Rigid Motions
Non Rigid Motions
Transformation Properties & Definitions
Sequences of Transformations
100
Name the following rigid motions:
1. A turn
2. A flip
3. A slide
1. Rotation
2. Reflection
3. Translation
100
A motion that increases or decreases size is a ______________.
dilation
100
With what transformation does the orientation change?
A reflection
100
What is the minimum degree of rotation that will map the figure onto itself?
120 degrees
200
Determine the rigid motion in the image below:
A reflection
200
Determine the y-coordinate of C' after a dilation with a scale factor of 1.5 centered at the origin.
3
200
This transformation preserves angle measurements but not segment lengths.
dilation
200
What type or types of symmetry does the figure below have? Rotational, Reflectional, Both or Neither
Both rotational and reflectional
300
What line or lines of reflection does the figure have? Vertical, Horizontal or both?
Vertical
300
After a dilation with a scale factor of 2, T'A' = ___ TA. (what numerical value)
2
300
Select the word that makes the statement true.
After a sequence of transformations including a dilation with a scale factor of 1/4 and a reflection over the line x=2, the angle measures are (preserved or not preserved), but the image is a (enlargement or reduction).
preserved & reduction
300
Describe the transformation or transformations that will take angle FHB to angle DGH
A translation and a reflection
400
According to the algebraic rule (x,y) -> (x-2, y+3), in what direction and distance will the pre-image transform?
left 2 and up 3
400
After a dilation with a scale factor of 2 centered at (0,0), this segment will overlap TH.
segment T'H'
400
Describe the transformations that occur with the following function notation:
-f(x-3)
A reflection across the x-axis and a translation right 3 units
400
Use function Notation to describe the transformation from angle EHB to angle HGD.
y = f(x-3)+3
500
Point A is located at (3,2). Determine the coordinates of A' after a 270 degree counterclockwise rotation.
(2,-3)
500
After a dilation with a scale factor of 2 centered at (0,0), the slope of this segment will be equal to the slope of HM.
segment H'M'
500
The vertices of a triangle are J(3,0), H(0,3), and S(-3,0). Which statements are true of the image of JHS after the sequence of transformations:
y= -f(x)
(x,y) -> (2x,2y)
1. H' (-3,0)
2. JHS ≅ J'H'S'
3. J'' (6,0)
4. J'H'S' ~ J''H''S''
5. y=x is a line of symmetry for JHS and J''H''S''
2,3,&4
500
A sequence of transformations was performed. After a 90 degree counterclockwise rotation, A'(-7,2). What is the algebraic description of the translation that takes A'->A''
(x,y)->(x+2, y-1)