A rotation of 360 degrees around the origin of (0, 0) will carry a rhombus back onto itself.
Rotate 360 degrees
It would require 36 degrees.
Oh, dude, you can use transformations like translations, rotations of 180 degrees, or a combination of reflections across the diagonal or perpendicular bisectors to carry the rectangle ABCD onto itself. It's like playing Tetris but with shapes, you know? So, yeah, those are the moves you can make to keep the rectangle where it belongs.
reflect across the x-axis and then reflect again over the x-axis
The identity transformation.
Rotate 360 degrees
It will do so.
A regular hexagon can be rotated onto itself by multiples of 60 degrees. Specifically, the rotations that will carry the hexagon onto itself are 0 degrees, 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees. These rotations correspond to the hexagon's vertices, allowing it to align perfectly with its original position.
The regular octagon is the polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself. An octagon has 8 sides, and when rotated by 360 degrees, it can be divided into 8 equal parts, resulting in a 45-degree rotation for each part. Thus, a rotation of 45 degrees maps the octagon onto itself.
It would require 36 degrees.
Oh, dude, you can use transformations like translations, rotations of 180 degrees, or a combination of reflections across the diagonal or perpendicular bisectors to carry the rectangle ABCD onto itself. It's like playing Tetris but with shapes, you know? So, yeah, those are the moves you can make to keep the rectangle where it belongs.
Translations, in the direction of a side of the triangle by a distance equivalent to any integer multiple of its length.Rotation about any vertex by 180 degrees.
reflect across the x-axis and then reflect again over the x-axis
The identity transformation.
A regular hexagon can be carried onto itself by rotations of 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees around its center. These rotations correspond to the multiples of 60 degrees, which are the angles formed by the vertices of the hexagon. Additionally, a 0-degree rotation (no rotation) also carries the hexagon onto itself.
To show congruency between two shapes, you can use a sequence of rigid transformations such as translations, reflections, rotations, or combinations of these transformations. By mapping one shape onto the other through these transformations, you can demonstrate that the corresponding sides and angles of the two shapes are congruent.
A transformation: there are many different types of transformations.