Triangle Congruence 4.2 /4.3 Day 2 SSS, SAS, ASA, AAS

Objectives  Know the 4 triangle congruence thms  Build triangle congruence proofs

Write down what pieces you know are congruent in the left margin of your notes. ∠ SRP ≅∠ QRP

How do you know? ∠ SRP ≅∠ QRP

1. Given 2. ∠ SRP ≅∠ QRP Def. of ∠ bisector 3.Reflexive 4. AAS ∠ SRP ≅∠ QRP

Write down what pieces you know are congruent in the left margin of your notes.

How do you know?

1. Given 2. Reflexive 3. AAS **

Write down what pieces you know are congruent in the left margin of your notes. ∠ BDA= ∠ BDC

How do you know? ∠ BDA= ∠ BDC

1.Given 2. ∠ BDA=90 ∠ BDC=90 Def. of ⊥ 3. ∠ BDA= ∠ BDC Substitution 4. Def. of ⊥ Bisector 5.Reflexive 6.ASA ∠ BDA= ∠ BDC

Transitive (or substit.) Def. of ∠ Bisector

Vertical ∠ s ≅ ∠ K ≅ ∠ M ∆ JKL ≅ ∆NML ASA (or AAS)

∆ ABD ≅ ∆CBD Given 3 rd ∠ Thm Reflexive ∠ ABD ≅ ∠ CBD; ∠ ADB ≅ ∠ CDB

∆ PQT ≅ ∆RQS Vertical ∠ s ≅

Objectives  Know the 4 triangle congruence thms  Build triangle congruence proofs

Homework  4.2/4.3 Practice #12-15  Proofs 12, 13, 14 is 3 steps  Proof 15 can be done in 4 steps  Kuta Software WS #11-18