Transformations Grade 9 By how much did it
Transformations Grade 9
By how much did it move? y A x B
Worksheet 1 •
Worksheet 1 •
Reflection Each point in the image must be the same distance from the mirror line as the corresponding point of the original object.
WS 2: Reflect in the y-axis (1; 1) → (-1; 1) (1; 4) → (-1; 4) (2; 3) → (-2; 3) (3; 3) → (-3; 3) (5; 5) → (-5; 5) (5; 1) → (-5; 1) When you reflect a shape in the y-axis, the x-coordinate change sign and the y-coordinate stay the same.
WS 2: Reflect in the x-axis (-4; 2) → (-4; -2) (-2; 2) → (-2; -2) (-2; 3) → (-2; -3) (-3; 3) → (-3; -3) (-3; 5) → (-3; -5) (-1; 5) → (-1; -5) (-1; 2) → (-1; -2) (-3; 0) → (-3; 0) When you reflect a shape in the x-axis, the x-coordinate stay the same and the y-coordinate change sign.
Reflections x = y y- axis x- axis -x = y
Reflections 3 (1) •
Reflections 3 (2) •
Reflections 3 (3) •
Reflection 3 (4)
Rotations When you describe rotations you have to state: • How many degrees 180° • Around what point. origin
Worksheet 4(3)
Worksheet 4(4)
Worksheet 4(4)
Rotate the following points 180°around the origin •
Rotations •
Clockwise Anti-clockwise
Homework WORKSHEET 5
When you rotate a shape by 90 o clockwise around the origin, the coordinates swop around and the ycoordinate changes sign
When you rotate a shape by 90 o anticlockwise around the origin, the coordinates swop around and the xcoordinate changes sign
Anti Clockwise
Enlargements
Double the distance between the points and the origin
Write down the coordinates
Conclusion When you enlarge a shape you multiply both the coordinates with the same factor.
Points Enlargement 2 (0; 5) 5 (1; -4) (5; -20) (6; 12) (2; 4) (-5; -1) (-50; -10) (-3; 5) (6; -10) 10
Homework CONSOLIDATION EXERCISE
Consolidation W/S
Consolidation W/S
Consolidation W/S (3) X(1; -5) Y(-3; 10) Z(0; -9) Reflect in y -axis Rotate 180 (-1; -5) (3; 10) (0; -9) (-1; 5) (3; -10) (0; 9) Translate (-7; 2) Reflect y = x (-6; -3) (-10; 12) (-7; -7) (-5; 1) (10; -3) (-9; 0)
Consolidation W/S (3) Reflection in the line y = x 180 Rotation around the origin Reflection in x-axis Reflection in y-axis 180 Rotation
- Slides: 40
