About a Point: Fluency & Practice
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept of Rotation 180° About a Point for Grade 6 students.
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Full preview • 11 questions
About a Point: Fluency & Practice
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Rotate the point (3, 4) 180° about the origin. What are the new coordinates?
[2 marks]2.
Plot the point (-2, 5) and rotate it 180° about the origin on the grid. Write the new coordinates.
[2 marks]3.
Construct a point at (6, -3). Rotate it 180° about the point (2, -1). What are the new coordinates?
[3 marks]4.
Explain the rule for rotating any point 180° about the origin. Use an example in your explanation.
[3 marks]5.
A shape is rotated 180° about a point P. How will the shape's position change relative to P? Explain in two sentences.
[3 marks]6.
On the grid, plot a point at (1, -2). Rotate it 180° about (0, 0). Write the coordinates of the new point.
[2 marks]7.
Construct a triangle with vertices at (2, 3), (4, 1), and (3, 4). Rotate the triangle 180° about the origin. What are the new coordinates of each vertex?
[4 marks]8.
Which of the following points, when rotated 180° about the origin, results in the point (5, -3)?
A) (5, -3)
B) (-5, 3)
C) (-5, -3)
D) (3, 5)
[1 mark]9.
A square has vertices at (1, 1), (1, 3), (3, 3), and (3, 1). Rotate it 180° about the point (2, 2). What are the new vertices?
[3 marks]10.
Identify and correct the mistake: A student says that rotating (2, -5) 180° about the origin gives (2, -5). Is this correct? Why or why not?
[2 marks]11.
Challenge: On a coordinate grid, you are given a point (x, y). Find the coordinates after rotating 180° about a point (a, b). Derive the general formula for the new coordinates.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet