KEMBAR78
Aas congruence theorem | PPTX
Elton John B. Embodo
a) identify whether triangles are congruent through AAS Congruence
theorem or not;
b) Complete the proof for congruent triangles through AAS
Congruence Theorem;
c) Prove that the triangles are congruent through AAS congruence
theorem.
Given: and are right angles
Prove:
Proof:
P N
1 3  
1 2
4
3
M N
OP
MNO OPM  
Statement Reason
1. and are right angles
2.
3.
4.
5.
P N
P N  
1 3  
MO MO
MNO OPM  
Given: and are right angles
Prove:
Proof:
P N
1 3  
1 2
4
M N
OP
MNO OPM  
Statement Reason
1. and are right
angles
2.
3.
4.
5.
P N
P N  
1 3  
MO MO
MNO OPM  
Given
All right angles are congruent.
Given
Re flexivity
AAS Congruence Theorem
3
If two angles anda non-includedsideof one triangleare
congruent to the correspondingtwo anglesand a non-
includedsideof another triangle, then the two trianglesare
congruent.
and then,
P
O
Q
T
U S
,O S Q U     
PQ UT
OPQ STU  
Directions: Completetheproof for congruent trianglesthroughAAS
CongruenceTheorem by putting additionalcongruent parts on the
figures. Copy the figuresand list thecongruentparts of both
triangles.
1.
2.
M
R
O S
T
Q
K
E
S
Q
U
3.
4. 5.
S
V
T
U
O
N P
M
S
U V
T
DIRECTIONS: Prove thatthe two triangles below are congruent
throughAAS CongruenceTheorem.List 3 statementswith
corresponding reasons. Use ½ sheet of paper crosswise.
bisects at
Prove that
C
L
A
B
M
BL CM A
L B  
CAL BAM  

Aas congruence theorem

  • 1.
  • 2.
    a) identify whethertriangles are congruent through AAS Congruence theorem or not; b) Complete the proof for congruent triangles through AAS Congruence Theorem; c) Prove that the triangles are congruent through AAS congruence theorem.
  • 3.
    Given: and areright angles Prove: Proof: P N 1 3   1 2 4 3 M N OP MNO OPM   Statement Reason 1. and are right angles 2. 3. 4. 5. P N P N   1 3   MO MO MNO OPM  
  • 4.
    Given: and areright angles Prove: Proof: P N 1 3   1 2 4 M N OP MNO OPM   Statement Reason 1. and are right angles 2. 3. 4. 5. P N P N   1 3   MO MO MNO OPM   Given All right angles are congruent. Given Re flexivity AAS Congruence Theorem 3
  • 5.
    If two anglesanda non-includedsideof one triangleare congruent to the correspondingtwo anglesand a non- includedsideof another triangle, then the two trianglesare congruent. and then, P O Q T U S ,O S Q U      PQ UT OPQ STU  
  • 6.
    Directions: Completetheproof forcongruent trianglesthroughAAS CongruenceTheorem by putting additionalcongruent parts on the figures. Copy the figuresand list thecongruentparts of both triangles. 1. 2. M R O S T Q K E S Q U
  • 7.
  • 8.
    DIRECTIONS: Prove thatthetwo triangles below are congruent throughAAS CongruenceTheorem.List 3 statementswith corresponding reasons. Use ½ sheet of paper crosswise. bisects at Prove that C L A B M BL CM A L B   CAL BAM  