Transformations

Transformations

Changing a shape in the coordinate plane

Shape before ​change : Preimage

Shape after change : Image​

TRANSFORMATION:

​Image

​Preimage

​Preimage

​Preimage

​Image

​Image

​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

Is the blue shape Image or Preimage?

• Image

• Preimage

• We can't tell!

Multiple Choice

Which of the following are corresponding sides in the transformation?

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

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

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

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

Rotation = ​Turn

Reflection =Flip

Translation = Slide

Dilation = ​Enlarge/Reduce

​

tHERE ARE 4 TYPES OF trNASFORMATIONS

Multiple Choice

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

• Rotation

• Reflection

• Translation

• Dilation

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:

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

The translation image of $$\Delta LMN\ is\ \Delta L'M'N'$$  with L'(1,-2), M'(3,-4), N'(6,-2).

Which rule describe the translation?

• $$T_{<-5,1>}=\left(x-5,\ y+1\right)$$  

• $$T_{<1,7>}=\left(x+1,\ y+7\right)$$  

• $$T_{<5,-1>}=\left(x+5,\ y-1\right)$$  

• $$T_{<7,-1>}=\left(x+7,\ y-1\right)$$  

​GRAPHING TRANSLATIONS

LET'S PRACTICE  !!

FINDING COORDINATES

WRITE RULE