.
(a)Verify that the image of this vertex after the enlargement is (0, 6).(1)
(b)The original pentagon (before enlargement) is instead translated by the vector (2, -5). Find the coordinates of this translated vertex, starting from the original point (0, 3).(2)
18
Priya says: "Enlarging a shape by scale factor 1 about any point always gives the same shape in the same place." Is Priya correct? Give a reason.
(3)
Mark scheme · KS3.M-G17D Transformations: Translation and Enlargement: Fluency and Exam Drill
Question 1
B1 Correct column vector (5, -3) cao
Answer: [5, -3] (or column vector (5, -3))
Question 2
B1 Correct column vector (-2, 6) cao
Answer: [-2, 6] (or column vector (-2, 6))
Question 3
B1 Description equivalent to "7 squares down" or "down 7" cao