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Transcript of Rotation
A rotation is the movement of a shape around a pivot point. The amount of rotation is described with degrees. The figure will not change size or shape, just the way it's facing. An object can only be rotated clockwise and anticlockwise.
Rotational symmetry is when a shape can be rotated around a central point a certain amount less than 360 degrees, and look like an exact copy of the original image. For example, if you rotate a square 90 degrees it will still look like the same square. Squares can be rotated four times within 360 degrees, and still look the same. Other shapes might have a different amount of times they can be rotated within a full turn, and still look the same. This is called order of rotational symmetry.
Order of rotational symmetry is the amount of times you can rotate a shape within a full turn of 360 degrees, and it still looks the same. Take, for example, an equilateral triangle. This triangle can be rotated 120 degrees, or one third of a full turn, and it still looks the same. I can do this 2 more times within the full rotation, meaning that the triangle has an order of rotational symmetry of 3. (Show spinning example).
Order of Rotational Symmetry
How To Draw A Rotated Image
Clockwise and anti-clockwise
Complete exercise 10C on page 603
1,3(a,c), 4(b),5(a), 7,8(b), 11(a)
Time for some exercises!
To conclude everything we have said, rotation is moving a shape around a point without changing it's size or shape, only the way it faces. A shape has rotational symmetry if it can be rotated around a center point to produce an exact copy of what the shape looked like before rotation. Order of rotational symmetry is how many times you can do this within 360 degrees. Clockwise is the way the clock hands move, and anticlockwise is the opposite.
By Freya, May and Aneri
Clockwise is the way that the hands on a clock would rotate, and anti-clockwise is the opposite of that. Rotating something clockwise by 90 degrees is the same as rotating it anti-clockwise 270 degrees. A way to convert between clockwise and anticlockwise is:
clockwise = 360 - anticlockwise
anticlockwise = 360 - clockwise