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Transcript
UNIT 4: CONGRUENT TRIANGLES
4.3b – Proving Triangles are Congruent: SSS and SAS
Congruent
Triangles in
Coordinate Plane
MA30: GEOMETRY
(Text Ref: Ch 4.3 Pg 212-219)
I. Congruent Triangles in Coordinate Plane
A. Use the SSS Congruence Postulate to show
ABC  FGH.
B. Use the SSS Congruence Postulate to show
NMP  DEF.
Example #1
Example #2
Using SSS or SAS
Congruence
Postulates
Prove Triangles
Congruent
Using SSS or SAS
II. Using SSS or SAS Congruence Postulates
A. Prove Triangles Congruent using SSS or SAS Congruence Postulates.
1) Prove KLM  NMP
2) Prove VWZ  YWX
4.3b – Proving Triangles are Congruent: SSS and SAS (continued)
Identifying
Included Angles
B. Identifying the Included Angle
Definition of Included Angle
For each triangle, name the included angle between the pair of sides.
1)
2)
MAT : MT and TA
CDA : CA and DC
3)
Prove Triangles
Congruent
Using SSS or SAS
Is There Enough
Information?
PSC : CS and PS
4)
WDG : DG and GW
C. Prove Triangles Congruent using SSS or SAS Congruence Postulates.
1) Prove GHJ  KHL
2) Prove ABC  FDE
D. Decide whether enough information is given to prove that the
triangles are congruent. If there is enough information, state the
congruence postulate you would use.
1) XYW , ZWY
2) MAE , TAE
3)
KHJ ,
JLK
4)
DKA,
TKS
5)
JKM ,
NKL
6)
TRA,
ARG