This document discusses different types of transformations in mathematics. It defines a transformation as a change in position or orientation of a figure that results in an image of the original. Translations move a figure along a straight line without turning. Reflections flip a figure across a line. Rotations turn a figure around a point. Dilations change the size of a figure. The document provides examples of identifying transformations and graphing translations and reflections on a coordinate plane.

1. TRANSFORMATIONS
SMPK PENABUR GADING SERPONG
2014

2. In mathematics, a transformation
changes the position or
orientation of a figure. The
resulting figure is the image of
the original.
Transformations

3. Transformations
Type of transformation to change the
position are:
Translations
Reflections
Rotations
In other transformations, such as
dilations, the size of the figure will
change.

4. Transformations

5. Identify the transformation as a reflection, translation,
dilation, or rotation.
Answer: The figure has been increased in size.
This is a dilation.
Identify Transformations

6. 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

7. 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

8. Identify the transformation as a reflection, translation,
dilation, or rotation.
Answer: The figure has been flipped over a line.
This is a reflection.
IdentifyTransformations

9. Translation
The figure slides along a straight line
without turning.
Transformations

10. TRANSLATION
What does a translation look like?
A TRANSLATION IS A CHANGE IN LOCATION.
x y
Translate from x to y
original image

11. 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

12. 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
y
A
B
C
2
2
–2
–4
4
4
–4
–2 D
D’
C’
B’
A’

13. REFLECTIONREFLECTION

14. REFLECTION
A REFLECTION IS FLIPPED OVER A LINE.
A reflection is a transformation that flips
a figure across a line.

15. 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

16. REFLECTION
The 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.

17. REFLECTIONAL SYMMETRY
The 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?
Line of Symmetry

18. REFLECTIONAL SYMMETRY
How many lines of symmetry does each shape have?
Do you see a pattern?

19. REFLECTIONAL SYMMETRY
Which of these flags have reflectional symmetry?
United States of America
Mexico
Canada
England

20. 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

21. 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’

22. 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
–3
C’
B’