source:   transformation

source:  transformation

source:  transformation

Translation

To change the slide arrow:

• click the Mode button.

• change the slide arrow by clicking a dragging a red dot.

• click the Mode button.

source:  Applets for the Teacher

Reflection

To change the mirror line:

• click the Mode button.

• change the mirror line by clicking a dragging a red dot.

• click the Mode button.

source:  Applets for the Teacher

Rotation

To change the turn centre and/or angle of rotation:

• click the Mode button.

• change the turn centre and/or the angle of rotation by clicking and dragging the red dot.

• click the Mode button.

source:  Applets for the Teacher

Half Turns

Translational Symmetry

source:  Transformations

Change the length and direction of the translation by dragging point S.

The objects in the sketch can be changed. Change the shape of the black polygon by draggingthe red vertex. Change the Red Mirror Line angle by dragging the red point. Change the Blue Mirror Line angle by dragging the blue point.

What combination of reflections appear to be a translation?

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source:  translational symmetry student page

Translation Vectors

Reflection Symmetry

source:  Transformations

Change the mirror line by moving points A or B. Or change the shape by moving points c, d or e. What remains the same about the sketch?

Press "r" to reset the sketch.

Adapted from:    http://www.anglia.co.uk/education/mathsnet/dynamic/javasketchpad.html

alphabet reflections

Rotational Symmetry

source:  Transformations

Rotational Symmetry With the select tool, select the top point on the angle move it, making the angle get larger or smaller. What happens as the angle gets larger? What happens as the angle gets smaller?

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source:  Rotational symmetry student page