Presentation on theme: "Transformations Moving a shape or object according to prescribed rules to a new position. USE the tracing paper provided to help you understand in the."— Presentation transcript:
1 TransformationsMoving a shape or object according to prescribed rules to a new position.USE the tracing paper provided to help you understand in the exam.
2 ReflectionRotationTranslationCombined TransformationsEnlargement (A later presentation)
3 ReflectionThe shape (A) is reflected in a mirror line so that the new position (shape B) is the same distance from the mirror line but the shape is reversed (mirror image).Distances from any point to the line are identical.Mirror lineAB
4 Axis reflectionsX axis reflectionY axis reflectiony = –1Reflection in line x = 2Reflection in line y = –1x = 2
5 Reflection on the line y = x Think about where the line would be!Measure from the original to the mirror line and then extend to the other side.
6 RotationThe shape is rotated about a given centre by a given angle and stating whether clockwise or anticlockwise.AABA B = 90O clockwise about the origin (0,0)
7 RotationThe shape is rotated about a given centre by a given angle and stating whether clockwise or anticlockwise.AACA C = 180O clockwise about the origin (0,0)
8 TranslationThis means move the shape in both the ‘x’ and ‘y’ direction. Given as a vectoryThe “vector” given is written in a large bracket as shown belowAxThe translation from A to B is given byBi.e. 1 across and 6 down
9 Combined Transformations Two or more transformations may combine to give ‘something different’.In this casetwo reflectionsof ‘A’ can be shown to be a rotation to produce ‘C’ACB
10 Combined Transformations 2 Reflections =2 Rotations =Reflection + Rotation (90)3 c/w Reflections =This is particularly useful to remember for the exam!!1 Rotation (180)1 Rotation (add the angles)= Rotation (180)1 Reflection (anti-c/w)