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Explore Congruent Triangles & SSS Postulate

Discover the SSS congruence postulate through examples, explore corresponding angles and sides of congruent triangles. Practice proving triangle congruence with given statements and reasons.

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Explore Congruent Triangles & SSS Postulate

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  1. Unit 4 – Lesson 2 Congruent Triangles and SSS

  2. Definition of Congruent Triangles: If 3 sides and 3 angles of a triangle are equal, then the triangles are congruent

  3. If ∆BDF ∆KCA, then Corresponding angles are: Corresponding sides are: B  K D  C F  A

  4. 1. Given GEOFUN, name all corresponding angles and sides. Sides Angles G  F E  U O  N

  5. 2. In the diagram, EFGOPQ. Complete the statement. F 110° Q 7km 110° 7km QPO

  6. Side-Side-Side (SSS) Congruence Postulate E F 4cm B C 4cm D A

  7. congruent If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________. congruent

  8. Decide whether the congruence statement is true. Explain your reasoning. IJH  KJH SSS Yes,

  9. Decide whether the congruence statement is true. Explain your reasoning. SSS Yes,

  10. Decide whether the congruence statement is true. Explain your reasoning. No,

  11. 4. Given: Prove:∆ABC ∆ADC Statements Reasons 1. 1. Given 2. Given 2. 3. Reflexive Prop. 3. 4. ∆ABC ∆ADC SSS 4.

  12. A D C 5. Given: Prove: ∆ABD ∆CBD B Statements Reasons 1. 1. Given Given 2. 2. 3. 3. Def. of Midpt 4. Reflexive Prop. 4. 5. SSS 5. ∆ABD ∆CBD

  13. A D C B • Given: • Prove: ∆ACD ∆ACB Statements Reasons 1. 1. Given Def. of Segment Bisector 2. 2. 3. Given 3. 4. Reflexive Prop. 4. 5. 5. SSS ∆ACD ∆ACB

  14. HW Problem BACK PAGE # 16 H Ans: G F J

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