Symmetry & Transformations
📋 What it is
A transformation moves a shape: slide (translation), turn (rotation), flip (reflection) — size stays the same.
🗣️ Coach says
Transformations are how shapes move without changing size. Slide it, turn it, or flip it — it's still the same shape (congruent). Symmetry is when a flip or turn lands the shape right back on itself.
🧠 Memory hook
Slide = translation. Turn = rotation. Flip = reflection. All three keep size the same (congruent).
😂 Giggle
What do you call a shape that's gone missing?
A gone-agon!
😲 Whoa!
A snowflake has 6-fold symmetry — turn it 60° and it looks identical. That pattern comes straight from how water molecules bond.
✅ Quick check: You flip a shape across a line. Is the new shape the same size as the old one?
Say your answer out loud first — then reveal.
Yes — a reflection is a congruence, so size and shape stay identical (just mirrored).
Slides, turns and flips never change size — only position or orientation.
🪄 Trick question: A rotation of 360° — where does the shape end up?
Careful — think it through, then reveal.
Exactly where it started.
A full turn is 360°, returning every point to its original position.
🧪 Try it! (2 minutes)
Fold a paper heart in half — if the two sides match, it has line symmetry. Find its line.