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Lesson 4-3: SSS, SAS, ASA 1 Lesson 4-3 Proving Triangles Congruent (SSS, SAS, ASA)

Proving Congruence

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  • Lesson 4-3: SSS, SAS, ASA*Lesson 4-3Proving Triangles Congruent(SSS, SAS, ASA)

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*PostulatesSSSIf the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.Included Angle:In a triangle, the angle formed by two sides is the included angle for the two sides.Included Side:The side of a triangle that forms a side of two given angles.

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*Included Angles & Sides Included Angle:Included Side:***

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*PostulatesASAIf two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the triangles are congruent.SASIf two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle, then the triangles are congruent.

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*Steps for Proving Triangles CongruentMark the Given.

    Mark Reflexive Sides / Vertical Angles

    Choose a Method. (SSS , SAS, ASA)

    List the Parts in the order of the method.

    Fill in the Reasons why you marked the parts.

    Is there more?

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*Problem 1 Step 1: Mark the Given Step 2: Mark reflexive sidesStep 3: Choose a Method (SSS /SAS/ASA )Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?SSSGivenGivenReflexive PropertySSS Postulate

    StatementsReasons

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*Problem 2 Step 1: Mark the Given Step 2: Mark vertical anglesStep 3: Choose a Method (SSS /SAS/ASA)Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?SASGivenGivenVertical Angles.SAS Postulate

    StatementsReasons

    Lesson 4-3: SSS, SAS, ASA

  • Lesson 4-3: SSS, SAS, ASA*Problem 3Step 1: Mark the Given Step 2: Mark reflexive sidesStep 3: Choose a Method (SSS /SAS/ASA)Step 4: List the Parts in the order of the methodStep 5: Fill in the reasonsStep 6: Is there more?ASAGivenGivenReflexive PostulateASA Postulate

    StatementsReasons

    Lesson 4-3: SSS, SAS, ASA