Rigid Transformations

Rigid transformations are changes  in position or

orientation of a figure.  


Rigid  transformations include:  


•translations - slides along a straight line


• reflections - flips over a line of reflection


• rotations - turns on a fixed point.


Translations are best described as: 

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

Reflections are best described as: 

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

Rotations are best described as: 

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

translation

Identify the transformation shown in the diagram:

reflection

rotation

translation

reflection

rotation

Identify the transformation shown in the diagram:

translation

reflection

rotation

Identify the transformation shown in the diagram:
(3,2) → (-3,2)
What transformation is the following rule?   
(x, y) → (-x, y)

Rotation

Reflection

Translation

(-2,3) → (2,-3)
What transformation is the following rule?   
(x, y) → (-x, -y) 

Translation

Rotation

of 180 degrees

Reflection

(-1, 1) → (2, -3)

What transformation is the following rule?  

(x, y) → (x + 3, y - 4) 

Reflection

Rotation

Translation

When a shape is reflected across the "x" axis it is an

 up and down change.  This changes the sign of 

which coordinate in the ordered pair?

the "x" coordinate

the"y" coordinate

When a shape is reflected across the "y" axis it is a 

sideways flip. This changes the sign of 

which coordinate in the ordered pair?

the "x" coordinate

the "y" coordinate

both the x and y
Give the coordinates after a reflection over the x-axis.
A(4, -3) 
A'(      ,       )
Give the coordinates after a translation 
using  the following rule:  (x - 5, y + 4)
W(3, -7)
W'(       ,       )
Give the coordinates for the following trianglewhen rotated 90 degrees clockwise.
A(-4, 1)
B(-3, 6)
C(0, 6)
A'(        ,        )
B'(        ,        )
C'(        ,        )
A
B
C
Give the coordinates for the triangle when
reflected over the y-axis.
A(6, -2)

B(5, -9)

C(8, -4)
A'(        ,        )
B'(        ,        )
C'(        ,        )

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

Rigid transformations are best described as:

Students who took this test also took :

Created with That Quiz — the site for test creation and grading in math and other subjects.