Holt Geometry 4-5 Triangle Congruence: ASA and AAS 4-5 Triangle Congruence: ASA and AAS Holt Geometry Warm Up Lesson Presentation Lesson Quiz
4-5
Mar 21, 2016
4-5. Triangle Congruence: ASA and AAS. Holt Geometry. Warm Up. Lesson Presentation. Lesson Quiz. Do Now 1. What are sides AC and BC called? Side AB ? 2. Which side is in between A and C ? 3. Given DEF and GHI , if D G and E H , why is F I ?. - PowerPoint PPT Presentation
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Holt Geometry
4-5 Triangle Congruence: ASA and AAS4-5 Triangle Congruence: ASA and AAS
Holt Geometry
Warm UpLesson PresentationLesson Quiz
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
Do Now1. What are sides AC and BC called? Side AB?
2. Which side is in between A and C?
3. Given DEF and GHI, if D G and E H, why is F I?
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
• Apply ASA and AAS to construct triangles and to solve problems.
• Prove triangles congruent by using ASA and AAS.
Objectives
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
included side
Vocabulary
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AASExample 1: Applying ASA Congruence
Determine if you can use ASA to prove the triangles congruent. Explain.
Holt Geometry
4-5 Triangle Congruence: ASA and AASExample 2
Determine if you can use ASA to prove NKL LMN. Explain.
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AASExample 3: Using AAS to Prove Triangles Congruent
Use AAS to prove the triangles congruent.Given: X V, YZW YWZ, XY VYProve: XYZ VYW
Holt Geometry
4-5 Triangle Congruence: ASA and AASLesson Quiz: Part I
Identify the postulate or theorem that proves the triangles congruent, or determine “not possible.”
ASA
not possible
SAS or SSS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS
Congruence Postulates Extra Examples
SSS, ASA, SAS, AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS1. Given: A D
AB DEB E.
ASA
Holt Geometry
4-5 Triangle Congruence: ASA and AAS2. Given: C F
B E
AC DF.
AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS3. Given: C F
B E
BC EF.
ASA
Holt Geometry
4-5 Triangle Congruence: ASA and AAS4. Given: C F
AC DF
BC EF.
SAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS5. Given: A D
C F
BC EF.
AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS6. Given: AB DE
BC EF
AC DF.
SSS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS7. Given: C and F are rt. s
AB DE
A D.AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS8. Given: C and F are rt. s
AC DF
B E.AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS9. Given: C F
B E
AC DF.
AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS10. Given: C and F are rt. s
B E
BC EF.
ASA
Holt Geometry
4-5 Triangle Congruence: ASA and AAS11. Given: A D
AB DE
B E.
ASA
Holt Geometry
4-5 Triangle Congruence: ASA and AAS12. Given: A D
C F
BC EF.
AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS13. Given: BC ^ AC
EF ^ DF
AB DE
B E.AAS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS14. Given: AB DE
BC EF
AC DF.SSS
Holt Geometry
4-5 Triangle Congruence: ASA and AAS15. Given: C F
AC DF
BC EF.SAS
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