Download Section 4

GEOMETRY
SECTION 4 - 3
TRIANGLES CONGRUENT BY ASA POSTULATE and AAS THEOREM
NOTES/PRACTICE
GOALS:
1.
To be able to determine whether triangles are congruent using the ASA
Postulate
2. To prove the AAS THEOREM.
3. To be able to prove triangles congruent using ASA Postulate and AAS Theorem.
Angle – Side – Angle Postulate: What would have to be true about what we know for these
two triangles to be congruent using the ASA postulate? Indicate this in the figure and then
write the congruency statement for the triangles.
______  _______
H
Q
T
M
A
Can you use it???
L
P
Given : MN  PN
N
M  P
Prove:LMN OPN
M
O
STATEMENTS
REASONS
GEOMETRY
SECTION 4 - 3
TRIANGLES CONGRUENT BY ASA POSTULATE and AAS THEOREM
NOTES/PRACTICE
Taking it a step further….
L
P
Given : LM  PO
N
N is the midpoint of LO
Prove:LMN OPN
M
O
STATEMENTS
REASONS
The givens gave you two ________________________ angles and the ___________________
side…were you able to prove the two triangles congruent? _____________.
PROVED the _______________________________________.
L
P
Given : LM  PO
N
LM  PO
Prove:LMN OPN
M
O
STATEMENTS
REASONS