Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Geometry Midterm Review Day 1 Name Directions: Show all work on the back of this paper. While not every question requires work, many do, and you will not receive full credit on this of the back of this paper is blank. Write your answer only in the spaces provided on the front of this paper. Also, keep in mind that you may use one page of notes on the test. Chapter 1 Section 1.2 Points, Lines, and Planes *Look at all definitions (points, lines, rays, etc…) on pp 10-12 Do: p 13 # 3-6, 18, 28 18. 20. P 29 1. 2. Section 1.3 Segments and their measures *Look at segment addition postulate on p 18, distance formula on p 19, and Pythagorean theorem on p 20, review how to measure to the nearest millimeter Do: p 803 #14-20 even 3. 4. P 803 24. 26. Section 1.4 Angles and their measures *Look at parts of an angle on top of p 26 and the different types of angles on p 28, review how to measure with a protractor to the nearest degree Do: p 29 # 1-4 & p 803 #24-28 even P 804 33. 34. 35. 36. 28. 37. Section 1.5 Segment and Angle Bisectors *Look at the midpoint formula on p 35 and examples 3 & 5 on page 37. Do: p 804 #33-37 Section 1.6 Angle Pair Relationships *Look at the definition of vertical angles and linear pair on p 44, and complementary and supplementary angles on p 46. Do: p 47 #10, 12, 24, 30, 46, 50 P 47 10. 12. 24. 30. 46. 50. *1)Find the point 3/4 of the way from point A(2, 5) to point B(-3, 7) *Finding the point that divides a segment into a given ratio: Use the following formula: h x2 (k h) x1 h y2 (k h) y1 for A(x1,y1) , B(x2,y2) k k Do: Problems *1 & *2. and ratio h/k Answers: P 13 3. 4. 5. 6. 18. 28. P 803 14. 16. *2)Find the point 2/5 of the way from point A(0, -1) to point B(5, 10) Geometry Midterm Review Day 2 Name Chapter 3 Section 3.1 Lines & Angles *Look at p 131 the special angles formed by 2 lines and a transversal & p 129 note parallel, perpendicular, and skew Do: p 807 # 1-12 Do: p 434 #17*, 19*, 23 *For these problems, just give the coordinates of the point(s) after the transformations (You don’t need to draw these or anything.) **also do additional questions 1&2 Section 3.3 Parallel Lines & Transversals *Look at postulates and theorems on p 143 Do: p 808 #14-18 even P 807 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. P 808 14. 16. Section 3.6 Parallel Lines in the coordinate plane *Look at postulate 17 p 166 and example 6 p 167 Do: p 169 # 24, 32, 40 Section 3.7 Perp. Lines in the Coordinate Plane *Look at post. 18 on p 172 and examples 1, 3, & 5 Do: p 175 #8, 20, 27, 38 Chapter 7 Section 7.1 Rigid Motion in a Plane *Look at p 396 image, preimage, reflection, rotation, and translation, and p 397 isometry. Do: p 399 #5-7, 24, 25, 34 Section 7.2 Reflections *Look at the coordinate rules for reflections on p 404 , look at lines of symmetry on p 406. Do: p 407 #12, 48, p 815 #16, 18 Questions/Answers: 18. P 169 24. 32. 40. Section 7.3 Rotations *Note the following coordinate rules: 90o clockwise / 270o counterclockwise: (x, y) (y, -x) o 180 clockwise / counterclockwise: (x, y) (-x, -y) 270o clockwise / 90o counterclockwise: (x, y) (-y, x) Do: p 416 # 10-12, 34, p 816 #24 P 175 8. 20. 27. 38. p 399 5. 6. Section 7.4 Translations and Vectors *Look at describing translations in the coordinate plane (middle of p 422), and the component form of a vector on top of p 423. Do: p 425 #4, 16, 18, 26 7. 24. Section 7.5 Glide Reflections and Compositions *Look at all of the coordinate rules from sections 7.2 –7.4 (Make sure to write these down on your notes sheet!) p 407 25. 34. a= 12. b= 48. x= c= d= y= z= *MORE ON BACK Additional Problem #2: p 815 16. 18. Graph the figure below after the transformation (x,y) -> (x-3, y+4) p 416 10. 34. 11. 12. b= c= d= e= p 816 24. A= A’ = B= B’ = C= C’ = p 425 4. 16.(a) (b) 18. 26. p 434 17. 19. 23. P’ = P’’ = Q’ = Q’’ = R’ = R’’ = P’ = P’’ = Q’ = Q’’ = R’ = R’’ = then Additional Problem #1: What is the image of the point (4, -2) after the translation by the vector <-7, 9>? Geometry Midterm Review Day 3 Chapter 4 Section 4.1 *Look at triangle names on p 194; review triangle sum theorem on pp 196-197 Do: p 198 #20, 36 & additional Problem #1 Name Answers: P 198 20. 36. x= m Y= Section 4.2 Congruence & triangles *Look at congruent triangles, corresponding sides, and corresponding angles on p 202. Do: p 206, #10-12, 28 Section 4.3 & 4.4 Proving Triangles are congruent *Look at SSS, SAS, ASA & AAS; Do: p 809 #14, 15, 17-19, p 217 #20 mW = classify triangle: Additional Problem #1: Use the definition of congruence in terms of rigid motions to determine whether the two figures below are congruent. If they are congruent, state the series of rigid transformations that map one onto the other. Section 4.6 Isosceles, Equilateral, & Right triangles *Look at base angles thm p 236, HL p 238 Do: p 239 # 8, 11, 13, 15 Chapter 8 Section 8.1 Ratio and Proportion *Look at p 457 example 1 and remember how to cross multiply to solve proportions Do: p 462 #41, 55 P 206 10. 11. 12. 28. Section 8.2 Problem Solving with Proportions *Look at green boxes on p 465 and Example 2 Do: p 817 #13, 24 P 809 14. 15. 17. 18. Section 8.3 Similar Polygons *Look at examples 1 & 5, and scale factor Do: p 817 #26, 27 Section 8.4 Similar Triangles *Look at AA postulate on p 481 Do: p 818 #30, 31 Section 8.5 Proving Triangles are Similar *Look at p 488 SSS and SAS Do: p 818 #36, 38 Section 8.6 Proportions and Similar Triangles *Look at Theorems on p 498 & 499 Do: p 818, #40 (just solve for x) & additional problem #2 Section 8.7 Dilations *Look at Reductions and Enlargements and examples 1 & 2 on page 507 & 508 Do: p 818 #47 * additional problem #3 19. p217 20. 1. 2. 3. 4. P 239 8. 11. 13. 15. p 462 41. 55. 817 13. 24. *MORE ON BACK p 817 26. 27. u= y= z= p 818 30. 31. p 818 36. 38. p 818 40. x= Additional Problem #2 x Use the triangle proportionality theorem to solve for x & y. 12 26 y P 818 47. A’( , ) B’( , ) C’( , ) D’( , Additional problem #3. C 1 4 36 x B' B 15 10 Identify the dilation then use the scale factor to solve for a & b. k= ) 38 8 65 y D C' z D'