Ft
Rotation
A rotation of 360 degrees will map a parallelogram back onto itself.
180°
Linear transformation is a function between vector spaces that will always map a parallelogram onto itself. Some examples are rectangles and regular polygons.
The identity transformation.
Rotation
A rotation of 360 degrees will map a parallelogram back onto itself.
180°
Linear transformation is a function between vector spaces that will always map a parallelogram onto itself. Some examples are rectangles and regular polygons.
A common transformation that will map any parallelogram onto itself is a rotation by 180 degrees about its center. This rotation preserves the shape and size of the parallelogram while repositioning it in such a way that every vertex moves to the location of the opposite vertex. Additionally, reflections across the diagonals or the midpoints of opposite sides also map the parallelogram onto itself.
A transformation that will always map a parallelogram onto itself is a rotation by multiples of 180 degrees around its center. This rotation preserves the lengths of the sides and the angles, maintaining the shape and position of the parallelogram. Additionally, reflections across the lines of symmetry or the diagonals will also map a parallelogram onto itself.
Yes.
The identity transformation.
120
A square can be rotated onto itself at specific angles of 0 degrees, 90 degrees, 180 degrees, and 270 degrees. This means it has four positions of symmetry through rotation. Therefore, a square can be rotated by any multiple of 90 degrees to map onto itself.
It will be 180 degrees
A shape is said to be self-similar if it will map onto an enlargement of a part of itself.