4.6 Prove ∆s ≅ by ASA and AAS Mrs. vazquez Geometry.

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4.6 Prove ∆s ≅ by ASA and AAS Mrs. vazquez Geometry

g.co.8, g.co10 Essential Question: What theorems can I use to prove two ∆s are ≅? Objective: Students will be able to use sides and ∡s to prove ≅.

∡-side-∡ ≅ postulate (ASA) If two ∡s and the included side of one ∆ are ≅ to two ∡s and the included side of another ∆, then the two ∆s are ≅.

∡-∡-side ≅ postulate (AAS) If two ∡s and the non-included side of one ∆ are ≅ to two ∡s and the non-included side of another ∆, then the two ∆s are ≅.

Prove ∆XWV≅∆ZWU Given: ∡X≅∡Z VW≅UW Z X Y V U W

Prove ∆NMK≅∆LKM Given: ∡NKM≅∡LMK ∡L≅∡N L N K M