Transformations smpk gs
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TRANSFORMATION S SMPK PENABUR GADING SERPONG 2014
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Materi Matrikulasi kelas 8 di SMPK PENABUR Gading Serpong dalam rangka ikut mensukseskan Kurikulum Nasional 2013. Maju Terus Pendidikan Indonesia.
Transcript of Transformations smpk gs
TRANSFORMATIONSSMPK PENABUR GADING SERPONG2014
In mathematics, a transformationchanges the position or orientation of a figure. The resulting figure is the image of the original.
Transformations
Transformations
Type of transformation to change the position are:TranslationsReflectionsRotations
In other transformations, such as dilations, the size of the figure will change.
Transformations on the Coordinate Plane
Transformations
Identify the transformation as a reflection, translation, dilation, or rotation.
Answer: The figure has been increased in size.This is a dilation.
Identify Transformations
Identify the transformation as a reflection, translation, dilation, or rotation.
Answer: The figure has been shifted horizontally to the right. This is a translation.
Identify Transformations
Identify the transformation as a reflection, translation, dilation, or rotation.
Answer: The figure has been turned around a point.This is a rotation.
Identify Transformations
Identify the transformation as a reflection, translation, dilation, or rotation.
Answer: The figure has been flipped over a line.This is a reflection.
Identify Transformations
TranslationThe figure slides along a straight line without turning.
Transformations
TRANSLATIONWhat does a translation look like?
A TRANSLATION IS A CHANGE IN LOCATION.
x yTranslate from x to y
original image
Graph each transformation.
Example of Translation : Graphing Transformations on a Coordinate Plane
Translate quadrilateral ABCD 4 units left and 2 down.
Each vertex is moved 4 units left and 2 units down.
Transformations - Translations
Try This !
Insert Lesson Title Here
Translate quadrilateral ABCD 5 units left and 3 units down.
Each vertex is moved five units left and three units down.
7-10 Transformations - Translations
x
yA
B
C
2
2
–2
–4
4
4
–4
–2 D
D’C’
B’A’
REFLECTIONREFLECTION
REFLECTION
A REFLECTION IS FLIPPED OVER A LINE.
A reflection is a transformation that flips a figure across a line.
REFLECTION
A REFLECTION IS FLIPPED OVER A LINE.
After a shape is reflected, it looks like a mirror image of itself.
Remember, it is the same, but it is backwards
REFLECTIONThe line that a shape is flipped over is called a line of reflection.
A REFLECTION IS FLIPPED OVER A LINE.
Line of reflection
Notice, the shapes are exactly the same distance from the line of reflection on both sides.
The line of reflection can be on the shape or it can be outside the shape.
REFLECTIONAL SYMMETRYThe line created by the fold is the line of symmetry.
A shape can have more than one line of symmetry.
Where is the line of symmetry for this shape?
How can I fold this shape so
that it matches exactly?
NOT THIS WAY
I CAN THIS WAY
Line of Symmetry
REFLECTIONAL SYMMETRYHow many lines of symmetry does each shape have?
Do you see a pattern?
REFLECTIONAL SYMMETRYWhich of these flags have reflectional symmetry?
United States of America
Mexico
Canada
England
Reflect the figure across the x-axis.
Example of reflection : Graphing Transformations on a Coordinate Plane
The x-coordinates of the corresponding vertices are the same, and the y-coordinates of the corresponding vertices are opposites.
Transformations - Reflections
Try This !
Insert Lesson Title Here
Reflect the figure across the x-axis.
The x-coordinates of the corresponding vertices are the same, and the y-coordinates of the corresponding vertices are opposites.
Transformations - Reflections
x
y
A
B
C
3
3
–3
A’
B’
C’
Try This !
Reflect the figure across the y-axis.
Insert Lesson Title Here
The y-coordinates of the corresponding vertices are the same, and the x-coordinates of the corresponding vertices are opposites.
Transformations - Reflections
x
y
A
B
C
3
3
–3C’
B’
