Transformations Videos , Worksheets and Online Quizzes

There are 3 main types of transformations, Reflection, Rotation and Translation.

Reflection across the y-axis.	Rotation around the origin.	Translation (+4, -5)
Reflections Across the x or y-axis. A commonly used term for reflect is to flip. If an object is reflected across the y-axis(the vertical axis), the coordinates of the original points will have the same absoulte value, but the sign of the x-value will be the opposite of what is was. EX: If point A was (-6,1) and was reflected across the y-axis, the coordinates of A' would be (6,1). To find the coordinates of any point reflected across the x-axis, simply write the same coordinates as the original point, but write the opposite sign of the y-value. EX: If point B was(-6,5), the point would be (-6,-5) after being reflected across the x-axis.	Rotation Around the Origin The origin is located where the x and y-axis intersect(0,0). An object can be rotated around the origin. If an object is rotated 90° clockwise, it means the object will be in the very next quarter or quadrant going to the right. A 180° rotation means the object will have to be placed two quadrants relative to where the object was. Any object rotated 270° clockwise will be moved three quadrants going clockwise. A 360° rotation around the origin means the object would be moved four quadrants and end up where it started. With any 90° rotation about the origin - Switch the original coordinates around. If a point was (5,4) change them to (4,5) The sign will depend which quadrant the point is located in. Quadrant I (+,+) Quadrant II(-,+) Quadrant III (-,-) Quadrant IV (+, -)	Translation A commonly used term for translation is slide. When you slide an object you are translating it. After translating any object, all the verticies of the object should be pointing in the same direction as the original.. For example, if point B was the highest point before it was translated, it still will be the highest point after it is translated.

Reflection across the y-axis.

Rotation around the origin.

Translation (+4, -5)

Reflections Across the x or y-axis.

A commonly used term for reflect is to flip.

If an object is reflected across the y-axis(the vertical axis), the coordinates of the original points will have the same absoulte value, but the sign of the x-value will be the opposite of what is was. EX: If point A was (-6,1) and was reflected across the y-axis, the coordinates of A' would be (6,1).

To find the coordinates of any point reflected across the x-axis, simply write the same coordinates as the original point, but write the opposite sign of the y-value. EX: If point B was(-6,5), the point would be (-6,-5) after being reflected across the x-axis.

Rotation Around the Origin

The origin is located where the x and y-axis intersect(0,0). An object can be rotated around the origin.

If an object is rotated 90° clockwise, it means the object will be in the very next quarter or quadrant going to the right. A 180° rotation means the object will have to be placed two quadrants relative to where the object was. Any object rotated 270° clockwise will be moved three quadrants going clockwise. A 360° rotation around the origin means the object would be moved four quadrants and end up where it started.

With any 90° rotation about the origin - Switch the original coordinates around. If a point was (5,4) change them to (4,5) The sign will depend which quadrant the point is located in.

Quadrant I (+,+)

Quadrant II(-,+)

Quadrant III (-,-)

Quadrant IV (+, -)

Translation

A commonly used term for translation is slide. When you slide an object you are translating it. After translating any object, all the verticies of the object should be pointing in the same direction as the original.. For example, if point B was the highest point before it was translated, it still will be the highest point after it is translated.

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