Mirror Garden
A reflected point is the same perpendicular distance from the mirror line on the opposite side. Colours must also match in a symmetric design.
Before you try
Before you play, make a prediction: A vertical reflection changes… Explain what you expect and what part of the model will help you check it.
Try it out
Interactive activity
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What happened?
Move a control to see what changes and why.
The game practises one idea at a time with simple drawn pictures. Check the same idea with real objects and your NCERT textbook (Chapter 11: Fun with Symmetry, pages 164–174).
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Try these ideas
- Copy the coloured cells across the mirror without shifting them up or down.
- Try a new puzzle with ↻. Describe what changed and which mathematical rule stayed the same.
- Complete a round, then explain your method before you move to the next one.
Why it works
A reflected point is the same perpendicular distance from the mirror line on the opposite side. Colours must also match in a symmetric design.
A square two spaces left of a vertical mirror is copied two spaces right. Copy the coloured cells across the mirror without shifting them up or down.
Copying a design by sliding it across is not necessarily reflecting it. Reverse the horizontal positions.
This activity connects to Fun with Symmetry, NCERT Class 4 maths, printed pages 164–174. Use the picture or objects to explain each step before relying on a calculation. The game practises one part of the chapter at a time; the other three activities extend the chapter’s ideas.
Worked example: A coloured cell is two squares left of a vertical mirror. Where is its reflection? Keep the same row. Put the reflected cell two squares right of the mirror. Distance from the mirror stays equal.
Check your understanding
Question 1 of 2
A vertical reflection changes…
Does a non-square rectangle have diagonal symmetry lines?
Explain it in your own words
What changed? Why did it happen? Where might you notice this in everyday life?
For parents & teachers
- Try with everyday materials. Copy the coloured cells across the mirror without shifting them up or down. Ask the child to make a new example using paper, counters, household objects or a labelled sketch.
- Listen to the explanation. Copying a design by sliding it across is not necessarily reflecting it. Reverse the horizontal positions. Ask “How could we check?” and encourage a second representation of the same idea.