Web-based Student Activities


Alphabet Geometry

Transformations

Students should be able to:

  • Predict and describe positions and orientations of two-dimensional shapes after transformations such as reflections, rotations, and translations.
  • Advanced Transformations - predict and describe the results of translations, reflections, and rotations of objects in the coordinate plane

Definition

The word transform means "to change." In geometry, a transformation changes the position of a shape on a coordinate plane. What that really means is that a shape is moving from one place to another. There are three basic transformations:

  • Flip (Reflection)
  • Slide (Translation)
  • Turn (Rotation)

Being able to visualize the movement of a shape is very important. The SMARTBoard mini-movies below show a letter, or a polygon (after all, block letters are really just polygons), in their original positions before being transformed. By clicking the play button, we are able to watch the path the letter takes while being transformed and see their ending positions after the slide, flip, or turn has taken place.




Flip (Reflection)

A FLIP takes place when a shape is flipped across a line and faces the opposite direction. Because the shape ends up facing the opposite direction, it appears to be reflected, as in a mirror. Hence the name REFLECTION.

reflection

Get Adobe Flash player

Click on the play button above to watch the letter N flip, or reflect. Click on the play button to watch it again.

Use this mini-movie on your Smartboard

Flip (Reflection)

A FLIP can also take place across a line in an up and down direction. In fact, a flip can take place in any direction. All you need to remember is the shape ends up facing the opposite direction and it appears to be reflected, as in a mirror. Hence the name REFLECTION.

reflection

Get Adobe Flash player

Click on the play button above to watch the letter T flip, or reflect. Click on the play button to watch it again.

Use this mini-movie on your Smartboard


More Alphabet Geometry: Angles | Parallel Lines | Tessellations | Symmetry
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Create Your Own Transformations


with the Symmetry Tool