MATHEMATICS - WRITTEN WORK 1 A. Write/Draw the correct relation symbol (>, LM; MN + LM > IN; LM + IN > MN Proof: . Notice that since MN> LN and that MN > LM, then it is obvious that MN + LM > IN and MN + IN > LM are true. Hence, what remains to be proved is the third statement: LM + LN > MN Let us construct LP as an extension of LM such that L is between M and P, LP LN and A LMN is formed. M Quarter 4 Grade 8 MATH SCIENCE ENGLISH MAPEH Page 5 of Statements 1. LP EN 2. ALNP is an isosceles triangle. 2. 3. ZLNPZLPN 4. LPN ZMPN 5. ZLNPZMPN 6. MNP2LNM+LNP Reasons 1. By construction 3. Base angles of isosceles triangles are congruent. 4. 5. 6. Angle Addition Postulate