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Maths•JHS Geometry & Measurement

Transformations and vectors

Junior High 6 questions
AI-drafted from platform data — specialist review scheduledBy DigiTransact Mastermind editorial teamLast updated
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What transformations and vectors means

You learn how shapes move without changing size or shape. This helps you read diagrams, track positions on a grid, and answer geometry questions accurately.

What you will practise

  • Translate points and shapes using column vectors
  • Reflect shapes in the x-axis and y-axis
  • Rotate shapes about a fixed centre by a given angle
  • Describe the image of a shape after a transformation

Before you start

You should be able to read coordinates on a Cartesian grid and name basic shapes. You also need to understand positive and negative numbers.

Not confident yet? Work through Area, surface area and volume first.

Worked example

One question from this skill's own question bank, shown with its full working.

Question

The point (3, 2) is translated by the vector (2, −1). Its image is…

  • (5, 1)
  • (1, 3)
  • (5, 3)
  • (6, −2)
Answer: (5, 1)

Working: Add the components: (3 + 2, 2 + (−1)) = (5, 1).

Common mistakes to avoid

  • Adding the vector to only one coordinate instead of both coordinates
  • Changing the shape's size during a transformation, which should not happen
  • Mixing up reflection lines and reversing the wrong coordinate
  • Rotating the shape the wrong way or about the wrong centre

Curriculum and exam alignment

Ghana GES Basic 7 to 9 syllabusBECE

This topic usually appears in Junior High School geometry and measurement work as learners build skills for coordinate geometry and shape movement. It supports BECE preparation by training you to handle transformation questions on diagrams and grids.

Curriculum notes are a general guide to where this work normally sits. Always check the syllabus your school or examination body is currently using.

Related skills

Other JHS Geometry & Measurement skills in Maths, at the same point in the course.

Other Maths topics

Early NumeracyNumber BasicsSHS Core MathematicsUniversity MathematicsAlgebraGeometry

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Exams that assess transformations and vectors

Junior High work on this skill feeds directly into these exam papers. Each page lists the Maths topics that appear on it.

BECEBECE practice questionsFree BECE practice across the subjects at this stage, with worked answers.GESGES practice questionsFree GES practice across the subjects at this stage, with worked answers.WASSCEWASSCE practice questionsListed as a related subject on the WASSCE practice page.

How this page was produced

This text was drafted with AI assistance from the questions and topics already stored on the platform. A subject-specialist review is scheduled but has not yet been recorded, so we do not claim it here.

Written by
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Practise transformations and vectors

6 questions with a worked answer after every attempt, and a SmartScore that tracks how close you are to mastery.

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