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Life is more accurately measured in the lives that you touch than in the things you acquire Proving Congruence SSS, SAS Chapter 4 Section 4 Learning Goal: Proving congruent triangles by SAS and SSS Congruence of Triangles--SSS Notice the Corresponding Parts ∆ABC ~ = ∆ZXY Using SSS in proofs E First Draw your picture. . . I G ??? F H E Prove: ΔFEG ΔHIG F G H I Using SSS in proofs Prove: ΔFEG ΔHIG E F G H I Using SSS in proofs E Prove: ΔFEG ΔHIG Statements 1. EI ~ = FH G F H I 1. Given 2. 2. Def. of Midpoint 3. ΔFEG ΔHIG 3. SSS Proving Triangle Congruence Proof: Statements Reasons 1. 2. 3. ΔABG ΔCBG 1. Given 2. _________ 3. SSS Congruence of Triangles -- SAS Notice the parts ∆ABC correspond and . . . The angle is in the middle ~ = ∆FDE Congruence of Triangles -- SAS Does the angle have to be in the middle? 5 3 3 4 4 SAS Hyperlink to Geometry Chapter 4 ppt slide 148 C:\Program Files\07 GEOM TX IC\07GEOM Chapter 04.ppt Watch out if it’s not in the middle Coordinate Geometry Determine whether ΔWDV ΔMLP for D(–5, –1), V(– 1, –2), W(–7, –4), L(1, –5), P(2, –1), and M(4, –7). Explain There is a Shortcut Use the Distance Formula to show that the Use Rise over Run corresponding sides areand right triangles to congruent. prove the distance is equal !!! It’s actually SAS Triangle Congruence Determine which postulate can be used to prove that the triangles are congruent. If it is not possible to prove that they are congruent, write not possible. SSS Triangle Congruence Which postulate, if any, can be used to prove that the triangles are congruent? SAS Triangle Congruence Which postulate, if any, can be used to prove that the triangles are congruent? Not possible Congruence in Right Triangles Z C 7 A 7 15 15 B X HL – Hypotenuse Leg Given: ~ Triangles = Y Homework Pages 230-232; #10, 15-18 all, 28, 31, 33, 35, 36-40(even), Copy the ∆ and do 44-49 (18 problems)