Geometry 1st Semester Review 2013 Name ____________________ Date _____________ Hr _____ 4. FH = 56. Find the value of x and FG. 9. Refer to the diagram. 1. Find the value of x. a. Same-side Interiors: X = 12 X = 12 and FG =19 3& 5 4& 6 b. Corresponding: 1& 5 5. In ABC, AB = 12, BC = 15, and AC = 22. List the angles from largest to smallest. B, A, C 3& 7 2& 6 4& 8 2. Find the value of x. X=7 6. Write an equation of a line that is parallel to y = 3x+5 and goes through the point (-2, 6). Y = 3x+12 10. Would you use SSS, SAS, ASA,AAS, or HL with CPCTC to prove AD CB ? 7. Write the equation of a line that is perpendicular to 2x-4y=8 and goes through The point (-4,7) SAS Y = -2x -1 3. Graph quadrilateral ABCD with vertices A( – 5 , 2), B( –5, – 3 ), C( 2, – 3 ), and D( 2, 2 ) to determine its most precise name. 11. List the angles of ABC in order of angle measure from smallest to largest. 8. Find the value of x. X = 26 C , A, B 12. Find the midpoint between A( – 1, 5) and B(6, – 3). Rectangle 5 ,1 2 Geometry 1st Semester Review 2013 Name ____________________ Date _____________ Hr _____ 18. 13. The lengths of two sides of a triangle are 5 and 8. Which can be the length of the third side? A. 2 B. 13 C. 15 SSS 23. SSS D. 7 14. What is the distance between ( – 2, 3) and (4, – 1)? Round your answer to the nearest tenth. 19. 7.211 AAS Given three segments, determine if they could form a triangle. 15. Find the value of x. x 74 24. 14, 48, 50 Right 25. 6, 7, 9 Acute 20. Not Possible 26. For each pair of triangles, state the postulate or theorem you can use to prove the triangles congruent. If the triangles cannot be proven congruent, write not possible. 27. A girl 4 feet tall casts a shadow 3 feet long. At the same time, the shadow of her house is 18 feet long. How tall is her house? 21. SAS The house is 24 ft tall. 28. Name the coordinates of the image of after a composition using the given transformations in the order they appear. 16. HL 22. AAS 17. Not Possible 11 , 5, 7 Obtuse or ASA P(4, 5), Q(7, 1), R(8, 8) Translation: (x, y) (x, y – 7) Reflection: in the y-axis P”(-4,-2), Q”(-7,-6),R”(-8,1) Geometry 1st Semester Review 2013 Name ____________________ Date _____________ Hr _____ X = 4.09 Determine if the following triangles similar? If so, write the similarity statement, and name the postulate or theorem that you can use to prove they are similar. If not, write not similar. X = 13 34. Use the diagram to answer the following. 29. AA ABC X = 20 EDC 30. Not Similar 35. 20 x 7 15 y 7 31. SAS BAC SRT 36. Find the value of the variables for each of the following figures. 32. X = 20 x = 5.25 33. 37. 38. Which segment is the median? AG 39. Which segment is the altitude? AB 40. Which segment is the angle bisector? DE 41. Which segment is perpendicular bisector? 42. Give the coordinates of the points after a dilation with a scale factor of 2 for A(1,3) B(2, -2) and C(-4, 1) Plot both sets of points on the given graph. CF Geometry 1st Semester Review 2013 48. Find the geometric mean of 8 and 18. If the answer is not a whole number, leave it in simplest radical form. Geom Mean = 12 49. Find the geometric mean of 5 and 10. If the answer is not a whole number, leave it in simplest radical form. Geom Mean = 5 2 Name ____________________ Date _____________ Hr _____