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Side-Side-Side (SSS) Congruence Postulate

Side-Side-Side (SSS) Congruence Postulate. All Three sides in one triangle are congruent to all three sides in the other triangle. Side-Angle-Side (SAS) Congruence Postulate. Two sides and the INCLUDED angle (the angle is in between the 2 marked sides).

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Side-Side-Side (SSS) Congruence Postulate

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  1. Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle

  2. Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides)

  3. 2 markings you can add if they aren’t marked already

  4. Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent

  5. 1.BC || AD 3. BC  AD 4. BD BD Example 4: Proving Triangles Congruent Given: BC║ AD, BC AD Prove: ∆ABD  ∆CDB Statements Reasons 1. Given 2. CBD  ABD 2. Alt. Int. s Thm. 3. Given 4. Reflex. Prop. of  5.∆ABD  ∆CDB 5. SAS Steps 3, 2, 4

  6. 2.QP bisects RQS 1. QR  QS 4. QP  QP Check It Out! Example 4 Given: QP bisects RQS. QR QS Prove: ∆RQP  ∆SQP Statements Reasons 1. Given 2. Given 3. RQP  SQP 3. Def. of bisector 4. Reflex. Prop. of  5.∆RQP  ∆SQP 5. SAS Steps 1, 3, 4

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