Grade 9 Maths - Grey College

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Grade 9

Maths

Class 11 4 May 2020 - Transformation – translate Class 12 5 May 2020 - Transformation - reflection Class 13 6 May 2020 - Transformation - rotations Class 14 7 May 2020 - Transformation – change size Class 15 8 May 2020 - Transformation

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GRADE 9 GREY COLLEGE MATHS

TRANSFORMATION GEOMETRY

1. TRANSLATION A translation of a figure occurs when each point of the figure is moved in the same

direction, vertical (up or down) or horizontal (left or right).

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EXAMPLE

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GRADE 9 GREY COLLEGE 2020

MATHS Class 11 4 May 2020

Do the following in Book 2 (or on papier) EXERCISE 1

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3.

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2. REFLECTION

A Reflection is the image of a point or figure to the line of reflection. The image is

the mirror image of the original figure.

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2.1 REFLECTION ABOUT THE Y-AXIS

If the page is folded on the vertical line, the panda bear on the left will be exactly the same as the

panda bear on the right. We say that the vertical line of reflection is the vertical axis of symmetry.

2.2 REFLECTION ABOUT THE X-AXIS

If the page is folded on the horizontal line, the top rhinoceros will be exactly the same as the bottom

rhinoceros. We say that the horizontal line of reflection is the horizontal axis of symmetry.

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GRADE 9 GREY COLLEGE 2020

MATHS Class 12 5 May 2020

Do the following in Book 2 (or on papier) EXERCISE 2 1.

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3.

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3. ROTATION

A rotation occurs if a point or figure is rotated through an angle around a fixed point to

form its image.

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GRADE 9 GREY COLLEGE 2020

MATHS Class 13 6 May 2020

Do the following in Book 2 (or on papier) EXERCISE 3 1.

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2. Rotate the triangle below 90° counter-clockwise around the origin and write the

coordinates of the new vertices.

3. Write down the coordinate of each of the following points after it has been transformed:

a) Rotate180° around the origin:

b) Rotate90° clockwise around the origin:

𝐾ሺ1; 3ሻ; 𝐿ሺ5; 5ሻ;𝑀ሺ4; 2ሻ

𝐴ሺ4; 1ሻ; 𝐵ሺ−1; 2ሻ; 𝐶ሺ3;−2ሻ

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4. ENLARGEMENTS AND REDUCTION OF SHAPES

Whenever a shape is enlarged or reduced through the origin, the coordinates of the shape

move further away from or closer to the origin thereby enlarging or reducing the original

shape. The original shape and its image are similar to each other. A scale factor (k) is the

number multiplied by the coordinates of each point to form the enlarged or reduced image of

the original shape.

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GRADE 9 GREY COLLEGE 2020

MATHS Class 14 7 May 2020

Do the following in Book 2 (or on papier) EXERCISE 4 1.

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GRADE 9 GREY COLLEGE 2020

MATHS Class 15 8 May 2020

Do the following in Book 2 (or on papier) EXERCISE 5

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