REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections

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