9.5 congruence transformations.notebook
February 14, 2017
2/14/17 - Warm Up Problem
Find the value of x and y on each triangle.
x
12
y
32
y
o
15
46
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 combination of two 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 across a
line parallel to the
direction of translation
Translation
Reflection
T<7,0>
Rx-axis
Glide Reflection
February 14, 2017
9.5 congruence transformations.notebook
Congruence Transformation:
A composition of one or more rigid motions that maps
one congruent figure onto another.
Congruence Transformations may use:
3) rotation
1) translation
4) glide reflection
2) reflection
February 14, 2017
9.5 congruence transformations.notebook
February 14, 2017
Write a Congruence Transformation
What is the
congruence
transformation that
maps EDF to MLN?
E
D
F
N
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
What congruence
transformation maps
ABC onto EFG?
February 14, 2017
E
G
A
F
B
C
9.5 congruence transformations.notebook
Assignment:
9.5 Worksheet
February 14, 2017