Geometry
Worksheet: Congruent Triangles ASA & AAS
Name ______________________
Date ____________ Period ___
Write a congruence statement between triangles and state the postulate implied. If you
cannot apply a postulate, write “no conclusion can be made.”
B
E
(( ))
A )
( C
1.
2.
A
))
((
)
B
C
_________________
by ________
W
(
D
D
_______________________
by ________
R
V
3.
4.
X
Y
Q
Z
_________________
by ________
)
))
<LKJ and <JLK
S
T
_______________________
by ________
Name the included side of the given angles of the triangle:
5. JKL : A) <JKL and <KJL
6. QRS :
B)
((
(
A) <SQR and <SRQ
B) <SRQ and <QSR
7. Assume that AB  CD and BAC  DCE . What additional
Information would you need to prove that ABC  CDE by
ASA? ______________________________
A
8. Assume that ABC  CDE and BC  DE . What additional
Information would you need to prove that ABC  CDE by
AAS? _______________________________
B
D
C
E
Draw a picture of the two given triangles and then mark congruent parts. Then use the
information to set up an equation and find your answer.
CDE  FGH , m<G = (x - 18)o, m<E = (x + 24)o, m<H = (2x - 12)o, GH = 2x - 21.
Find DE.
7.
8. RST  XYZ , m<R = (6x + 3)o, m<X = (8x - 9)o, and RT = 8x - 13. Find XZ.
9. JKL  MNO , m<K = (4x - 3)o, m<N = (2x + 21)o, m<L = (5x – 38)o, and m<O = (4x – 26)o.
Find the measure of <M.
10. Complete the following proof:
Given: PQ bisects <SPT
Statements
Reasons
SQP  TQP
Prove: SPQ  TPQ
P
S
T
Q
1. PQ bisects <SPT
1. _______________
2. _______________
2. def. of angle bisector
3. _______________
3. Given
4. _______________
4. Reflexive Property
5. SPQ  TPQ
5. _________________