LL- If the two legs of a right triangle are congruent to the two legs of another triangle, then the triangles are congruent. LA-If the leg and an acute angle of one right triangle are congruent to the corresponding leg and an acute angle of another right triangle, then the right triangles are congruent.

1. LLCONGRUENCE THEOREMAND LA CONGRUENCE
THEOREM
Elton John B. Embodo

2. STATEMENTOF THE AIM
a) Identify whether triangles are congruent through LL Congruence
theorem or LA Congruence theorem;
b) Give additionalcongruent parts to complete theproof for
congruenttriangles;
c) Prove thatthetriangles are congruentby usingLL Congruence
theorem and LA Congruence theorem.

3. FOR GROUP 1 AND GROUP 2 FOR GROUP 3 AND GROUP 4
1. Draw a horizontal line having a
length 10cm and name it as .
2. Draw a vertical line perpendicular
to having a length 12cm and
name it as .
3. Connect the Point A and Point S to
form a right triangle name
4. .
1. Draw a right triangle and name it
as .
2. Make sure that is the right
angle.
3. measures 10cm.
4. Using a protractor, make sure that
measures 45 degrees.
DO THEFOLLOWING IN YOUR GROUP
TS
TS
AT
ATS
OPQ
P
PQ
Q

4. FIGURESOF GROUP 1 AND 2
A
T S
12cm
10cm
W
X
Y
12cm
10cm

5. FIGURES OF GROUP3 AND GROUP 4
O
P Q
J
K L
0
45
0
45
10cm 10cm

6. LL CONGRUENCE THEOREM
If the legs of one right triangle are congruent to thelegs of another
triangle,thenthe two triangles are congruent.
If and are right angles, and then .ATS WXY AT WX TS XY
ATS WXY  
A
T S
W
X

7. LA CONGRUENCE THEOREM
If a legand an acute angleof one right triangleare congruent to a leg
and an acute angleof another triangle,thenthe trianglesare
congruent.
If and are right triangles, and then .OPQ JKL PQ KL Q L  
OPQ JKL  
O
P Q
J
K L

8. Directions: Give additionalcongruentparts to complete theproof for
congruenttriangles throughLL Congruencetheorem or LA
Congruencetheorem. Statethe congruence thatpossibly prove them.
1.
2.

9. 3.
4.
5

10. ASSIGNMENT
Directions: Prove the following pairs of trianglesby usingLL
CongruenceTheorem and LA CongruenceTheorem.
Prove that throughLL and LA Congruencetheorem.
A
B
C
E
F
G
ABC EFG  