Rotation Effect: Challenge & Extension
Mathematics
GCSE Higher
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A challenging worksheet exploring the Rotation Effect in Enlargement with negative scale factors, aimed at GCSE Higher students. Includes procedural questions, reasoning, real-world contexts, and extension problems.
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Full preview • 10 questions
Rotation Effect: Challenge & Extension
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A shape is enlarged with a negative scale factor of -2 about the origin. Describe and draw the resulting shape after this enlargement, including its position relative to the original.
[4 marks]2.
Calculate the coordinates of point A(3, 4) after it is rotated 180° about the origin, then enlarged with a scale factor of -1/2.
[3 marks]3.
Plot the graph of y=−2x, then draw the image of the line after a rotation of 180° about the origin.
[3 marks]4.
Construct a triangle with vertices at (1,2), (3,4), and (5,0). Enlarge the triangle with a scale factor of -3 about the origin and rotate it 180°. Describe the new coordinates.
[4 marks]5.
A rectangle is reflected over the y-axis and then rotated 180° about the origin. If one vertex is initially at (2,5), what are its final coordinates?
[3 marks]6.
Explain why a shape enlarged with a negative scale factor and rotated 180° can produce the same image as a shape enlarged with a positive scale factor but reflected over the x-axis.
[4 marks]7.
A figure is enlarged with a scale factor of -1/3 about the origin, then rotated 180°. Find the image of the point (-6, 9).
[3 marks]8.
A triangle with vertices at (2, 1), (4, 3), and (6, 1) undergoes an enlargement with scale factor -2, followed by a 180° rotation about the origin. What are the coordinates of the vertices after these transformations?
[4 marks]9.
Identify and correct the mistake in this student’s reasoning: 'Rotating a shape 180° and enlarging it with a negative scale factor produce the same image because both invert the shape.'
[3 marks]10.
Challenge Question: A figure is enlarged with a negative scale factor of -4 about the origin, then rotated 180°. If the original point is at (7, -3), what are its final coordinates? Show all steps.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet