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.
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.
Yes
I dOnt now
A trapezoid
no it cannot
A rotation of 360 degrees will map a parallelogram back onto itself.
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.
Itself
No, a parallelogram does not have rotational symmetry because it cannot be rotated onto itself. Rotational symmetry requires an object to look the same after being rotated by a certain angle.
Depending onto injury level, but recovery is always possible.
A rotation of 360 degrees around the origin of (0, 0) will carry a rhombus back onto itself.
f(x) map onto itself means f(x) = x the image is the same as the object
Yes
Rotation
Ft
180°