Transformation Geometry
Overview
Transformations move, flip, turn or resize shapes on the coordinate plane. Understanding the four types and being able to describe them fully is a core Edexcel skill that appears frequently on both papers.
You will learn to perform and describe reflections, rotations, translations and enlargements. Three of these preserve the size of the shape (producing a congruent image), while enlargement changes the size (producing a similar image).
Objectives
- Understand that rotations are specified by a centre and an angle
- Rotate a shape about a point through a given angle
- Recognise that an anti-clockwise rotation is a positive angle of rotation and a clockwise rotation is a negative angle of rotation
- Understand that reflections are specified by a mirror line
- Construct a mirror line given an object and reflect a shape given a mirror line
- Understand that translations are specified by a distance and direction
- Translate a shape
- Understand and use column vectors in translations
- Understand that rotations, reflections and translations preserve length and angle so that a transformed shape under any of these transformations remains congruent to the original shape
- Understand that enlargements are specified by a centre and a scale factor
- Understand that enlargements preserve angles and not lengths
- Enlarge a shape given the scale factor
- Identify and give complete descriptions of transformations
Lesson Note
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Lesson Evaluation
Congratulations on completing the lesson on Transformation Geometry. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- Which transformation does NOT change the size of a shape? A) Enlargement B) Translation C) Both A and B D) Neither A nor B Answer: B
- A shape is rotated 90 degrees clockwise about the origin. The point (2, 5) maps to: A) (-5, 2) B) (5, -2) C) (-2, -5) D) (5, 2) Answer: B
- The column vector for a translation 4 left and 3 up is: A) (4, 3) B) (-4, 3) C) (4, -3) D) (-4, -3) Answer: B
- Reflecting (3, 7) in the x-axis gives: A) (-3, 7) B) (3, -7) C) (-3, -7) D) (7, 3) Answer: B
- An enlargement with scale factor 1/2 makes the shape: A) Twice as big B) Half the size C) The same size D) Inverted Answer: B
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Available on the Green Bridge App
Download the Green Bridge CBT app on your phone or computer to access full lesson notes, practice questions, and more.
Recommended Books
Practice Mock Questions
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