Geometry of Design

Label line of symmetry, center of rotation, angle of rotation.

Label line of symmetry, center of rotation, angle of rotation.

Label line of symmetry, center of rotation, angle of rotation.

Plot triangle A(1,2), B(3,2), C(2,4). Slide every vertex by (2,−1).

Plot triangle A(1,2), B(3,2), C(2,4). Reflect every vertex over y-axis.

[Over the x-axis, (x,y) becomes (x,−y).
Over the y-axis, (x,y) becomes (-x,y).]

Rotate point (0, -3) by 180 degrees.

Take a triangle with vertices (1,1), (2,1), (1,2). Dilate by factor 2 from origin.