REFLECTIONS ROTATIONS AND TRANSLATIONS Reflections Reflect the triangle

REFLECTIONS, ROTATIONS AND TRANSLATIONS

Reflections

Reflect the triangle in the mirror line. OBJECT The line joining a point to its image is always at right angles to the mirror line. IMAGE

Reflect the shape in the mirror line. OBJECT IMAGE The line joining a point to its image is always at right angles to the mirror line.

y 10 8 Reflect the shape in the line y = 5. OBJECT 6 4 First draw the mirror line. IMAGE 2 0 0 2 4 6 8 10 x

Rotations

Rotate the triangle 90 o clockwise about the given point.

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.

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. 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. 5 IMAGE OBJECT 4 negative positive The bottom number is the movement in the y direction. positive negative

Translate the shape by the vector . 2 OBJECT IMAGE 3

Translate the shape by the vector . 4 OBJECT IMAGE 2

Translate the shape by the vector . 1 3 OBJECT IMAGE

Translate the shape by the vector . 4 1 OBJECT IMAGE