How can congruence support interpretation of symmetry?

Students analyze shapes through symmetry and congruence.

Symmetrical shapes can be mapped by any combination of reflections and rotations.

A tessellation is the tiling of a plane with symmetrical shapes.

Tessellations are evident in First Nations and Métis star blanket designs that convey a specific purpose.

Shapes related by symmetry are congruent to each other.

Congruent shapes may not be related by symmetry.

Symmetry is a relationship between two shapes that can be mapped exactly onto each other through reflection or rotation.

Congruence is a relationship between two shapes of identical size and shape.

Congruence is not dependent on orientation or location of the shapes.