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Proving Triangles CongruentSSS Postulate, SAS Postulate ASA Postulate, AAS Theorem & HL Theorem
Side - Side - Side PostulateC B If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. ABC DEF F E D
SSS Example: E T I K ITK ETK
Side - Angle - Side PostulateJ L K If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are JKL MNO O N M
SAS Example ARK ? K N E R A ERN
Angle - Side - Angle PostulateR Q P If two angles and the included side of one triangle are to two angles and the included side of another triangle, then the triangles are PQR STU U T S
ASA Example YMA ? M Y R A YRA AY Bisects < MAR
Angle - Angle - Side TheoremZ Y X If two angles and a nonincluded side of one triangle are to two angles and the corresponding nonincluded side, then the triangles are XYZ JAC C J A
AAS Example K Y R E RKY ? KRE
Hypotenuse-Leg TheoremIf the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are RPW SBM R W P M B S
HL Example Q QMC ? M QHC H C
Example 1 M E K I IEM ? IEK Property? SAS
Example 2 RBA ? T I B A IBT Property? R ASA
MOU ? None Property? Example 3 None: SSA isn’t a property O U S M
Example 4 RIK ? K S I R SKI Property? SSS
Example 5 SIL ? L A S I LAS Property? AAS
Example 6 RBI ? R B G GBI Property? HL I
MISSING PARTS What information do you need to prove the following triangles are congruent by SAS? Q E W T R
MISSING PARTS What information do you need to prove the following triangles are congruent by ASA? D F 63o G 63o A S
MISSING PARTS What information do you need to prove the following triangles are congruent by AAS? Y T I U
MISSING PARTS What information do you need to prove the following triangles are congruent by SSS? Y 6 B C 6 V
MISSING PARTS What information do you need to prove the following triangles are congruent by HL? Q M H C
4.5 Proving Δs are : ASA and AAS & HL
Proving Triangles Congruent
5.4 Hypotenuse – Leg Congruence Theorem: HL
4.6 Congruence in Right Triangles
Hypotenuse – Leg Congruence Theorem: HL
CCGPS Analytic Geometry
1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.
6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.
Congruent Polygons Have congruent corresponding parts. Have congruent corresponding parts. When naming congruent polygons, always list corresponding vertices.
4.4 & 4.5 Proving Triangles Congruent
CHAPTER 4 Congruent Triangles SECTION 4-1 Congruent Figures.
WARM-UP. SECTION 4.3 TRIANGLE CONGRUENCE BY ASA AND AAS.
4-4 & 4-5: Tests for Congruent Triangles
Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.
WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)
Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.
Honors Geometry Section 4.3 AAS / RHL
Triangle Congruence. Define congruent…. Triangle ABC is congruent to Triangle FED. Name 6 congruent parts…
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