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Contents:
Transformations: There are four transformations mentioned:
Translation, Enlargement, Rotation, and Reflection.
Translation:
The shifting of all points in a fixed direction.
Need: (1). Grid reference 'x' and 'y'.
Triangle ABC to -8, 5.
Look at any point on the triangle, eg. A.
Triangle ABC point A is placed at position 4 on the 'x' axis and at position -1 on the 'y' axis. If translated -8 on the 'x' axis and +5 on the 'y' axis it appears as:
Triangle ABC where point A is placed at position -4 on the 'x' axis, and at position 4 on the 'y' axis.
The translation is -8, 5. (The 'x' axis is always shown first).
Enlargement: Increases the size and shape by a constant factor.
Need: (1). Scale Factor, and (2). Centre of Enlargement using Grid Ref.
Triangle ABC Scale Factor 2, Centre
,
.
Lines A to A,
B to B, C to C meet
at position
on the 'x' axis, and at position
on the 'y' axis.
The length of the lines are 1 : 2. which is the Scale Factor.
Rotation: Turns all points through a fixed angle.
Need: (1). Angle and (2). Direction and (3). Centre of Rotation.
Triangle ABC 90
, Clockwise,
A.
The centre of rotation is
point A, turn the triangle by 90
from the point, to Triangle
ABC.
Reflection: Moves each point to its mirror image on the other side of a fixed
line.
Need: (1). The line of reflection.
The line of reflection is 'x' = 'y'.
Triangle ABC is reflected over the line.
Point A = -1, 3 reflected to: A = 3, -1.
Point B = -5, 3 reflected to: B = 3, -5.
Point C = -3, 1 reflected to: C = 1, -3.
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