Notes Flashcards
invariant point
a point that doesn’t move after a transformation
Isometry
preimage is congruent to the image (same shape, same size)
maps onto
A -> A’
Preimage
the graph of an object BEFORE transformation
Image
the graph of an object AFTER a transformation
Preserved Properties by isometry
A-angle measure // same shape
B - betweenness
C- collinearity
D- distance // same size
transformation notation
TRANSLATION
T
subscript
Transformation Notation
REFLECTION
r y=x
Transformation Notation
ROTATION
R 90° (assume CCW)
R o,90°. (around origin)
Transformation Notation
DILATION
D K=3
Composition
Doing multiple transformations
Reversed Orientation
Ex. Reflection
Preserved
stays the same
Reflection
Perpendicular- flip of the figure
Reflection Rule- x-axis
(x,-y)
Reflection Rule
y-axis
(-x,y)
Reflection Rule
y=x
(y,x)
Reflection Rule
y=-x
(-y,-x)
rotation
turns every point of a preimage through a specified angle and direction about a fixed point
center of rotation
fixed point the preimage is rotated around (0,0)
Rotation- ALWAYS ASSUME
COUNTERCLOCKWISE
90° CCW
270° CW
180° CCW
180° CW
270° CCW
90° CW
