eometrical Transformation A geometrical transformation is a way of changing the position, size, or orientation of a shape while keeping its basic properties the same. It helps us see how shapes can move or change on a coordinate plane. The main types are: Translation – moving a shape from one place to another without rotating or flipping it. Reflection – flipping a shape over a line (mirror line) to create a mirror image. Rotation – turning a shape around a fixed point by a certain angle. Enlargement (or Dilation) – making a shape bigger or smaller, while keeping its shape the same. These transformations do not change the shape’s angles or proportions, only its position, size, or direction.

1. GEOMETRIC
TRANSFORMATIONS
GEOMETRIC
TRANSFORMATIONS

2. Define Rigid and Non-Rigid Transformations
1
Compare and Contrast Types of Transformations
2
Discuss Real World Applications of Transformations
4
Understand and Explain Types of Transformations
3
LEARNING TARGETS

3. Geometric transformations
are operations that change
the position, size, or
orientation of shapes while
preserving their basic
properties.
INTRODUCTION

4. Pre-image
NOTATION
Image
A B
D C
A'
B'
D'
C'
before transformation(s) after transformation(s)

5. RIGID NON-RIGID
Preserves size and shape
Also called isometries
Preserves shape but
not size

6. TYPES OF TRANSFORMATIONS
Translation - "slide"
Reflection - "flip"
Rotation - "turn"
Rigid
Dilation - "stretch or shrink"
Non - Rigid

7. A rigid transformation in which a
shape is moved vertically,
horizontally, or both.
Every point of the pre-image must
move the same distance in the
same direction.
TRANSLATION

8. A rigid transformation in which an
shape is mirrored across a line
called the line of reflection.
Every point in the image is the
same distance from the line of
reflection as their corresponding
points in the pre-image.
REFLECTION

9. A rigid transformation in which a
shape is turned a certain number of
degrees around a given point.
Every point in the image is the same
distance from the center of rotation
as their corresponding points in the
pre-image.
ROTATION

10. A rigid transformation in which a
shape made bigger or smaller by a
given factor called the scale factor.
A dilation that creates a larger
image is called an enlargement. A
dilation that creates a smaller image
is called a reduction.
DILATION
x
2

11. 1
Robotics and
autonomous
vehicles
2
Architecture and
interior design
3
REAL LIFE APPLICATIONS
Animation and
computer graphics

12. They play a crucial role in fields like computer graphics,
engineering, architecture, and art by enabling us to manipulate
and visualize shapes in various ways.
SUMMARY
Geometric transformations are operations that change the position,
size, or orientation of shapes while preserving their basic properties.
Understanding and utilizing geometric transformations
empowers us to unlock the magic of shape-changing possibilities.

13. Where else have you seen
transformations in your life?
Where else have you seen
transformations in your life?