TRANSFORMATION

Made By:

Amalia Dewi P. (A410112004)Math. RSBI 7s

ReflectionTranslation

DilatationRotation

TRANSFORMATION

have you ever looked in the mirror?

ReflectionReflection

what you see when you look in the mirror?

Whenever you looked in the mirror, what can you explain about your shadow? Does the shadow have the same form with you? Is whenever you get closer to the mirror, your reflection also closer to the mirror?

Lets answer the question

See the pictures (Horizontal)

what can be concluded?-Every point is the same distance from the central line-The reflection has the same size as the original image

Can A Mirror Line Be Vertical?

Yes. Here tinas dog bary"

shows a Vertical Mirror Line (with

a bit of photo magic)

In fact Mirror Lines can be in any direction.You can turn around the mirror line and... the reflected image is always the same size, it just faces the other way

Actually, reflection its not about

vertical and horizontal, BUT..

The Object and its shadow is always the same

From the illustration, we can obtain the reflection properties as follows:

The distance of each point on the object and the mirror is equal to the distance of each point in the image and the mirror, s = s'.

The height of object equal to the height of reflection, h = h '

Now, solve this:

Determine the reflection of rhombus PQRS,

a. b.c.

TranslationTranslation

In Geometry, "Translation" simply means Moving .......

without rotating, resizing or anything else, just moving

Every point of the shape must move:the same distance in the same direction.

xy

A B

BA-1-2-3-4-5

1 2 3 4 5 61234

56

-1

-2-3-4

-5-6

--7

D

C

C

D

With,A= (.....,.....)B= (.....,.....)C= (.....,.....)D= (.....,.....)

AndA= (.....,.....)B= (.....,.....)C= (.....,.....)D= (.....,.....)

-3 6-1 6-3 1

-5 1

3 -2

-25-73-71

RotationRotation

"Rotation" means turning around a center:The distance from the center to any point on the shape stays the same

Here a triangle is rotated around

the point marked with a "+"

The square is turned one complete about the point O.

GUESS......Which of the following shows the new position of the square?

LOOK AT THE PICTURE ON THE RIGHT

a ba c d

O

ResizingResizing

LOOk at this FIGURE........!!

When you resize a shape it gets bigger or smaller. ... but it still looks similar:

Note: here we call it resizing, but other people call it dilation, contraction, compression, enlargement or even expansion! Same idea, just different names.

Draw a line from the central point to the corner

increase (or decrease) the length of that line

put a dot at the new point

To resize, just do this for every corner:

Slide 1Slide 2Slide 3Slide 4Slide 5Slide 6Slide 7Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17