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Congruent Triangles Review

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Presentation on theme: "Congruent Triangles Review"— Presentation transcript:

1 Congruent Triangles Review
Honors Geometry CCHS

2 Which rule proves the triangles congruent?

3 ASA

4 What rule proves the triangles congruent?

5 SAS

6 What rule proves the triangles congruent?

7 Not enough information (SSA labeling)

8 What rule proves the triangles congruent?
Given: 𝑨𝑩 ≅ 𝑩𝑪 𝑩𝑫 𝒃𝒊𝒔𝒆𝒄𝒕𝒔<𝑨𝑩𝑪

9 SAS

10 What rule proves the triangles congruent?

11 Not enough information (AAS labeling)

12 What rule proves the triangles congruent?
Given: <𝑾≅<𝑲 𝑾𝑽 ≅ 𝑽𝑲

13 ASA

14 One Step Proof: Given: <𝑍𝑊𝑋≅<𝑋𝑌𝑍 <𝑋𝑊𝑌≅<𝑍𝑌𝑊 Prove: <𝑍𝑊𝑌≅<𝑋𝑌𝑊

15 Subtraction Property

16 One Step Proof Given: <1 comp. <4 <2 comp. <3 <𝟏≅<𝟐 Prove: <3≅<4

17 If angles are complementary to congruent angles, then they are congruent

18 One Step Proof Given: 𝑊𝑌 ≅ 𝑋𝑍 Prove: WX ≅ YZ

19 Subtraction Property

20 One Step Proof: Given: 𝐷𝑀 ≅ 𝑁𝐹 M and N are mdpts Prove: DG ≅ FG

21 Multiplication Property

22 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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