8.4 HOMEWORK
Triangle Congruence: CPCTC
Name _____________________ Per_____
Provide the name & meaning of each symbol:
1.
name:____________
meaning: ______________________________
2.
name:____________
meaning: ______________________________
3.
name:____________
meaning: ______________________________
4.
name:____________
meaning: ______________________________
READ each congruence statement and DRAW the markings on the triangles.
WRITE a congruence statement for each pair of triangles.
11. What does CPCTC stand for? ____________________________________________________
Given the following congruence statement, identify congruent parts.
11.
14.
12.
15.
13.
16.
DIRECTIONS: Match each of the following triangles on this page with those on the
transparency (see transparencies provided in class). You may do any number of
transformations – reflections, rotations or translations – to match the triangles. Congruent
triangles will have congruent angles and sides. Complete the congruence statements below.
R
17.
BUG
18.
AIM
19.
RAD
__________
20.
CAT
__________
I
B
__________
__________
21.
DIP
__________
22.
RUN
23.
BIT
24.
SAT
__________
25.
FUR
__________
M
A
U
G
I
A
T
A
D
U
D
__________
__________
REVIEW
Draw the resulting reflection.
26)
27)
C
B
I
A
P
R
U
T
S
T
F
28)
Draw the location of A” if it is reflected across the indicated line of reflection.
29)
30)
A
A
N
R
31) Draw the translation
32) Draw the translation.
34) Draw the rotation
35) Draw the rotation
33) Identify the type of translation.
Use coordinate notation.
36) What are the coordinates after a 180 rotation?
A(8, 14) B(-6, 4) C(0, -12)
ANSWER KEY (Check your work!)
1) equal – same measure
3) congruent – same measure & same shape
11) side GI
17) DOG
27)
19) KIP 21) MOP
29) A’ is at (0,1)
23) MAP
31)
13) angle H
25) CAR
33)
35)
15) triangle HIG
A
M
K
P
D
T
I
P
D
U
F
O
G
R
M
A
C
A
P
G