Download 6.2- Triangle Congruency

Integrated Math 1 Extended - Unit 6
Name: __________________________
6.2- Triangle Congruency
Date: _____________ Period: ______
Objective: To determine which postulate (ASA, SSS, SAS, AAS) would be used to prove triangles
are congruent.
WARM UP:
VOCABULARY:
Included Side: The side that connects the pair of angles that are corresponding.
Included Angle: The angle that is formed by two pairs of corresponding sides.
THEOREM:
Reflexive Property (of equality):
The property that states that any side or angle is congruent to itself.
POSTULATES:
Side- Side- Side (SSS): To prove that two triangles are congruent by using all three
corresponding sides.
Side- Angle- Side (SAS): To prove that two triangles are congruent by using two pairs
of corresponding sides and the pair of included angles.
Angle- Side- Angle (ASA): To prove that two triangles are congruent by using two pairs
of corresponding angles and the pair of included sides.
Angle- Angle- Side (AAS): To prove that two triangles are congruent by using two pairs
of corresponding angles and a pair of non-included sides.
Example #1:
Determine which postulate should be used to prove the triangles are congruent based on the
information in the diagram. If there is no postulate to prove the triangles are congruent, write
“NONE”.
A.)
B.)
C.)
D.)
E.)
F.)
G.)
H.)
Example #2:
Determine which postulate should be used to prove the triangles are congruent and write the
triangle congruency statement. If there is no postulate to prove the triangles are congruent,
write “NONE”.
A.) ∆𝐴𝐶𝐵 ≅ ______________
by:
B.) ∆𝐴𝐷𝐶 ≅ ______________
by:
C.) ∆𝐴𝐵𝐶 ≅ ______________
by:
E.) ∆ ____ __ ≅ ∆____
D.) ∆𝐷𝐸𝐶 ≅ ______________
by:
G.) Given: I is the midpoint of ̅̅̅̅̅
𝑀𝐸 and ̅̅̅
𝑆𝐿
∆ ____ __ ≅ ∆_________
I.) ∆ ____ __ ≅ ∆_________
by:
F.) ∆ ____ __ ≅ ∆_________
by:
H.) Given: ⃗⃗⃗⃗
𝐼𝐻 bisects ∠𝑊𝐼𝑆
∆ ____ __ ≅ ∆_________
by:
by:
by:
J.) ∆ ____ __ ≅ ∆_________
by:
Example #3:
Determine what additional information is needed to prove the triangles are congruent based
off the postulate and explain why.
A.) SAS
B.) AAS
C.) SSS
D.) ASA
E.) SAS
F.) ASA
G.) SAS
H.) SSS
I.) SAS