Skills Practice Workbook - Glencoe

5–6
NAME DATE PERIOD
Skills Practice
ASA and AAS
Write a congruence statement for each pair of triangles represented.
1. In �ABC and �ZXR, �C � �X, �A � �Z, and A�B� � Z�R�. �ABC � �ZRX
2. In �DEF and �BGO, �D � �B, �E � �O, and D�E� � B�O�. �DEF � �BOG
3. In �TRI and �GAN, �T � �A, T�I� � A�G�, and T�R� � A�N�. �TRI � �ANG
4. In �ZIP and �LOS, �P � �O, �I � �L, and P�I� � O�L�. �ZIP � �SLO
Name the additional congruent parts needed so that the triangles are congruent by
the postulate or theorem indicated.
5. AAS 6. ASA
M
�R � �D �S � �B
7. AAS 8. ASA
O
O�N� � A�C� or M�O� � B�A� X�Z� � B�C�
Determine whether each pair of triangles is congruent by SSS, SAS, ASA, or AAS. If it
is not possible to prove that they are congruent, write not possible.
9. F
10.
I
F
R D
A
C
SSS ASA
11. 12.
A
M B
N
B
H
N
C
C
A
G
V
K
not possible AAS
S T
© Glencoe/McGraw-Hill 30 Geometry: Concepts and Applications
A
X
X
C
Z
V
Y
S
C
A
R
B
B
T
R