Euclid's Muse

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Search Results for “transformation”

By Irina Lyublinskaya
Proof by Shear Transformation
This app allows you to explore geometric proof that is a variation of the original Euclid’s proof. In this proof, the shear transformation is used to change the shapes without changing their areas.

Tags: Pythagorean-Theorem, shear-transformation, common-core, middle-school, geometry, proof

By Phil Todd
reflected clocks
A reflection for Hogmanay- a look at time forwards, backwards and upside down.

Tags: clock, reflection, transformation

By Phil Todd
Reflection Clock
Press the Reflect button to reflect the triangle in the minute hand. Press again to reflect the result in the second hand. Can you describe the motion of the second reflected image?

Tags: Clock, transformation, reflection, composition

By Duncan
Reflection Composition
Composition of reflection in two parallel lines. Can you match the combined reflections with a translation?

Tags: transformation, reflection, translation, common-core

By Duncan
Pool reflections
We look at the path of a pool ball as it bounces off 3 cushions

Tags: reflection, transformation

By Saltire Team
Combination of Reflections through Parallel Lines
Press Reflect twice. Now drag point I so the orange triangle lies over the image under the second reflection.  Can you describe another transformation equivalent to the two reflections?

Tags: reflections, translations, transformations

By Saltire Team
Combination of Reflections through Oblique Lines
Set the rotation angle and drag the center of rotation O so that the orange triangle sits on top of the image under the second reflection.  Can you describe another transformation equivalent to the two reflections?  

Tags: reflections, rotations


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