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UNIT 4

UNIT 4. Review. #1. What two geometry tools are used to make constructions?. #1 Answer. Straight edge and compass. #2. Name three types of transformations. #2 Answer. Reflection Rotation Translation. #3.

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UNIT 4

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  1. UNIT 4 Review

  2. #1 What two geometry tools are used to make constructions?

  3. #1 Answer Straight edge and compass

  4. #2 Name three types of transformations.

  5. #2 Answer Reflection Rotation Translation

  6. #3 If point A (5,6) is reflected across the x-axis, then translated 3 units left, what is the new ordered pair?

  7. # 3 Answer (2, -6) After the reflection across the x-axis: (5, -6) After translating it 3 units left: (2, -6)

  8. #4 Point A is located at (-3,4). What would the new coordinates be if you rotated it 90° counterclockwise?

  9. #4 Answer (-4, -3)

  10. #5 The figure shows the beginning of a compass and straightedge construction. Which construction is it?

  11. #5 Answer Bisect a line segment (perpendicular bisector)

  12. #6 If you are using a compass and straightedge to bisect angle XYZ, where should you place the point of the compass to continue the construction? X W Y Z

  13. #6 Answer at W

  14. #7

  15. #7 answer J: Use the straightedge to draw a line through points C and D

  16. #8

  17. #8 Answer A

  18. #9 What are 3 ways to name this angle? J H S

  19. #9 Answer angle JHS angle SHJ angle H

  20. #10 Jamie wants to construct a line perpendicular to AB through point C. What is the first step that Jamie should do? • Create an arc through point C from points A and B. • Draw a line segment connecting points B and C • Create an arc from point C through AB • Draw a line segment through point C

  21. #10 Answer C. Create an arc from point C through AB

  22. #11 Which transformation of the figure shown could result in a symmetrical figure created by the pre-image and image with the x-axis as the line of symmetry?

  23. #11 Answer reflection

  24. What kind of transformation is shown? #12

  25. #12 Answer rotation

  26. What kind of transformation is shown? #13

  27. #13 Answer translation

  28. #14 Lines, line segments or rays that intersect to form right angles

  29. #14 Answer Perpendicular lines

  30. #15 Point at the end of a line segment or ray.

  31. #15 Answer endpoint

  32. #16 A point, segment, ray or line that divides a segment or angle into two congruent parts.

  33. #16 Answer bisector

  34. #17 Write the name of the construction that is shown.

  35. #17 Answer Perpendicular bisector or Bisect a segment

  36. #18 Write the name of the construction that is shown.

  37. #18 Answer Perpendicular lines

  38. #19 Matching angles of two or more polygons.

  39. #19 Answer corresponding angles

  40. #20 Which congruent triangles justify this construction of parallel lines? D C E F G H I J

  41. #20 Answer triangle DEF is congruent to triangle GHI

  42. #21 Courtney wants to place a sign on State Rd. She chooses to bisect State Rd, which is 16 miles long, and place the sign there. How many miles down State Rd. will the sign be posted?

  43. #21 Answer 8 miles (To bisect = to cut in half)

  44. #22 The second hand on a clock moves from 30 seconds to 50 seconds. What type of transformation has occurred?

  45. #22 Answer Rotation

  46. #23 What are the steps for constructing perpendicular lines?

  47. #23 Answer 1. Place the compass at point J. Using the same compass setting, draw arcs to the left and right of A, intersecting line m. Label these points P and H. 2. Place the compass to a setting greater than segment PJ. Put the compass at point P and draw an arc above line m. 3. Using the same compass setting, put the compass at point H and draw an arc to intersect the one previously drawn. Label the point of intersection S. 4. Use a straightedge to draw line SJ

  48. #24 Lines in a plane that do not intersect.

  49. #24 Answer parallel lines

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