Lesson G24
G24 Translations as 2D vectors Quiz: AQA Maths, Unit 4
20 questions
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Lesson G24, Translations as 2D vectors: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.
Host it live on the board and students join with a game code on their own devices, or revise alone with Free Play. The answers are revealed in the game.
The 20 questions
-
What does the column vector (3, -2) describe as a translation?
- 3 left and 2 down
- 3 right and 2 down
- 3 down and 2 right
- 3 right and 2 up
-
What translation does the vector (-4, 5) describe?
- 4 right and 5 down
- 4 left and 5 up
- 4 right and 5 up
- 4 left and 5 down
-
In the column vector (a, b), what does the top number represent?
- The direction angle
- The horizontal component
- The vertical component
- The magnitude
-
What translation does the vector (0, 4) describe?
- 4 units down
- 4 units right
- 4 units up
- No movement
-
The point (2, 3) is translated by the vector (1, -1). What are the coordinates of the image?
- (1, 2)
- (3, 4)
- (2, 3)
- (3, 2)
-
Which properties does a translation keep unchanged?
- Shape and size, not orientation
- Size and orientation, not shape
- Shape and position, not size
- Shape, size and orientation
-
Vector AB goes from A(1, 2) to B(4, 6). What is the column vector AB?
- (5, 8)
- (4, 6)
- (3, 4)
- (-3, -4)
-
What is the magnitude of the vector (3, 4)?
- 7
- 25
- 12
- 5
-
Triangle vertices (1, 1), (2, 1) and (1, 3) are translated by (4, -2). Where does the vertex (1, 3) move?
- (-3, 1)
- (3, 1)
- (5, 5)
- (5, 1)
-
Point P(-2, 7) is translated by the vector (5, -9). What are the coordinates of the image?
- (3, -2)
- (7, -2)
- (-7, 16)
- (3, 16)
-
A translation takes the point (6, 1) to the point (2, 8). What is the translation vector?
- (-4, 7)
- (-8, -9)
- (4, -7)
- (8, 9)
-
Which column vector translates the point (0, 0) to (-3, 5)?
- (-3, 5)
- (3, -5)
- (5, -3)
- (0, -3)
-
A shape is translated by (2, -3) and then by (-2, 1). What single translation is equivalent?
- (0, -2)
- (0, 2)
- (4, -4)
- (-4, 4)
-
Point C(7, -1) is translated to the point (4, 6). Which vector describes the translation?
- (3, -7)
- (-3, 7)
- (11, 5)
- (-11, -5)
-
A rectangle is translated by the vector (-1, 2). What is the distance each vertex moves?
- 1 unit
- sqrt(3) units
- sqrt(5) units
- 3 units
-
Which column vector describes a translation of 3 units right and no movement up or down?
- (3, 0)
- (0, 3)
- (3, 3)
- (-3, 0)
-
(H) The shape is translated by (-2, 4). Where does the point (5, -3) move?
- (7, -1)
- (-7, 1)
- (3, -7)
- (3, 1)
-
(H) A shape is translated by (2, 3) and then by (4, -1). What single translation vector is equivalent?
- (6, 2)
- (6, 4)
- (8, 3)
- (2, -4)
-
(H) A shape is translated by (1, 0) and then by (0, 2). Which single translation is equivalent?
- (2, 1)
- (0, 3)
- (1, -2)
- (1, 2)
-
(H) Point (2, 5) is translated by vector v and lands at (-1, 2). What is v?
- (-3, 3)
- (3, -3)
- (-3, -3)
- (3, 3)
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