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Geometry Semester 1 Review Chapter 1 This chapter was over the fundamentals of geometry. We learned how to label an angle, line and plane. We learned about congruent segments, congruent angles, bisectors, supplementary angles, collinear points, skew lines, area, and perimeter. It is important to know how to find the area and perimeter of rectangles, triangles, and circles. Pg 16 # 19, 23, 27. Pg 24 # 15, 19. Pg 31 # 6, 29. Pg 38 # 27. Pg 54 # 40, 41. Pg 64 # 12, 24, 32, 51. Chapter 2 We started off this chapter with inductive reasoning. Inductive reasoning is just solving patterns. Then we worked on understanding conditional statements and deductive reasoning. This is we started with proofs. We started proofs with solving algebraic problems and then we moved onto proving vertical angles are congruent. Pg 85 # 6, 10, 11, 43 Pg 93 # 10, 17, 19, 22. Pg 101 # 11 Pg 117 # 13 Pg 125 #12, 16, 20, 21 Chapter 3 This chapter was about understanding the relationship between two parallel lines and a transversal line (a line that intercepts two other lines) going through them. We learned about corresponding, alternate interior and alternate exterior angles and how they are congruent when the transversal goes through two parallel lines and how same-side interior angles are supplementary. We also learned about graphing perpendicular and parallel lines in a coordinate plane from this chapter. Pg 153 # 12, 16, 19, 26 Pg 160 #10, 23, 47 Pg 167 # 2 Pg 175 # 11, 20, 31 Pg 194 # 18, 30, 66 Pg 201 # 2, 19, 37 Chapter 4 This chapter was all about proving two triangles are congruent. You learned how you can prove triangles are congruent by SSS, SAS, AAS, and SAS. You cannot use SSA or AAA to prove two triangles are congruent. We also talked about how you can prove two right triangles congruent by the Hypotenuse Leg Theorem (HL theorem). We also talked about corresponding parts in congruent triangles are congruent (Cpctc). We finished this chapter discussing overlapping triangles and how two congruent triangles can help you prove two other triangles congruent using corresponding parts (cpctc). Pg 231 # 17, 29, 35 Pg 239 # 13, 16, 17 Pg 247 # 9, 11 Pg 253 # 2, 11,25 Pg 263 # 7, 24 Pg 268 # 8, 18, 22 Chapter 5 We only covered a couple of things from this chapter. We learned about the midsegment of a triangle, perpendicular bisector theorems, and angle bisector theorems. We also learned about inequalities in a triangle and how to solve the range of the inequalities. Pg 296 # 6-8. Pg 288 # 39, 40. Pg 304 # 1 (For this problem, draw the perpendicular bisector of each side of the triangle then draw a circle using a compass) Pg 329 # 29 Pg 337 # 9, 13