Slide 1

REFLECTIONS, ROTATIONS AND TRANSLATIONS

Slide 2

Reflections

Slide 3

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.

Slide 4

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.

Slide 5

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

Slide 6

Rotations

Slide 7

Rotate the triangle 90 o clockwise about the given point.

Slide 8

Use tracing paper for rotations.

Slide 9

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

Slide 10

Rotate the triangle 180 o about the given point.

Slide 11

Use tracing paper for rotations.

Slide 12

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

Slide 13

Translations

Slide 14

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

Slide 15

IMAGE Translate the shape by the vector. OBJECT 3 2

Slide 16

IMAGE Translate the shape by the vector. OBJECT 4 2

Slide 17

IMAGE Translate the shape by the vector. OBJECT 3 1

Slide 18

IMAGE Translate the shape by the vector. OBJECT 4 1