Geometry - Unit 3 Rigid Motions
90° clockwise rotation
(x,y) --> (y,−x)
180° clockwise and counterclockwise rotation
(x,y) -> (-x,-y)
Reflection over y axis
(x,y) -> (-x,y)
Relection over x axis
(x,y) -> (x,-y)
270° clockwise rotation
(x,y) → (-y,x)
90° counterclockwise rotation
(x,y) → (-y,x)
270° counterclockwise rotation
(x,y) → (y,-x)
Reflection over origin
(x,y)-->(-x,-y)
Reflection over y=x
(x,y)-->(y,x)
Reflection
A transformation that "flips" a figure over a mirror or reflection line.
Rotation
CIRCULAR MOVEMENT AROUND AN AXIS
rotational symmetry
The ability of a figure to be rotated less than a full circle and exactly match its original image
line of symmetry
a line that divides a figure into two halves that are mirror images of each other
Translation
a slide, simply means moving without changing size, shape, or orientation
rigid motion
a transformation that preserves length and angle measure