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Name: Date: Geometry 8.6 Proofs and Logic Problems Determine whether the given information implies that QS || PT. Explain your reasoning. 2. 1. 1. Yes; QS divides two sides of triangle PRT proportionately (scale factor 5/2) 2. No; QS does not divide TR and PR proportionately. 3. Use the diagram shown to if you are given enough information to conclude that LP || MQ. If so, state the reason. a. b. c. a. no b. yes; If corresponding angles congruent, lines parallel c. yes; definition of similar triangles (corresponding angles are congruent) and then, if corresponding angles congruent, lines parallel 4. OR GB || FC || ED – given AG /GE = AB/BD – Since BG || ED, BG divides the sides of ΔADE proportionately GAB ≅ EAD – Reflexive prop. ΔABG ~ ADE – SAS Similarity Post. 5. multiplication Another way to think about the proportion is that you’re substituting XW for WY. And “division” is basically “canceling.”