UPRAK Basic Math

1. GEOMATRIC

2. 1.
TRANSLATION
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3. 3
Translation is a term used in
geometry to describe a function
that moves an object a certain
distance. The object is not altered
in any other way. It is not rotated,
reflected or re-sized.

4. 2.
REFLECTION
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5. 5
A reflection is a flip over a line
Every point is the same distance
from the central line
The reflection has the same size as
the original image
The central line is called the
Mirror Line.

6. 6
Pencerminan terhadap sumbu x
Pencerminan Terhadap Sumbu y
Pencerminan terhadap Garis y = x
Pencerminan terhadap Garis y = -x

7. 7
Pencerminan terhadap Titik Asal O(0,0)
Pencerminan terhadap Garis x = h
Pencerminan terhadap Garis y = k

8. 3.
ROTATION
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9. 9
A rotation is a transformation
that turns a figure about a fixed
point called the center of rotation.
• An object and its rotation are the
same shape and size, but the figures
may be turned in different
directions.
• Rotations may be clockwise or
counterclockwise..
Rotation with center point (0,0)

10. 10
Rotation with center point (a,b)

11. EXERCISES
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12. 12
Titik A(5,-2) ditranslasi oleh T (-3,1)
Tentukan koordinat bayangan titik A
tersebut!

13. 13
Bayangan titik A oleh refleksi terhadap
titik (1, -2) adalah titik A’(3, 5). Tentukan
koordinat titik A!
x’ = 2 – x ó x = 2 – x’
y’ = -4 – y ó y = -4 – y’
x = 2 – 3 = -1
y = -4 – 5 = 9
Jadi A(-1, -9)

14. 14
Tentukan bayangan titik (-2, 8) oleh rotasi
R(O, 135)!

15. thanks!
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