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4.5 Day 2 Proving ∆s CongruentSSS and SAS
Learning Target : I can compare triangles and explain if they are congruent.
(G-Co.8)
So far if want to show triangles ≅ then we need to show all 6 parts ≅, not anymore :)
Side Side Side Congruence Postulate (SSS)
A
B
C
D
E
FIf show:then:
If 3 sides of one Δ is ≅ to 3 sides of another Δ, then the 2 Δs are ≅.
Side Angle Side Congruence Postulate (SAS)
R
S
T
W
XY
If RS ≅ XW, _____ ≅ _____, and ST ≅ WY,
then _______ ≅ _______
If 2 sides and included∠ of a Δ are ≅ , then Δs are ≅
1. GIVEN: AB ≅ DE, BC ≅ EF,
_____ ≅ _____
Use the SSS Congruence Postulate.
2. GIVEN: ∠ B ≅ ∠ E, BC ≅ EF ,
_____ ≅ _____
Use the SAS Congruence Post.
State the third congruence that must be given to prove that ΔABC ≅ ΔDEF using the indicated postulate or theorem.
Decide whether enough information is given to prove that the ∆s are ≅. If yes, state which reason you would use and write a congruency statement.
A
BC
D
3. 4.
YES or NO
If YES, SSS or SAS
∆ABC ≅ _____
YES or NO
If YES, SSS or SAS
∆LMN≅ _____
5. 6.
YES or NO
If YES, SSS or SAS
∆EFG ≅ _____
YES or NO
If YES, SSS or SAS
∆EFG ≅ _____
7.D
E
F
G
Given: DE ≅ DG , EF ≅ FG
Prove: ∆DEF ≅ ∆DGF
Given: MP ≅ NP, OP bisects ∠MPN
Prove: ΔMOP ≅ ΔNOP
8.
Prove: ∆ACM ≅ ∆BDM
Given: AC ≅ BD
M is midpoint of ABBA
DC
M
9.A and B are right s
Assignment:
4.5 Day 2
Worksheet