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4.2B and 4.3 Notes

This educational resource covers the definition and properties of congruent triangles, focusing on the Side-Side-Side (SSS) Congruence Postulate. It explains that if three sides and three angles of a triangle are equal to those of another triangle, the two triangles are congruent. The content includes exercises for identifying corresponding angles and sides, along with proofs of triangle congruence using given definitions and properties. This guide serves as an essential tool for students studying geometry and understanding triangle relationships.

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4.2B and 4.3 Notes

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  1. 4.2B and 4.3 Notes 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 sides are: Corresponding angles 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. 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. SSS Yes,

  11. 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 B Statements Reasons 1. 1. Given Given 2. 2. 3. 3. Def. of Midpt 4. Reflexive Prop. 4. 5. SSS 5. ∆ABD ∆CBD

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