Center of rotation
Point of rotation
The least angle at which the figure may be rotated to coincide with itself is the angle of symmetry.
A point or a line segment can be a preimage of itself because a line can be reflected or rotated.
If it's an *equilateral* triangle, a triangle. Check out quadrilaterals (squares, rectangles), then *equilateral* pentagons, hexagons, etc. Generally, an equilateral polygon needs only rotate (360/number of sides) degrees to coincide.
figure 2
Point of rotation
It is called a rotation.
When u rotated a figure 180 is the reflection the same
A point of symmetry is a specific point in a geometric figure such that if the figure is rotated 180 degrees around that point, it maps onto itself. This means that for every point on one side of the figure, there is an equivalent point on the opposite side at the same distance from the center. Common examples include circles and certain shapes like stars, where the center serves as the point of symmetry.
well if you rotated it upside down then it would be a face with a uni brow.
To rotate a point or figure 90 degrees clockwise about the origin, you can use the transformation formula: for a point (x, y), the new coordinates after rotation will be (y, -x). Apply this transformation to each vertex of the figure. After calculating the new coordinates for all points, plot them to visualize the rotated figure.
A point of symmetry refers to a specific point in a geometric figure where the figure is mirrored or balanced around that point. When a shape is rotated 180 degrees around this point, it appears unchanged, meaning each part of the figure has a corresponding part at an equal distance on the opposite side. This concept is often used in mathematics and physics to analyze shapes and patterns. Examples include the center of a circle or the centroid of a symmetric object.
To rotate a figure 90 degrees clockwise around a point, take each point of the figure and apply the following transformation: if the original point is at coordinates (x, y), the new coordinates after rotation will be (y, -x). This means you swap the x and y values and change the sign of the new x value. Make sure to apply this transformation to each point of the figure to get the complete rotated image.
Rotation Symmetry La Simetria de Rotation Symetrie de Rotation
A figure can be rotated through any angle of your choice.
When a figure is rotated 270 degrees clockwise about the origin, the algebraic rule for the transformation of a point ((x, y)) is given by ((x, y) \rightarrow (y, -x)). This means the x-coordinate takes the value of the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate.
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