The Cartesian Plane and Transformations

Year 7 Measurement and geometry WA7MMGTW8 5 pages · 34 questions Core

Year 7 The Cartesian Plane and Transformations Worksheet

Free Year 7 worksheet (WA7MMGTW8): four-quadrant Cartesian plane, translations, reflections in the axes and rotations. With key.

What's covered
  • Plotting and reading points in all four quadrants
  • Translating and reflecting shapes in the x- and y-axes
  • Rotating points and shapes about the origin

Updated Sep 2026 · No sign-up needed

About this worksheet

This free Year 7 Cartesian plane and transformations worksheet is written for the Western Australian curriculum and mapped to SCSA content description WA7MMGTW8. It targets one skill so students can practise until it sticks: by the end, students can say “I can plot points in all four quadrants and describe translations, reflections in the axes and rotations about the origin.”

What’s inside

  • Key idea box – a short explanation with worked examples to read before starting.
  • A · Fluency (16 questions) – quick practice to build accuracy.
  • B · Core (10 questions) – worded problems set in everyday Australian contexts.
  • C · Reasoning (4 questions) – explain, justify and spot the error.
  • D · Challenge (4 questions) – harder multi-step and problem-solving questions for students ready to stretch.
  • Separate marking key – every answer with working, plus mark allocations and marking criteria for reasoning questions.

Skills covered

  • Plotting and reading points in all four quadrants
  • Translating and reflecting shapes in the x- and y-axes
  • Rotating points and shapes about the origin

How to use this worksheet

Start with the Key idea box, then complete Section A without a calculator. Most students should attempt Sections B and C; Section D suits students aiming for the top of the class or preparing for accelerated or extension maths. The worksheet is marked out of 58, and the score box on the last page helps students see which section needs more practice.

Common mistakes to watch for

  • Swapping the x and y coordinates
  • Changing the wrong sign when reflecting
  • Rotating the wrong way
  • Moving only some vertices

Where this fits in the WA Year 7 sequence

The Cartesian Plane and Transformations sits in the Two-dimensional space and structures sub-strand of Measurement and geometry. It is one of a set of short, single-skill EduLift worksheets that split each Year 7 content description into sub-skills. Use the previous and next links to work through the sequence in order.

Common errors we see in tutoring

  • Swapping the x and y coordinates
  • Changing the wrong sign when reflecting
  • Rotating the wrong way
  • Moving only some vertices
Answer key (with worked solutions)

The answer key is a separate PDF with every question worked, not just the final answers.

Download the answer key (PDF)

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