REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.

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Presentation transcript:

REFLECTIONS, ROTATIONS AND TRANSLATIONS

Reflections

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 x

Rotations

Rotate the triangle 90 o clockwise about the given point.

Use tracing paper for rotations.

Rotate the triangle 90 o clockwise about the given point. Object Image

Rotate the triangle 180 o about the given point.

Use tracing paper for rotations.

Rotate the triangle 180 o about the given point. Object Image

Translations

A translation is a transformation that ‘slides’ a shape from one place to another. IMAGE OBJECT In a translation each point on the original shape moves the same distance and in the same direction. This is a translation of. 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. OBJECT 3 2

IMAGE Translate the shape by the vector. OBJECT 4 2

IMAGE Translate the shape by the vector. OBJECT 3 1

IMAGE Translate the shape by the vector. OBJECT 4 1