Geometry Honors Midterm REVIEW
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1 Class: Date: Geometry Honors Midterm REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If 1 and 2 are supplementary, what are the measures of the angles when m 1 = 4x 7 and m 2 = x + 12? 2. Write down everything you can conclude about the figure? 3. What is the intersection of plane HGE and plane HFX? 5. If the measure of RST is 130, find the measure of RST. 6. Point M is the midpoint of AB. If AM = 2x + 8 and MB = 10x + 5, find the length of AB. 7. Find the perimeter of ABCD to the nearest hundredth. 4. JK has a length of 10 units. If LM has endpoints L 3, 9 and M 1, 4, how much longer than JK is LM? 8. What are the conditional, converse, inverse and contrapositive statements? GIVEN: If m B = 90, then B is a right angle. 1
2 9. Write down everything you can identify in the diagram? 13. Give examples of all of the angle pair relationships. 10. Give examples of the distributive, transitive, symmetric and reflexive properties. 14. Name all pairs of congruent triangles? 11. P and Q are complementary. If m P is double m Q, find m P and m Q. 12. Describe the lines passing through the given points as perpendicular, parallel or neither. Give and equation for each line. Line 1: 5, 8, 4, 3 Line 2: 4, 9, 2, Name all pairs of congruent triangles. 16. Given a triangle with vertices A 4, 1, B 3, 0, and C 7, 2. What are the new points if ABC is reflected in the x-axis? 2
3 17. What can you conclude about the triangles? What parts are congruent? 19. What is the value of y? 18. The midpoint of FG is M 1, 3. One endpoint is F 2, 5. Find the coordinates of endpoint G. 20. What are the new coordinates for the glide reflection of left 2, up 4 and across the y-axis. A(2,2), B(5,5), C (7.7) Multiple Response Identify one or more choices that best complete the statement or answer the question. 21. Given the points A 3, 8 1, 8, what is the midpoint of AB? d. x e. x c. x 22. Be able to identify all the triangle points of concurrency and their attributes. 23. Given the inscribed circle with center M, which can you conclude? 24. Name all of the congruent triangles? 3
4 26. Name the type of triangle. 25. What are the coordinates of the three vertices if you rotate them 90 degress around the origin and then do a reflection across this line? 27. What are the sides of the triangle listed from greatest to least? Graph DEF with vertices D -3, 3, E 1, 3, and F 2, 7. Then graph its image after the given transformation. 29. What are the coordinates of the triangle after performing a dilation with a scale factor of 1/3? 28. Rotate the coordinates 180. Then translate using x, y x + 1, y 1. A (1,1), B ( 9, -2) and C(4,-8). 4
5 30. Use the graph below to complete the sentence. 35. Give an example of a translation, reflection and rotation. 36. How do you find the centroid, incenter, orthocenter and circumcenters? Give an example of each. 37. Write the equation of the line with slope = 2 and y-intercept = What is the length of JM? Give an example of a possible glide reflection for the transformation. 31. If a triangle has one lines of symmetry, then it is. 32. The point A( 7, 6) is translated onto A by the vector u = 5, 4. The coordinates of A are. 33. Find all the angles in the figure. 39. If RS, RT, ST, WY, WZ, and YZ are all midsegments, find RS. 34. Triangle ABC has vertices A 0,0,B 4,0, and C 4,4. Triangle ADE has vertices A 0,0,D 12,0, and E 12,12. What is the scale factor of the dilation that moves ABC onto ADE? 40. Parallel lines are cut by a transversal. Angles A & B are same side exterior angles. Find x if A = 2x-2 and angle B = 6x. 5
6 41. What is the equation of the line through point 2, 1 and perpendicular to the line through 4, 1 and 7 2? 50. Two parallel lines are cut by a transversal. Which theorem(s) would you use to support the statement m A + m B = 180. Name the possible angle pair relationship(s). 42. Name and identify the types of triangles in the figure. 43. What best describes the relationship between the slopes of the lines 9x 2y = 1 and line x + 3y = 12? 44. Find the slope of a ladder placed 4 feet from the wall and touching the wall at a height of 22 feet. 45. Draw pictures of all the triangle pair congruence theorems. 46. If two sides of one triangle are congruent to two sides of a second triangle, then the two triangles are?. 47. Given DEF WXY. Draw an example of these triangles using the ASA theorem. 48. Point A is the incenter of FGH. What is the incenter and how can it be used? 49. Draw an example of the Hinge Theorem. What can you conclude? 6
7 Geometry Honors Midterm REVIEW Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: Level B TOP: SAT/ACT, Chapter 1 2. ANS: A PTS: 1 DIF: Level B NAT: NT.CCSS.MTH G.CO.1 TOP: Standardized Test, Chapter 1 MSC: DOK 1 3. ANS: B PTS: 1 DIF: Level B NAT: NT.CCSS.MTH G.CO.1 TOP: Standardized Test, Chapter 1 MSC: DOK 1 4. ANS: A PTS: 1 DIF: Level B TOP: Standardized Test, Chapter 1 5. ANS: B PTS: 1 DIF: Level B TOP: Standardized Test, Chapter 1 6. ANS: A PTS: 1 DIF: Level B TOP: Standardized Test, Chapter 1 7. ANS: A PTS: 1 DIF: Level B TOP: Standardized Test, Chapter 1 8. ANS: B PTS: 1 DIF: Level B TOP: Standardized Test, Chapter 2 9. ANS: B PTS: 1 DIF: Level B TOP: Standardized Test, Chapter ANS: A PTS: 1 DIF: Level B TOP: Standardized Test, Chapter 2 MSC: DOK ANS: B PTS: 1 DIF: Level B TOP: Standardized Test, Chapter ANS: A PTS: 1 DIF: Level B NAT: NT.CCSS.MTH G.GPE.5 TOP: SAT/ACT, Chapter ANS: B PTS: 1 DIF: Level B NAT: NT.CCSS.MTH G.CO.9 TOP: Standardized Test, Chapter 3 MSC: DOK ANS: A PTS: 1 DIF: Level B TOP: Standardized Test, Chapter ANS: B PTS: 1 DIF: Level B TOP: Standardized Test, Chapter ANS: A PTS: 1 DIF: Level B NAT: NT.CCSS.MTH G.CO.6 TOP: Standardized Test, Chapter ANS: A PTS: 1 DIF: Level B TOP: Standardized Test, Chapter ANS: A PTS: ANS: B PTS: ANS: A PTS: 1 DIF: Level B REF: MLGE0360 TOP: Lesson 9.5 Apply Compositions of Transformations KEY: glide reflection NOT:
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