About Origin: Challenge & Extension
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on rotations about the origin, specifically 90° clockwise, designed to challenge and extend Grade 8 students' understanding of geometric transformations.
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Full preview • 12 questions
About Origin: Challenge & Extension
Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Rotate the point (3, 4) 90° clockwise about the origin. What are the new coordinates?
[2 marks]2.
Plot and rotate the point (-2, 5) 90° clockwise about the origin. Write the new coordinates.
[2 marks]3.
Given the point (0, -7), rotate 90° clockwise around the origin. What are the resulting coordinates?
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working on the grid.
1.
A triangle has vertices at A(1, 2), B(4, 3), and C(2, 5). If the triangle is rotated 90° clockwise about the origin, what are the new coordinates of each vertex? Explain your reasoning.
[4 marks]2.
A rectangle has vertices at (2, 1), (5, 1), (5, 4), and (2, 4). Rotate it 90° clockwise about the origin. Describe the new position of the rectangle and verify the coordinates of at least two vertices.
[4 marks]C
Real-world Applications
Answer all questions. Use the grid for plotting and visualization.
1.
A drone flies from point (3, 2). It then rotates 90° clockwise about the origin and moves to a new point. If after rotation, the drone's position is (2, -3), where did it start? Explain your reasoning.
[3 marks]D
Challenge & Extension
Attempt these advanced problems. Show detailed solutions.
1.
A point P lies at (x, y) such that after a 90° clockwise rotation about the origin, it maps to (4, -2). Find the original coordinates of P.
[3 marks]2.
Construct a triangle with vertices at (1, 1), (4, 1), and (2, 3). Rotate it 90° clockwise about the origin. Describe the new triangle's position and verify the coordinates of each vertex.
[4 marks]E
Mixed Review
Solve the following questions involving rotation about the origin.
1.
Rotate the point (-5, 0) 90° clockwise. What are the new coordinates?
[2 marks]2.
A square with vertices at (1, 1), (1, 4), (4, 4), and (4, 1) is rotated 90° clockwise about the origin. List the new coordinates of all vertices.
[3 marks]F
Error Analysis
Identify the mistake in each scenario and correct it.
1.
A student rotates point (2, -3) 90° clockwise and states the new point as (-3, 2). Is this correct? If not, what is the correct coordinates?
[2 marks]2.
A student incorrectly applies a rotation by reversing the coordinates without considering the sign change. For point (4, -1), what is the correct rotated position?
[2 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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet