Introductions Transformations

Transformations

Changing a shape in the coordinate plane

Shape before ​change : Preimage

Shape after change : Image​

TRANSFORMATION:

​Image

​Preimage

​Preimage

​Preimage

​Image

​Image

Go watch this video.

TAKE NOTES.

You need to know rotation, translation, and reflection.

https://www.youtube.com/watch?v=m73VMHLzt-4

Sliding the shape in the coordinates plane by moving it:

Right (+) or Left (-) (on x Axis)

Up (+) or down​ (-) (on y Axis)

​All points move same distance.

TRanslations

TRanslation Rule

​

In this example we can write the rule as:

Take notes.

Rotation = ​Turn

Reflection =Flip

Translation = Slide

Dilation = ​Enlarge/Reduce

​

tHERE ARE 4 TYPES OF trNASFORMATIONS

Take notes.

Multiple Choice

Which of the following are corresponding sides in the transformation?

• $$\overline{CA}\ and\ \overline{ZY}\$$  

• $$\overline{AB\ }and\ \overline{ZX}$$  

• $$\overline{CB}\ and\ \overline{ZX}$$  

• $$\overline{CB}\ and\ \overline{ZY}$$  

Multiple Choice

Is the blue shape Image or Preimage?

• Image

• Preimage

• We can't tell!

Rigid Transformations

​TRANSFORMATION OF SHAPES CAN BE:

Multiple Choice

The Transformation in this picture is

• Rigid

• Non Rigid

• We can't tell!

Multiple Choice

Which of the following transformations is rigid?

Multiple Choice

Is the following transformation rigid or non-rigid?

• Rigid

• Non Rigid

• We can't tell!

Multiple Choice

Which of the 4 types of transformations is non-rigid transformation?

• Rotation

• Reflection

• Translation

• Dilation

Multiple Choice

Which rule describe the translation that maps PQRS into P'Q'R'S'?

• $$T_{<8,-2>}$$  

• $$T_{<8,2>}$$  

• $$T_{<-8,-2>}$$  

• $$T_{<-8,2>}$$  

Multiple Choice

Which rule describe the translation that maps PQRS into P'Q'R'S'?

• $$T_{<8,-2>}$$  

• $$T_{<8,2>}$$  

• $$T_{<-8,-2>}$$  

• $$T_{<-8,2>}$$  

Multiple Choice

Translations, rotations, and reflections are three different types of what?

• Transformations

• Geometry

• Vectors

• Shapes

Multiple Choice

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

A slide is also called a _________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

A flip is also called a _________.

• Translation

• Reflection

• Rotation

• Transformation

Multiple Choice

Congruent means...

• The same angles.

• The same size and same shape.

• Equal to.

• The same transformation.

Multiple Choice

Describe the Transformation

• Translation

• Reflection

• Rotation

Multiple Choice

Describe the transformation in the image.

• Translation

• Reflection

• Rotation

Multiple Choice

The original figure prior to a transformation.

• Pre-image

• Image

Multiple Choice

The result of a transformation.

• Pre-image

• Image

Multiple Choice

What is this picture an example of?

• Reflection

• Translation

• Rotation

• Dilation

Multiple Choice

Name the transformation.

• Translation

• Reflection

• Rotation

Multiple Choice

The mathematical term for the line that you reflect a shape over is the...

• Mirror

• Reflective tape

• Line that you reflect over

• Line of reflection

Multiple Choice

After a figure has been transformed, we call the new figure the...

• Image

• Different shape

• Figure that moved

• Prime