Definition of Reflecting a Point:
For a point P not on a line M, the reflection image of P over line M is the point Q IFF M is the _________ __________ of segment PQ.
PERPENDICULAR BISECTOR
Definition of Reflecting a Point:
For a point P on line M, the reflection image of P over line M is ____ __________
P ITSELF
What four things do Reflections Preserve?
Angle Measure, Betweenness, Collinearity, Distance.
Figure Reflection Theorem:
If a figure is determined by certain points, then its reflection image is the ____________ __________ determined by the reflection image of those points.
CORRESPONDING FIGURE
Perpendicular Bisector Theorem:
If a point is on the _____________ ____________ of a segment, then it is _____________ from the endpoints of the segment.
PERPENDICULAR BISECTOR, EQUIDISTANT
Flip-Flop Theorem:
If F and F’ are points or figures and r(F) = F’, then __________.
r(F’) = F
Definition of Symmetry Line:
A plane figure F is a __________-___________ figure IFF there is a line M such that rm(F’) = F. The line M is the ____________ ______ for the figure.
REFLECTION-SYMMETRIC,
SYMMETRY LINE
Segment Symmetry Theorem:
A segment has exactly two symmetry lines:
1) Its _________ __________, and
2) The Line __________ the segment.
PERPENDICULAR BISECTOR, CONTAINING
Side Switching Theorem:
If one side of an angle is reflected over the Line containing the __________ _________, then its image is the other side of the angle.
ANGLE BISECTOR
Angle Symmetry Theorem:
The line containing the _________ ___ ____ _______ is a symmetry line of the angle
BISECTOR OF AN ANGLE
