9-5 congruence transformations.notebook

9­5 congruence transformations.notebook
April 18, 2017
9­5 Congruence Transformations
Perform the indicated transformations to triangle ABC. State the new coordinates of the vertices.
y
6
Two figures are congruent if and only if there is a sequence of one or more rigid motions that maps one figure onto the other. 5
4
B
3
2
C
­6
­5
­4
A
­3
­2
­1
1
0
­1
x
1
2
3
4
5
6
­2
­3
­4
­5
­6
Apr 4­7:29 AM
Apr 18­7:14 AM
Is triangle LMN congruent to triangle RST?
If yes, write a congruence transformation that maps triangle LMN to triangle RST.
y
6
5
L
4
3
T
S
2
1
­6
­5
­4
­3
­2
­1
0
­1
x
1
2
3
4
5
6
­2
M
N
­3
­4
­5
R
­6
Apr 4­7:32 AM
1