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Transcript
Geometry
Grade 9 Math
E1
Interpret, represent and apply mapping
notation for transformations on the
coordinate plane
 Reflected
shapes have opposite
orientation (cw and ccw)
 Line segments __________are bisected
by the line of reflection
 For
every rotation, there is a point of
rotation (what the shape turns around)
 It does not change the orientation within
the shape
 Unless the point of rotation in within
the shape
 The
lines between matching angles and
the point of rotation are equal in a
rotation
 The angle between matching sides and
the point of rotation are all equal
H
I
G
J
K
B
L
 Orientation
of the shape does not change
 The sides must be proportional
 For
the next 4 slides, try to create the
mapping rule based on the different
transformations
 First, record the pre-image and image
coordinates
 Compare them in a table to look for a
pattern
 Attempt the mapping rule
 In
a reflection across the x-axis, values of
x stay the same, values of y become
negative y
 In a reflection across the y-axis, values of
y stay the same, values of x become
negative x
 At
a 90 rotation: x and y values will
interchange
 depending on the direction of the
rotation, x or y will become negative
 At 180 rotation: values are maintained
but become negative
 The
image is an amplification, so the
numbers are amplified as well
 Seen as a coefficient to x and y