Lesson G7
G7 Congruence and similarity by rotation, reflection, translation and enlargement Quiz: AQA Maths, Unit 4
20 questions
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Lesson G7, Congruence and similarity by rotation, reflection, translation and enlargement: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
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A point (3, 4) is reflected in the x-axis. Where is its image?
- (4, 3)
- (3, −4)
- (−3, −4)
- (−3, 4)
-
A point (3, 4) is reflected in the y-axis. Where is its image?
- (−3, 4)
- (3, −4)
- (−3, −4)
- (−4, 3)
-
A point (2, 5) is rotated 90 degrees clockwise about the origin. Where is its image?
- (2, −5)
- (5, −2)
- (−5, 2)
- (−2, −5)
-
A point (−1, 6) is rotated 180 degrees about the origin. Where is its image?
- (6, 1)
- (1, −6)
- (1, 6)
- (−1, −6)
-
A point (1, 3) is translated by the vector (4, −2). Where is its image?
- (−3, 5)
- (5, −5)
- (−3, 1)
- (5, 1)
-
A point (2, −1) is enlarged by scale factor 3 with centre the origin. Where is its image?
- (2, −3)
- (5, −4)
- (6, 3)
- (6, −3)
-
A point (8, 6) is enlarged by scale factor ½ with centre the origin. Where is its image?
- (4, 3)
- (16, 12)
- (2, 1.5)
- (8, 3)
-
Which transformation changes the size of a geometric shape?
- Translation
- Enlargement
- Reflection
- Rotation
-
Which transformation produces a shape that is similar but not congruent to the original?
- Rotation
- Enlargement
- Translation
- Reflection
-
A shape is enlarged by scale factor 2. How many times larger is its area?
- 2 times
- 4 times
- 6 times
- 8 times
-
Which single transformation maps the coordinate point (1, 3) to (−1, 3)?
- x-axis reflection
- y-axis reflection
- 180° rotation
- Translation
-
Which transformation maps point (2, 0) to (4, 0) and (0, 1) to (0, 2)?
- Rotation
- Reflection
- Translation
- Enlargement
-
What two properties must congruent shapes always share?
- Shape and size
- Area only
- Shape only
- Perimeter only
-
What is true about the corresponding angles of two similar shapes?
- They are equal
- They total 360°
- They are proportional
- They total 180°
-
A point (2, 5) is reflected in the line y = x. Where is its image?
- (−5, −2)
- (−2, 5)
- (5, 2)
- (2, −5)
-
(H) A point (3, −4) is enlarged by scale factor −2 with centre the origin. Where is its image?
- (−6, 8)
- (−6, −8)
- (6, −8)
- (6, 8)
-
A point (5, 2) is translated to (9, −1). What is the translation vector?
- (4, −3)
- (14, 1)
- (4, 3)
- (−4, 3)
-
A shape with area 12 cm² is enlarged by scale factor 3. What is its new area?
- 108 cm²
- 36 cm²
- 324 cm²
- 4 cm²
-
A point (4, 0) is rotated 90 degrees anticlockwise about the origin. Where is its image?
- (−4, 0)
- (0, 4)
- (0, −4)
- (4, 0)
-
How do you find the centre of enlargement using corresponding vertices?
- Distance between vertices
- Intersection of lines
- Midpoint of lines
- Perpendicular bisector
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