GM4-8: Use the invariant properties of figures and objects under transformations (reflection, rotation, translation, or enlargement).

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Elaboration on this Achievement Objective

This means students will know invariant properties are those features of a figure that do not change as it is reflected, rotated, translated or enlarged.

 rotation stars.

Under rotation lengths, areas, angles do not change but orientation does.

 reflection signs.

Under reflection lengths, areas and angles do not change but orientation does.

translation cross.

Under translation lengths, areas, angles and orientation do not change.


Under positive enlargement angles and orientation do not change but lengths and areas do.

At Level Four students should be able to use the above invariant properties to create symmetrical patterns such as tessellations, logos and friezes, and to create enlarged copies of graphics.