reflections, rotations and translations. reflections
TRANSCRIPT
REFLECTIONS, REFLECTIONS, ROTATIONS AND ROTATIONS AND TRANSLATIONSTRANSLATIONS
ReflectionsReflections
OBJECT IMAGE
Reflect the triangle in the mirror line.
The line joining a point to its image is always at right angles to the mirror line.
OBJECT
IMAGE
Reflect the shape in the mirror line.
The line joining a point to its image is always at right angles to the mirror line.
OBJECT
IMAGE
Reflect the shape in the line y = 5.
First draw the mirror line.
y
x2
2
4
4
6
60
0
8
8
10
10
y 5
RotationsRotations
Rotate the triangle 90o clockwise about the given point.
Rotate the triangle 90o clockwise about the given point.
Use tracing paper for rotations.
Rotate the triangle 90o clockwise about the given point.
Object
Image
Rotate the triangle 180o about the given point.
Rotate the triangle 180o about the given point.
Use tracing paper for rotations.
Rotate the triangle 180o about the given point.
Object
Image
TranslationsTranslations
A translation is a transformation that ‘slides’ a shape from one place to another.
IMAGEOBJECT
In a translation each point on the original shape moves the same distance and in the same direction.
This is a translation of .4
5
The top number is the movement in the x direction.
positivenegative
The bottom number is the movement in the y direction.
positive
negative
4
5
IMAGE
Translate the shape by the vector .
3
2
OBJECT
3
2
IMAGE
Translate the shape by the vector .2
4
OBJECT
4
2
IMAGE
Translate the shape by the vector .1
3
OBJECT
3
1
IMAGE
Translate the shape by the vector .4
1
OBJECT
4
1