REFLECTION Remember, it is the same, but it is backwards After a shape is reflected, it looks like a mirror image of itself. REFLECTION A reflection is a transformation that flips a figure across a line. Since 120 is less than 360, this shape HAS rotational symmetry 120 ROTATION SYMMETRY Does this shape have rotational symmetry? Yes, when the shape is rotated 120 it is the same. So this shape does NOT have rotational symmetry. Here is another example… As this shape is rotated 360, is it ever the same before the shape returns to its original direction? No, when it is rotated 360 it is never the same.
#Translation reflection rotation full#
ROTATIONAL SYMMETRY A shape has rotational symmetry if, after you rotate less than one full turn, it is the same as the original shape. So this shape is said to have rotational symmetry. Here is another example… As this shape is rotated 360, is it ever the same before the shape returns to its original direction? Yes, when it is rotated 180 it is the same as it was in the beginning. Here is an example… As this shape is rotated 360, is it ever the same before the shape returns to its original direction? 90 Yes, when it is rotated 90 it is the same as it was in the beginning.
ROTATION When some shapes are rotated they create a special situation called rotational symmetry. ROTATION Describe how the arrow A was transformed to make arrow B B A Arrow A was rotated right 180 Describe the translation. ROTATION Describe how the triangle A was transformed to make triangle B A B Triangle A was rotated right 90 Describe the translation. ROTATION If a shape spins 90, how far does it spin? One-quarter of the way around 90 This is called a ¼ turn. Half of the way around 180 This is called a ½ turn. ROTATION If a shape spins 180, how far does it spin? Rotating a shape 180 turns a shape upside down. ROTATION If a shape spins 360, how far does it spin? 360 All the way around This is called one full turn. This is another way rotation looks center of rotation A ROTATION MEANS TO TURN A FIGURE ROTATION The triangle was rotated around the point. ROTATION What does a rotation look like? center of rotation A ROTATION MEANS TO TURN A FIGURE The center of rotation can be on or outside the shape. The point a figure turns around is called the center of rotation. Basically, rotation means to spin a shape. ROTATION A rotation is a transformation that turns a figure about (around) a point or a line. A B Arrow A is slide down and to the right. TRANSLATION In the example below arrow A is translated to become arrow B. A B Triangle A is slide directly to the right. TRANSLATION In the example below triangle A is translated to become triangle B. TRANSLATION What does a translation look like? original image x y Translate from x to y A TRANSLATION IS A CHANGE IN LOCATION. A translation is usually specified by a direction and a distance. An easy way to remember what translation means is to remember… A TRANSLATION IS A CHANGE IN LOCATION. TRANSLATION Basically, translation means that a figure has moved. With translation all points of a figure move the same distance and the same direction. TRANSLATION A translation is a transformation that slides a figure across a plane or through space. Examples of this type of transformation are: translations, rotations, and reflections In other transformations, such as dilations, the size of the figure will change. In some transformations, the figure retains its size and only its position is changed.
In geometry, a transformation is a way to change the position of a figure. Translations, Rotations, and Reflections Demonstrate understanding of translations, rotations, reflections, and relate symmetry to appropriate transformations.
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