Lesson G24
G24 describe translations as 2D vectors Quiz: Pearson Edexcel Maths, Unit 4
20 questions
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Lesson G24, describe translations as 2D vectors: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
How is a geometric translation represented in standard notation?
- Scalar multiplier
- Coordinate pair
- Column vector
- Matrix product
-
In the column vector x over y, what does x represent?
- Horizontal movement
- Rotational angle
- Vertical movement
- Diagonal movement
-
Which vector moves a point 3 units right and 2 units down?
- (3, −2)
- (2, 3)
- (3, 2)
- (−3, 2)
-
Point A(2, 5) is translated by the vector (4, −3). What are the coordinates of the image?
- (−2, 8)
- (2, 2)
- (6, 2)
- (6, 8)
-
A triangle has vertices (1, 1), (3, 1) and (1, 4). It is translated by (−2, 3). Where is the image of (3, 1)?
- (3, 4)
- (1, 4)
- (5, −2)
- (1, −2)
-
A point moves from A(−1, 2) to A′(3, −1) under a translation. Which vector describes the translation?
- (4, −3)
- (−4, 3)
- (2, −3)
- (4, 3)
-
The vector (5, 2) translates point P to (8, 6). Where was P before the translation?
- (13, 8)
- (3, 8)
- (3, 4)
- (8, 4)
-
A shape is translated by (−3, −1) and then by (2, 4). What single vector gives the same result?
- (−1, 3)
- (−5, −5)
- (−1, 5)
- (1, −3)
-
What properties of a shape change when it undergoes a translation?
- Position only
- Size and position
- Size and shape
- Orientation only
-
Which column vector moves no point at all?
- (0, 1)
- (0, 0)
- (1, 1)
- (1, 0)
-
A point moves from (−2, 7) to (5, 1) under a translation. What is the vector?
- (7, −6)
- (3, 8)
- (7, 6)
- (−7, 6)
-
Triangle A(0, 0), B(4, 0), C(0, 3) is translated by (2, −1). Where is the image of C?
- (−2, 2)
- (2, 2)
- (0, 2)
- (4, 2)
-
What is the vector from P(2, 3) to Q(5, 7)?
- (3, 4)
- (7, 10)
- (3, −4)
- (−3, −4)
-
A rectangle has corners (1, 1), (4, 1), (4, 3) and (1, 3). It is translated by (−1, 2). Where is the image of the corner (4, 3)?
- (5, 5)
- (5, 1)
- (3, 1)
- (3, 5)
-
A translation maps (2, −1) to (7, 3). What is the translation vector?
- (9, 2)
- (5, −4)
- (5, 4)
- (−5, −4)
-
A shape is translated by vector v and then by −v. Where does it end up?
- Opposite corner
- Origin coordinate
- Original position
- Doubled distance
-
A vector AB is (3, 4). What is the vector BA?
- (−3, 4)
- (4, 3)
- (−3, −4)
- (3, 4)
-
A shape is translated by (2, 0) three times in succession. What single vector gives the total movement?
- (3, 2)
- (0, 6)
- (6, 0)
- (2, 6)
-
A point P is translated by (4, −2) to give P′(9, −5). What are the coordinates of P?
- (13, −7)
- (5, −7)
- (−5, 3)
- (5, −3)
-
A translation maps the origin to the point (6, −2). What is the translation vector?
- (−6, 2)
- (2, −6)
- (0, 0)
- (6, −2)
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