NAME DATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following.

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1 NAME ATE PER. GEOMETRY FALL SEMESTER REVIEW FIRST SIX WEEKS PART 1. A REVIEW OF ALGEBRA Find the correct answer for each of the following. 1. m = Solve for m : m 7 = m FIRST SIX-WEEKS REVIEW 2. x = Solve for x : 12(x 7) + 3(2x + 2) = 50x c = Solve fore c : 5 3 (15c + 10) = 12c 9 4. Graph: Solve the following inequality, then graph the solution: p p 5. (, ) Solve the system: x 6 = 3y 2(3y 6) = 5x 2 6. x = Solve for x : 10 x 2x 6 7. h = The area of a triangle can be represented by the equation h(2h 7) = 4, where h is the height of the triangle. Find the height of the triangle.

2 FIRST SIX-WEEKS REVIEW PG a) b) c) d) A golf ball is hit into the air. The path of the ball can be described by the equation h = 55t 5t 2, where h is the height of the ball in meters and t is time in seconds. a) How high is the ball after 2 seconds. b) After how many seconds will the ball be 160 meters high? c) After how many seconds will the ball be 13 meters high? d) When will the ball hit the ground? PART 2. GEOMETRY BASICS Match each of the following terms with its correct description. 9. Point 10. Line 11. Plane A. a point that divides a line segment exactly in half B. an exact location in space C. has one endpoint and continues infinitely in one direction 12. Coplanar Points. points that lie in the same line 13. Line Segment 14. Ray 15. Midpoint E. a set of points in a row that continues infinitely in two directions F. a set of points containing two endpoints and all of the points between them G. a flat surface that continues infinitely in all directions 16. Coordinate H. Points that lie on the same plane 17. Collinear Points I. a number that identifies a point s location Using the figure below, name each of the following. 18. The intersection of M and L 19. A ray opposite B 20. A plane containing CE M 21. The intersection of L and CE C A L B E

3 FIRST SIX-WEEKS REVIEW PG. 3 Refer to the number line below to find the measures for problems V W T Y R U Z X S d = Find the distance between X and T. 23. d = What is the distance between Z and W? 24. What point(s) is/are two units from point U? Find the indicated value. 25. x = If A is between X and Y, and XA = 3x, AY = 2x + 5, and XY = 60, find the value of x. (raw a picture it helps!) 26. d = Find the distance between the points E(-3, -4) and F(5, 4). Simplify the radical if necessary. 27. d = Find the distance between the points A(-3, 5) and B(0, 1). Simplify the radical if necessary. Refer to the number line to find the coordinate of the midpoint of each segment. A E B C m = AC 29. m = B

4 FIRST SIX-WEEKS REVIEW PG. 4 Find the midpoint of the segment with the given endpoints. 30. m = (-7, 7) and (-9, 8) 31. m = (-3, 6) and (2, -8) Find the indicated length. 32. FG = F is the midpoint of EG. If EF = 2x + 3 and EG = 6x 3, find FG. PART 3. ANGLE BASICS Using the figure below, find the indicated measures. 33. m CE = m FEC = 32, find m CE. A E 34. x = m CEA = (6x 20), m AE = (3x + 18), and m CE = 151. Find the value of x. C F Use the figure below to answer the following questions. 35. Name a pair of adjacent, complementary angles. N P Q 36. Which angle is vertical to STR? M T 37. The measure of PTR is twice the measure of NTP. Find the measure of both angles. S R

5 FIRST SIX-WEEKS REVIEW PG. 5 In the figure below, BA and BC are opposite rays, and BE bisects AB. 38. m ABE = If m ABE = (6x + 2) and m BE = (8x 14), then find m ABE. A E 39. m BC = If m AB = (2y) and m BC = (6y 12), then find m BC. B C 40. m EB = If m ABE = (12n 8) and m AB = (22n 11), then find m EB. Match each description with its corresponding term. Write its corresponding letter in the blank provided. 41. An angle with a measure between 0 and 90. A. angle 42. Angles that have equal measures. 43. An angle with a measure of A ray that divides an angle into two congruent angles. 45. An angle with a measure of An angle with a measure between 90 and A figure formed by two rays that have the same endpoint. 48. Angles that have a common vertex and side, but share no interior points. 49. A pair of angles with a sum of Two non-adjacent angles formed by two intersecting lines. B. right angle C. vertex. congruent angles E. straight angle F. angle bisector G. adjacent angles H. segment bisector I. acute angle J. midpoint K. obtuse angle L. complementary angles M. supplementary angles N. vertical angles O. collinear

6 Find the indicated measures. FIRST SIX-WEEKS REVIEW PG An angle s measure is 43 less than 6 times the measure of its complement. Find the measure of both angles. 52. Find the measures of two complementary angles, A & B, if m A = (7x + 4) and m B = (4x + 9). 53. The measure of an angle is 44 more than the measure of its supplement. Find the measures of the angles. 54. Suppose T and U are complementary. Find m T and m U, if m T = (16x 9) and m U = (4x + 9). 55. Find the measures of two supplementary angles, N and M, if the measure of N is five less than four times the measure of M.

7 ( Below is a scramble of the answers to the non-matching problems in this review sheet.) never (-8, 7.5) ; 27 5 (-8, ) 71 ; 19 0 AB MTN & NTP 60 / ; 143 S & T PTN 112 ; 68 2 M & (-.5, -1) A x = -1.24; ; 37 p 4

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