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Rotational Symmetry

Part of the Transformations & Constructions section of Coddy's Geometry journey. Lesson 27 of 61.

A shape has rotational symmetry when turning it about its center, less than a full turn, makes it look the same. The order is how many times it looks the same during one full turn, counting the full turn itself.

$A square with its center O$

A square looks the same after a quarter turn, a half turn, three quarters and the full turn: order 4. An equilateral triangle matches every third of a turn: order 3. A shape that only matches after the full turn, such as a scalene triangle, has order 1, which means no rotational symmetry.

Challenge

ABCD is a parallelogram. Give its order of rotational symmetry, then press Check.

Try it yourself

$Move the shape onto its target$

Move the shape onto its target

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Transformations & Constructions

1Translations

Sliding a Shape Draw the Image Image Coordinates The Translation Rule Recap: Translations

4Combining Moves

One Move, Then Another Order Matters Two Mirrors Name the Move Recap: Combining Moves

7Drawing on Squared Paper

Lengths by Pythagoras Perpendicular Steps Squares by Area Right Triangles by Area Midpoints on the Grid Recap: Squared Paper

10Perpendiculars and Parallels

Perpendicular From a Point Perpendicular at a Point Parallel Through a Point Tools You Have Earned Recap: Parallels

3Rotations

Turning About a Point The Half Turn Quarter-Turn Rules A Center Off the Origin Recap: Rotations

6Symmetry

Lines of SymmetryRotational SymmetryRegular Polygons Symmetry Is a Move Recap: Symmetry

9Bisectors

The Perpendicular Bisector The Midpoint Bisecting an Angle Half of 60°Recap: Bisectors

12Final Challenges

Final: Footprints Final: Two Moves, One Rule Final: Mirror on the Grid Final: The Fair Well Final: The Tangent Road