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SSS/SAS/ASA Postulate 19 SSS (Side-Side-Side) Postulate 3 sides 3 sides If ____________ of one triangle are congruent to _____________ of a second triangle, then the triangles are congruent. P PE Example 1: __________ is the included side between P and E . Angle I is the included angle between PI and IE . __________ I E Included angle Postulate 20 SAS (Side-Angle-Side) Postulate two sides of one triangle and the included angle of one If _________________________________________________ two sides of another triangle and triangle are congruent to ____________________________________ ______________ the included angle of a second triangle, then the triangles are congruent. Included angle Postulate 21 ASA (Angle-Side-Angle) Postulate two angles and the included side If __________________________________________________of one two angles and the included side triangle are congruent to _____________________________________ _______________ of a second triangle, then the triangles are congruent. Included side Example 3: Determine whether each pair of triangles can be proven congruent by using the congruence postulates. If so, write a congruence statement and identify the postulate used. None is a possible answer. Given: E O, T B, ET BO I Given: F O, R L, Y I R W L F E T B 𝐴𝑆𝐴 ∆𝐼𝐸𝑇 ≅ ∆𝑊𝑂𝐵 O Y O 𝑛𝑜𝑛𝑒 I Given: TR RK , AR RC A Given: DS bisects IDC , IS = CS I C T D R S C K 𝑆𝐴𝑆 ∆𝐴𝑅𝑇 ≅ ∆𝐶𝑅𝐾 𝑛𝑜𝑛𝑒 Given: ET HG, EI IG E T Given: GR FO , FR RO G I H G 𝑡𝑤𝑜 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 𝑙𝑖𝑛𝑒𝑠 → 𝑠𝑝𝑒𝑐𝑖𝑎𝑙 𝑎𝑛𝑔𝑙𝑒𝑠 𝐴𝑆𝐴 ∆𝑇𝐼𝐸 ≅ ∆𝐻𝐼𝐺 F R O 𝑆𝐴𝑆 ∆𝐺𝑅𝐹 ≅ ∆𝐺𝑅𝑂