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Geometry Test Review: Understanding Triangle Types and Properties

This review focuses on the properties and types of triangles, including isosceles, scalene, equilateral, acute, right, and obtuse triangles. Key concepts include triangle congruence and methods such as SSS, SAS, and ASA. The review also covers important theorems related to vertical angles, transitive, reflexive, and symmetric properties, as well as the relationships between angles and sides. Additionally, we address circumcenter, orthocenter, centroid, and incenter characteristics to enhance understanding of triangle centers.

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Geometry Test Review: Understanding Triangle Types and Properties

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  1. Unit 5 Test Review Answers • Isosceles • Scalene • Equilateral • Acute/equiangular 5. right 6. obtuse • equilateral scalene isosceles • 7. acute 8. right 9. obtuse • isosceles isosceles scalene • x + 30 = 2x – 12 11. 3x+40+5x+20=180 • x = 42 x = 15 • 12. 13.

  2. a. SSS b. HL C. SAS D. NO • 1. 1. Given • 2. 2. Vertical ‘s are congruent • 3. 3. SAS 16. 3 4 • Alter. int. ’s AB // CD given AE  DE  ABE  DCE given • ASA 12 • Vertical ’s

  3. transitive • reflexive • symmetric • substitution • 30 units • 54units • // ____ , // ____, // _____ • LQ=12,PQ=24,MN=12 • 18 • 20

  4. 1. 1 and 2 are right ’s 1. given 28. 2. 2. given 3. 3. reflexive 4. 4. HL 5. Q  S 5. CPCTC  • a) Assume does not bisect CAD • b) Assume is not isosceles 30. 1. 1. given 2. Assume 2. Assumption leading to contradiction 3. 3. Corresponding ’s are  4. l is not parallel to m 4. Contradiction of 1 and 3

  5. third side • between 5 and 25 • larger • smallest • c and d • the hypotenuse • largest C; smallest A • 20 • 65 • 30 • 60 • 25 and • 40 and

  6. x > 15 • 2x < x + 10 • x < 10 • circumcenter • orthocenter • centroid • incenter • circumcenter • centroid • incenter • incenter • circumcenter • centroid and incenter

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