Congruent Triangles Review

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GEOMETRY Proving Triangles are Congruent: ASA and AAS.

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Presentation transcript:

Congruent Triangles Review Honors Geometry CCHS

Which rule proves the triangles congruent?

ASA

What rule proves the triangles congruent?

SAS

What rule proves the triangles congruent?

Not enough information (SSA labeling)

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

SAS

What rule proves the triangles congruent?

Not enough information (AAS labeling)

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

ASA

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

Subtraction Property

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

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

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

Subtraction Property

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

Multiplication Property

Chapter 3 Tips Labeling Congruent Triangles: Follow around the perimeter of a labeled triangle Review Properties (sec. 2.4-2.7 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.