Home · Unit 2 · Topic 5 · Transformations in the plane

Transformations in the plane

Use basic linear transformations — dilations of the form (x, y) → (kx, my), rotations about the origin and reflection in a line that passes through the origin — and the representations of these transformations by 2 × 2 matrices.

u2-t5-s1-d2

2 interactives — choose one

Reflecting a shape with a matrix

manipulative

Reflect a polygon in the x-axis, y-axis, y = x or y = −x and see the corresponding 2×2 matrix and vertex table.

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Rotating a shape with a matrix

manipulative

Drag θ to rotate a polygon and see the 2×2 rotation matrix act on every vertex.

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Want a different take?

Already have one and want another angle on this point? Describe what students should notice. Requests are read and acted on.