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## Transformations

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**-**Transformations y x x x x**Transformations**Menu 1. Examples of different Transformation Individual transformations explained plus sets of four descriptions to draw. 2. Transformation “Jungles” Questions on diagrams containing a large number of shapes. List the shapes that fit. 3. Predicting Activity (Three levels) Questions on diagrams containing a large number of shapes. List the shapes that fit.**Transformations Menu**Written descriptions only 1 - 4 5 - 8 A Translations 1 - 4 5 - 8 B Reflections 1 - 4 5 - 8 C Rotations 1 - 4 5 - 8 D Enlargements Descriptions and Diagrams A Translations 1 2 3 4 5 6 7 8 B Reflections 1 2 3 4 5 6 7 8 C Rotations 1 2 3 4 5 6 7 8 D Enlargements 1 2 3 4 5 6 7 8 Jungle 1 Question Menu Jungle 2. Question Menu Basic translations, reflections + rotations. 1 2 3 4 5 6 Basics + new lines of reflection ... 1 2 3 4 5 6 More enlargements, centres, SF’s etc. 1 2 3 4 5 6**SLIDE CONTROL WHEN IN PRESENTATION MODE**Pressing keys or clicking moves slides on. Pressing P goes to previous slide. Using menu slide, click on chosen button to go to that slide. Click on Menu button to return. In presentation mode, right click, then ‘help’ gives a full list of control options.**What is this?**What type of movement does this picture make you think of? Rotation**What is this?**What type of mapping does this picture make you think of? Reflection**What about this?**What type of mapping does this picture make you think of? Enlargement??**What is this?**What type of mapping does this picture make you think of? Translation**Examples of Transformations**• This section looks at various types of basic • transformation. • The written descriptions are given so that • drawings can be attempted before viewing. • The other part describes and demonstrates • each transformation one at a time. Written descriptions only Descriptions and Diagrams**Translation of**7 to the right and 1 up Translation of 5 to the right and 2 up Translation of 2 to the right and 2 up Translation of 5 to the right and 3 down 7 5 2 5 1 2 2 - 3 Examples of Translations Use triangle with coordinates (-4 , 0 ) , ( -2 , 0) and ( -4 , 3 ) 1 2 3 4**Translation of**0 across and 5 down Translation of 5 to the left and 1 up Translation of 4 to the left and 2 up Translation of 6 to the left and 4 down 0 - 5 - 4 - 6 - 5 1 2 - 4 Examples of Translations Use triangle with coordinates ( 2 , 0 ) , ( 4 , 0) and ( 2 , 3 ) 5 6 7 8**Examples of Reflections**Use triangle with coordinates (1 , 2 ) , ( 3 , 2) and ( 1 , 5 ) 1 Reflection in the x axis 2 Reflection in the y axis 3 Reflection in the line y = 1 4 Reflection in the line x = - 1**Examples of Reflections**Use triangle with coordinates ( 3 , 0 ) , ( 5 , 0) and ( 5 , 3 ) 5 Reflection in the line y = x 6 Reflection in the line x = 1.5 7 Reflection in the line y = x - 1 8 Reflection in the line y = - x**Examples of Rotations**Use L- shape with coordinates ( 1 , 0 ), ( 4 , 0), ( 4 , 2 ), ( 3 , 2 ), ( 3 , 1 ) and ( 1 , 1 ) 1 Rotation of + 90o about ( 0 , 0 ) 2 Rotation of + 180o about ( 0 , 0 ) 3 Rotation of - 90o about ( 0 , 0 ) 4 Rotation of + 90o about ( 1 , - 2 )**Examples of Rotations**Use L- shape with coordinates ( 1 , 0 ), ( 4 , 0), ( 4 , 2 ), ( 3 , 2 ), ( 3 , 1 ) and ( 1 , 1 ) 5 Rotation of + 90o about ( 2.5 , 0 ) 6 Rotation of 180o about ( 0 , 1 ) 7 Rotation of - 90o about ( 1 , 0 ) 8 Rotation of + 180o about ( 0 , 2 )**Examples of Enlargements**1 2 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) (0,-3), (3,-3), (3,-1) Enlargement of scale factor + 3 centre ( 2 , - 4 ) 3 (-3,2), (0,2), (0,4) Enlargement of scale factor + 2 centre ( - 5 , 3 ) 4 (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 )**Examples of Enlargements**5 (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 ) 6 (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) 7 (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) 8 (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 )**Translation of**5 to the right and 2 up 5 2 A1 y x Blue = Object Red = Image**Translation of**7 to the right and 1 up 7 1 A2 y x Blue = Object Red = Image**Translation of**2 to the right and 2 up 2 2 A3 y x Blue = Object Red = Image**Translation of**5 to the right and 3 down 5 - 3 A4 y x Blue = Object Red = Image**Translation of**0 across and 5 down 0 - 5 A5 y x Blue = Object Red = Image**Translation of**4 to the left and 2 up - 4 2 A6 y x Blue = Object Red = Image**Translation of**5 to the left and 1 up - 5 1 A7 y x Blue = Object Red = Image**Translation of**6 to the left and 2 down - 6 - 4 A8 y x Blue = Object Red = Image**B1**y Reflection in the x axis x Blue = Object Red = Image**B2**y Reflection in the y axis x Blue = Object Red = Image**B3**y Reflection in the line y = 1 x Blue = Object Red = Image**B4**y Reflection in the line x = - 1 x Blue = Object Red = Image**B5**y Reflection in the line y = x x Blue = Object Red = Image**B6**y Reflection in the line x = 1.5 x Blue = Object Red = Image**B7**y Reflection in the line y = x - 1 x Blue = Object Red = Image**B8**y Reflection in the line y = - x x Blue = Object Red = Image**+**C1 y Rotation of + 90o about ( 0 , 0 ) x Blue = Object Red = Image**+**C2 y Rotation of + 180o about ( 0 , 0 ) x Blue = Object Red = Image**+**C3 y Rotation of - 90o about ( 0 , 0 ) x Blue = Object Red = Image**+**C4 y Rotation of + 90o about ( 1 , - 2 ) x x Blue = Object Red = Image**+**C5 y Rotation of 180o about ( 2.5 , 0 ) x x Blue = Object Red = Image**+**C6 y Rotation of 180o about ( 0 , 1 ) x x Blue = Object Red = Image**+**C7 y Rotation of - 90o about ( 1 , 0 ) x x Blue = Object Red = Image**+**C8 y Rotation of + 180o about ( 0 , 2 ) x x Blue = Object Red = Image**D1**y x (-1,0), (3,2), (-1,2) Enlargement of scale factor + 2 centre ( 1 , 4 ) x Blue = Object Red = Image**D2**y (0,-3), (3,-3), (3,-1) Enlargement of scale factor + 3 centre ( 2 , - 4 ) x x Blue = Object Red = Image**D3**y x (-3,2), (0,2), (0,4) Enlargement of scale factor + 2 centre ( - 5 , 3 ) x Blue = Object Red = Image**D4**y x (-1,3), (1,4), (-1,4) Enlargement of scale factor + 5 centre ( 0 , 5 ) x Blue = Object Red = Image**D5**y x (-3,0), (0,0), (0,2) Enlargement of scale factor + 2 centre ( - 5 , 3 ) x Blue = Object Red = Image**D6**y (-2,-1), (2,3), (-2,3) Enlargement of scale factor + 0.5 centre ( 4 , - 3 ) x x Blue = Object Red = Image**D7**y y x (-1,1), (-1,-1), (3,1) Enlargement of scale factor + 1.5 centre ( 1 , 5 ) x x Blue = Object Red = Image**D8**y y x (-1,-1), (5,-1), (-1,-5) Enlargement of scale factor + 0.5 centre ( - 1 , 5 ) x Blue = Object Red = Image**Transformation “Jungles”**Click Here for Rules of Jungle • Each diagram shows a “Jungle” of shapes. • The challenge is to name the shapes that • fit the description. • There are often several answers. Jungle 1. Question Menu Jungle 2. Question Menu Return to Main Menu