9.5 congruence transformations.notebook
February 14, 2017
2/14/17 - Warm Up Problem
x
12
32
46
o
15
o
x
9.5 congruence transformations.notebook
February 14, 2017
Section 9.5 - Congruence Transformations
Goal: use compositions of transformations to prove that
figures are congruent
Composition: a series of transformations
How has the blue triangle been
transformed to create the red
triangle?
Theorem 9-1
The composition of two or more isometries
is an isometry.
9.5 congruence transformations.notebook
Glide Reflection:
the composition of a
translation (glide) and
a reflection
Translation
Reflection
T<7,0>
Rx-axis
Glide Reflection
February 14, 2017
9.5 congruence transformations.notebook
February 14, 2017
Congruence Transformation:
A composition of one or more rigid motions that maps
one congruent figure onto another.
Congruence Transformations may use:
1) translation
3) rotation
2) reflection
4) glide reflection
9.5 congruence transformations.notebook
February 14, 2017
What transformation(s) maps one figure onto the other?
P
Q
E
D
F
N
H
G
L
M
9.5 congruence transformations.notebook
February 14, 2017
What congruence
transformation maps
ABCD onto EFGH?
B
A
C
D
F
E
G
H
9.5 congruence transformations.notebook
February 14, 2017
Assignment:
9.5 Worksheet
B
C
A
D
E
F