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Congruent Triangles Review
Honors Geometry CCHS
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Which rule proves the triangles congruent?
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ASA
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What rule proves the triangles congruent?
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SAS
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What rule proves the triangles congruent?
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Not enough information (SSA labeling)
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What rule proves the triangles congruent?
Given: 𝑨𝑩 ≅ 𝑩𝑪 𝑩𝑫 𝒃𝒊𝒔𝒆𝒄𝒕𝒔<𝑨𝑩𝑪
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SAS
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What rule proves the triangles congruent?
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Not enough information (AAS labeling)
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What rule proves the triangles congruent?
Given: <𝑾≅<𝑲 𝑾𝑽 ≅ 𝑽𝑲
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ASA
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One Step Proof: Given: <𝑍𝑊𝑋≅<𝑋𝑌𝑍 <𝑋𝑊𝑌≅<𝑍𝑌𝑊 Prove: <𝑍𝑊𝑌≅<𝑋𝑌𝑊
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Subtraction Property
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One Step Proof Given: <1 comp. <4 <2 comp. <3 <𝟏≅<𝟐 Prove: <3≅<4
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If angles are complementary to congruent angles, then they are congruent
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One Step Proof Given: 𝑊𝑌 ≅ 𝑋𝑍 Prove: WX ≅ YZ
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Subtraction Property
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One Step Proof: Given: 𝐷𝑀 ≅ 𝑁𝐹 M and N are mdpts Prove: DG ≅ FG
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Multiplication Property
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Chapter 3 Tips Labeling Congruent Triangles: Follow around the perimeter of a labeled triangle Review Properties (sec in book) Proofs: LABEL DIAGRAMS!!! Proofs: Include all labeling steps in proof Triangle Congruence Proofs: Make sure you have THREE CONGRUENCE statements! (Label S and A) Proofs: Make sure you have satisfied requirements of IF statements before including a step.
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