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MathidiaMathematics Academy
Transformations and vectors
Lesson 56 of 75
Introduction

Negative enlargements

Objective. Enlarge shapes using negative scale factors.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Negative enlargements develops a connected mathematical idea rather than an isolated trick. Use coordinates and vectors to describe geometric change. Begin by representing the quantities or relationships, choose a rule that fits, justify each transformation, and finish by checking units, signs, scale and whether the answer is reasonable.

Worked example

Which property is preserved by a rotation?

length and angle
Illustrated card showing length and angle
  1. 1Identify the known information, the unknown and any conditions.
  2. 2Choose a diagram, table, graph or algebraic representation that exposes the structure.
  3. 3Apply the relevant rule one justified step at a time, keeping exact values where useful.
  4. 4Check by substitution, inverse reasoning or estimation. The result is length and angle.

Answer: length and angle

Concept mastery

Based on your past attempts at this lesson — the question types to practise again come first.

Complete a practice set to see your concept breakdown here.

Practice

Practice happens on its own screen, one question at a time. Answers stay hidden until you submit yours, and you can stop and pick up at the same question later.

Start practising

Common mistake. A common error in negative enlargements is to copy a procedure without checking its conditions. Label the structure first and justify every sign, operation and unit.

Your progress

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