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Geometry Semester 1 Instructional Materials 2013-2014 2013-2014 Geometry Semester 1 Instructional Materials for the WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Math Common Final blueprint for this course. When used as test practice, success on the Instructional Materials does not guarantee success on the district math common final. Students can use these Instructional Materials to become familiar with the format and language used on the district common finals. Familiarity with standards vocabulary and interaction with the types of problems included in the Instructional Materials can result in less anxiety on the part of the students. Teachers can use the Instructional Materials in conjunction with the course guides to ensure that instruction and content is aligned with what will be assessed. The Instructional Materials are not representative of the depth or full range of learning that should occur in the classroom Sent on 9/27/13 Geometry Semester 1 Instructional Materials 2013-2014 Multiple Choice: Identify the choice that best completes the statement or answers the question. Figures are not necessarily drawn to scale. 1. Excluding straight angles, how many angles are shown in the figure? A. 7 B. 18 C. 19 D. 21 ( 2. In the figure A. and B. and C. and D. and ) and ( ) . Find and 3. What are coordinates for the image of quadrilateral ABCD after the translation of ( ) ( )? A. ( ) B. ( ) ( ) ( C. ( ) ( ) ( D. ( ) ( ( ) ) ( ( ) ( ) ( ) ) ) ) ( ( ) ) B C A D Sent on 9/27/13 . Geometry Semester 1 Instructional Materials 4. What are the coordinates for the image of ) ( origin and a translation of ( A. ( ) ( ) B. ( ) ( C. ( ) ( ) ( D. ( ) ( ) ( ) ( ( 2013-2014 after a rotation )? clockwise about the ) ) ) ) K G H is ( 5. Point Y of translation ( A. ( B. ( )? ). What is the image of Y after ) ) C. ( D. ( 6. Find the coordinates of the image of the point ( . is transformed using the ) ) ) when it is reflected across the line A. ( ) C. ( ) B. ( ) D. ( ) ) is rotated 7. The point ( counterclockwise about the origin, and then the image is reflected across the line . What are the coordinates of the final image ? A. ( B. ( ) ) 8. Reflect point H across the line ⃡ A. ̅̅̅̅ ̅̅̅̅ B. ̅̅̅̅ ̅̅̅̅̅ C. ̅̅̅̅ ̅̅̅̅̅ D. ̅̅̅̅ ̅̅̅̅̅ Sent on 9/27/13 C. ( ) D. ( ) to form point H’, which of the following is true? H G F Geometry Semester 1 Instructional Materials 9. is the angle bisector of 2013-2014 . What is the value of x? A. B. C. D. 10. In the figure, which pair of angles is supplementary? A. B. 1 4 C. D. 11. In the figure, the in terms of x. . Find E A A. B. C. D. Sent on 9/27/13 B C 6 5 2 3 8 7 Geometry Semester 1 Instructional Materials 2013-2014 For #12-13 use the following: Given: bisects Prove: J K 3 1 2 M L Statements bisects Reasons Given 12. 13. Substitution Property of Equality 12. Choose one of the following to complete the proof. A. Definition of angle bisector- If a ray is an angle bisector, then it divides an angle into two congruent angles. B. Definition of opposite rays- If a point on the line determines two rays are collinear, then the rays are opposite rays. C. Definition of ray- If a line begins at an endpoint and extends infinitely, then it is ray. D. Definition of segment bisector- If any segment, line, or plane intersects a segment at its midpoint then it is the segment bisector. 13. Choose one of the following to complete the proof. A. Definition of complementary angles- If the angle measures add up to are supplementary , then angles B. Supplemental Angle Theorem- If two angles are supplementary to a third angle then the two angles are congruent C. Definition of supplementary angles- If the angles are supplementary, then the angle’s measures add to . D. Vertical Angle Theorem- If two angles are vertical angles, then they have equal angle measures. Sent on 9/27/13 Geometry Semester 1 Instructional Materials 2013-2014 For #14 use the following: Given: and are supplementary, and Prove: Statements and are supplementary Reasons Given Given [1] [2] Substitution Property of Equality [3] 14. Fill in the blanks to complete the two column proof: A. [1] [2] Definition of Supplementary Angles [3] Subtraction Property of Equality B. [1] [2] Definition of Supplementary Angles [3] Substitution Property C. [1] [2] Definition of Supplementary Angles [3] Subtraction Property of Equality D. [1] [2] Definition of Complementary Angles [3] Subtraction Property of Equality 15. Point A is reflected over the line ⃡ . Which of the following is NOT true of line ⃡ ? A. line ⃡ B. line ⃡ is perpendicular to line ⃡ C. line ⃡ bisects line segment ̅̅̅̅ D. line ⃡ bisects line segment ̅̅̅̅̅ Sent on 9/27/13 is perpendicular to line ⃡ 65 60 110 120 Geometry Semester 1 Instructional Materials 2013-2014 16. Which statement is true based on the figure? b A. a c B. C. 65 110 d 60 D. 120 17. Draw two lines and a transversal such that are corresponding angles, and and angle pair is and ? A. e and are alternate interior angles, and are alternate exterior angles. What type of C. and are supplementary angles B. and are corresponding angles and are alternate exterior angles D. and Sent on 9/27/13 are vertical angles Geometry Semester 1 Instructional Materials 2013-2014 For #18-19 use the following: Given: Prove: t 1 4 8 Statements 2 3 p 5 6 7 q Reasons Given Alternate Interior Angles Theorem 18. 19. Substitution Property of Equality 18. Choose one of the following to complete the proof. A. B. C. D. 19. Choose one of the following to complete the proof. A. Vertical Angle Theorem- If two angles are vertical angles, then they have equal angle measures B. Supplemental Angle Theorem- If two angles are supplementary to a third angle then they are congruent C. Linear Pair Theorem- If two angles form a linear pair, then the angles are supplementary and their angle measures add to D. Definition of complementary angles- If two angles are a linear pair, then the angles are complementary and their angle measures add to 20. What are the coordinates of the point P that lies along the directed segment from ( ) to ( ) and partitions the segment in the ratio of 2 to 1? A. ( ) C. ( ) B. ( ) D. ( ) Sent on 9/27/13 Geometry Semester 1 Instructional Materials 2013-2014 21. An 80 mile trip is represented on a gridded map by a directed line segment from point ( ) to point ( ). What point represents 60 miles into the trip? A. ( B. ( ) ) C. ( ) D. ( ) 22. Which equation of the line passes through ( ) with a slope of A. C. B. D. 23. Which equation of the line passes through ( ? ? ) and is parallel to the graph of the line A. C. B. D. 24. Which equation of the line passes through ( ) and is perpendicular to the graph of the )? line that passes through the points ( ) and ( A. C. B. D. 25. Line k is represented by the equation, . Which equation would you use to determine the distance between the line k and point ( )? A. C. B. D. Sent on 9/27/13 Geometry Semester 1 Instructional Materials 2013-2014 26. In a coordinate proof, which of the following would be most useful to prove that triangles are congruent by the Side-Side-Side Triangle Congruence Theorem? A. Distance formula B. Midpoint formula C. Corresponding parts of congruent triangles are congruent (CPCTC) D. Slope formula 27. ( ) is the midpoint of ̅̅̅̅. The coordinates of S are ( of R? A. ( ) B. ( ) C. ( ) D. ( ), what are the coordinates ) 28. Use slope or the distance formula to determine the most precise name for the figure: ( ) ( ) ( ) ( ). A. Kite B. Rhombus C. Trapezoid D. Square 29. Which conclusion can be drawn from the given facts in the diagram? A. ̅̅̅̅ bisects B. C. ̅̅̅̅ D. Sent on 9/27/13 ̅̅̅̅ Geometry Semester 1 Instructional Materials 2013-2014 30. Which of the following is true? A. All triangles are congruent. B. All congruent figures have three sides. C. If two figures are congruent, there must be some sequence of rigid motions that maps one to the other. D. If two triangles are congruent, then they must be right angles. 31. If , which of the following is true? A. B. C. D. and ̅̅̅̅ 32. In the figure ̅̅̅̅. What information is needed to prove that by SAS? A. ̅̅̅̅ ̅̅̅̅ B. ̅̅̅̅ ̅̅̅̅ G L C. D. A D E O 33. In the figure congruence is true? and A. by ASA B. by SSS C. by SAS D. by SAS Sent on 9/27/13 . Which of the following statements is about Geometry Semester 1 Instructional Materials 2013-2014 34. Refer To the figure to complete the congruence statement, . A. B. C. D. 35. Which theorem can be used to conclude that ? A. SAA E B B. SAS C C. SSS D D. AAA A 36. In the figure, identify which congruence statement is true. Then find A. by HL B. by HL C. by HL D. by HL . 37. Determine which postulate or theorem can be used to prove the pair of triangles congruent. A. AAS B. SAS C. ASA D. SSS Sent on 9/27/13 Geometry Semester 1 Instructional Materials For #38-39 use the following: Given: is the midpoint of ̅̅̅̅̅ ; Prove: 2013-2014 Q M N P Statements is the midpoint of ̅̅̅̅̅ ; Reasons Given Definition of Midpoint 38. Given ̅̅̅̅ ̅̅̅̅ Reflexive property of congruence 39. 38. Choose one of the following to complete the proof. A. ̅̅̅̅̅ ̅̅̅̅ B. ̅̅̅̅̅ ̅̅̅̅ C. ̅̅̅̅̅ ̅̅̅̅ D. ̅̅̅̅ ̅̅̅̅ 39. Choose one of the following to complete the proof. A. Reflexive property of equality B. SSA Congruence C. SAS Congruence D. AAS Congruence 40. Given her proof? , Anna is proving . Which statement should be part of A. N B. 2 C. D. 1 M Sent on 9/27/13 3 4 P Geometry Semester 1 Instructional Materials 41. In the figure, . What is the value of y? A. B. C. D. 42. Reflecting over which line will map the rhombus onto itself? A. B. C. D. 43. What is the measure of in Parallelogram ( A. B. C. D. Sent on 9/27/13 ) , given the following: 2013-2014 Geometry Semester 1 Instructional Materials 2013-2014 44. What is the value of x in the rectangle? A. B. C. D. 45. Which of the following is NOT always true of Parallelogram A. ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ B. ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ̅̅̅̅ ? C. D. ) ( ) and ( 46. Given points ( point A in order for the quadrilateral A. ( ) B. ( ) C. ( ) D. ( ) 47. is a rhombus. If A. B. C. D. Sent on 9/27/13 ). Which of the following points must be to be a parallelogram? , what is the value of ? Geometry Semester 1 Instructional Materials 2013-2014 48. Based on the figure below, which statements are true? I. The figure is a rectangle II. The figure is a parallelogram III. IV. V. VI. The longest side has a length of 60. A. I, III, and V C. II, IV, and VI B. I, IV, and VI D. II, III, and V 49. A wooden frame has screws at A, B, C, and D so that the sides of it can be pressed to change the angles occurring at each vertex. ̅̅̅̅ ̅̅̅̅ and ̅̅̅̅ ̅̅̅̅, even when the angles change. Why is the frame always a parallelogram? A. The angles always stay the same, so B. All sides are congruent, so is a parallelogram. is a parallelogram. C. One pair of opposite sides is congruent and parallel, so D. One pair of opposite sides is congruent, so 50. Which statement is true? A. All quadrilaterals are rectangles. B. All rectangles are parallelograms. C. All parallelograms are rectangles. D. All quadrilaterals are squares. Sent on 9/27/13 is a parallelogram. is a parallelogram. Geometry Semester 1 Instructional Materials 2013-2014 1. B 11. B 21. D 31. A 41. B 2. D 12. A 22. B 32. B 42. A 3. D 13. D 23. A 33. A 43. B 4. B 14. C 24. B 34. B 44. B 5. C 15. C 25. D 35. B 45. A 6. B 16. D 26. A 36. D 46. C 7. A 17. C 27. D 37. A 47. A 8. D 18. D 28. B 38. B 48. C 9. A 19. C 29. C 39. C 49. C 10. B 20. B 30. C 40. D 50. B Sent on 9/27/13