Finding Single Transformation: Error Analysis & Misconceptions
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and correcting misconceptions when combining transformations to find a single transformation. Includes error analysis, procedural practice, and real-world context.
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Finding Single Transformation: Error Analysis & Misconceptions
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A shape is translated 5 units right and then reflected across the y-axis. What is the single transformation that maps the original shape to the final position? Describe your reasoning.
[3 marks]2.
A triangle is rotated 90° clockwise about the origin, then translated 3 units up. Find the single transformation that achieves this. Show your working.
[3 marks]3.
A shape is reflected across the x-axis and then translated 4 units left. Students claim the combined transformation is a reflection across the x-axis and a translation. Identify and explain any misconception in this reasoning.
[2 marks]4.
Construct a transformation that maps a triangle to its image after a 180° rotation about the origin. Describe the transformation in terms of reflection(s) and/or rotation(s).
[2 marks]5.
A figure is translated 3 units right, then reflected across the y-axis, then translated 2 units down. What is the equivalent single transformation? Show your working.
[3 marks]6.
A shape undergoes a reflection over the y-axis followed by a translation 4 units right. Students mistakenly think this is a translation only. Explain the mistake and identify the actual single transformation.
[2 marks]7.
A pentagon is rotated 270° clockwise about the origin. Find the single transformation, and justify your answer.
[3 marks]8.
A shape is reflected across the x-axis and then translated 6 units right. A student claims these two steps are equivalent to a single reflection. Is this correct? Explain why or why not.
[2 marks]9.
Challenge: A shape is rotated 180° about the y-axis, then translated 5 units down. Find the single transformation and describe it clearly.
[3 marks]10.
A shape is translated 2 units left, then reflected across the y-axis, then translated 3 units up. A student suggests combining the translation and reflection into a single transformation. Is this correct? Provide reasoning and the actual single transformation if applicable.
[3 marks]11.
Identify the common mistake students make when combining two rotations about different centers. How can this misconception be corrected?
[2 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet