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4.2B and 4.3 Notes Congruent Triangles and SSS. Definition of Congruent Triangles: If 3 sides and 3 angles of a triangle are equal, then the triangles.

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Presentation on theme: "4.2B and 4.3 Notes Congruent Triangles and SSS. Definition of Congruent Triangles: If 3 sides and 3 angles of a triangle are equal, then the triangles."— Presentation transcript:

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B  K D  CD  C F  AF  A

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

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

6 Side-Side-Side (SSS) Congruence Postulate A BCD4cm EF

7 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. Yes, SSS  IJH   KJH

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

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

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

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

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


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