Fg 2 8 sg evens key
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1) The document provides geometry problems involving properties of angles, lines, and figures. It asks the reader to prove statements based on given information and definitions. 2) Several problems involve using properties like reflexive, symmetric, or linear pairs to prove angle congruence or find missing angle measures. Other problems require setting up and solving equations to determine values of variables. 3) Proofs are requested for statements about angles, lines, and figures based on given information like midpoints, bisectors, or variable expressions for angle measures. The goal is to logically justify or find a value based on definitions and the initial conditions provided.
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Fg 2 8 sg evens key
- 1. Formal Geometry 2.6-8 Review Evens
- 2. 2) 1. AB = AB 4) 1. ABC ≅ DEF 2. DEF ≅ ABC reflexive symmetric 8) 1. AB + BC = ED + BC 2. AB = ED 6) 1. 3x = 27 2. x = 9 subtraction division
- 3. 10) m3 = x + 40, m4 = x + 10 m5 = 3x + 30 3 4 5 m3 + m4 = 90 x + 40 + x + 10 = 90 2x + 50 = 90 2x = 40 x = 20 m3 = 20 + 40 = 60° m4 = 20 + 10 = 30° m5 = 90°
- 4. 12) m9 = 6x + 4, m10 = 4x + 14 6x + 4 11 9 m9 = m10 6x + 4 = 4x + 14 2x + 4 = 14 2x = 10 x = 5 m9 = 6(5) + 4 = 34° m10 = 34° m11 = 180 – 34 = 146° 10 4x + 14
- 5. 14) Given: 2(x +5) = 8(x – 7) Prove: x = 11
- 6. 16) Given: N is midpoint of MP P is midpoint of NQ Prove: M N P Q
- 7. B D 15x 18) Given: CEB and DEB are a linear pair. Prove: x = 5 20x + 5 E C A
- 8. 20) Given: bisects OIG bisects CIR Prove: CIORIG O C R I G