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Published byJody Stewart Modified over 9 years ago
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4.2B and 4.3 Notes Congruent Triangles and SSS
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Definition of Congruent Triangles: If 3 sides and 3 angles of a triangle are equal, then the triangles are congruent
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If ∆BDF ∆KCA, then Corresponding sides are: Corresponding angles are: B KB K D CD C F AF A
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1. Given GEO FUN, name all corresponding angles and sides. Sides Angles G FG F E UE U O NO N
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2. In the diagram, EFG OPQ. Complete the statement. 7km 110° FF QQ 7km QPO
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Side-Side-Side (SSS) Congruence Postulate A BCD4cm EF
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If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________. congruent
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Decide whether the congruence statement is true. Explain your reasoning. Yes, SSS IJH KJH
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Decide whether the congruence statement is true. Explain your reasoning. Yes, SSS
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Decide whether the congruence statement is true. Explain your reasoning. No,
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4. Given: Prove:∆ABC ∆ADC Given Reflexive Prop. ∆ABC ∆ADC SSS 1. 2. 3. 4. Statements Reasons
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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
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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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