NAME: _________________________ Geometry Unit 1 Review Worksheet DATE: _____________________ Please put all answers into your geometry notebook in order to receive full credit. Do not place answers on this worksheet. 1. Write a good definition for each of the terms or symbols shown below. a. b. f. Collinear j. Rectangle n. Chord e. Acute i. Trapezoid m. Secant q. Complementary c. d. Obtuse g. Coplanar k. Parallelogram o. Inductive h. Rhombus l. Kite p. Deductive PERIOD: _______________ 5. Write the symbol notation for the geometric figure. Then name the figure. C D 6. Draw line segment CD. r. Supplementary 7. Determine the midpoint of the line segment whose endpoints are 4, – 4 and – 14, 14 . b 2. Name the line. g b g A B 3. Find m LJK and m IJK if m LJK 2 x 5 , m IJK 13x 2 , and m LJI 63 . b b g K g L b g 8. M – 1, – 2 is the midpoint of RS. If S has the coordinates 6, 1 , find the coordinates of R. b g 9. Which is a counterexample to the following faulty definition? A triangle is a figure with sharp corners. [A] A square has four corners. [B] Star shapes also have sharp corners. I J [C] A triangle must have three sides. 4. Which set of three points is noncollinear? B [A] A, D, C 10. Write all of the corresponding parts for the two triangles given that CDE FGH. [B] B, E , D E F [C] A, E , B [D] B, C, F Kruzich ‘12 [D] Lines are not considered figures. A D C 11. If quadrilateral ABCD is congruent to quadrilateral UVWX, then BC is congruent to . 1 Geometry Unit 1 Review Worksheet 12. Which is a convex polygon? 15. Identify three central angles. Which is a concave polygon? D [A] O [B] A C B [C] Draw , mark, and label each figure for questions #16-19. 16. Circle Q with diameter AB and tangent AT [D] 17. An octagon OCTAGNUS with vertices S, C, A, and N joined to form trapezoid SCAN such that SC || NA 13. Name three radii of circle O below. 18. Circle R with an arc AB measuring 60 19. Rhombus RHOM with RO HM 20. Oscar wants to build a fence around his pool. The pool is 28 feet long by 25 feet wide. The fence is to be 9 feet from the edge of the pool. How much fencing will he need? 14. Identify two chords. E D H O G C Kruzich ‘12 F 2 Geometry Unit 1 Review Worksheet 21. Identify the kinds of angles in each diagram and state whether the angles are equal or supplementary. a) b) c) d) ____________ ____________ ____________ ____________ ____________ ____________ ____________ ____________ For #22 and #23, use the figure at the right. 22. a. Name all pairs of Corresponding Angles. 1 2 3 4 b. Name all pairs of Alternate Interior Angles. c. Name all pairs of Alternate Exterior Angles. 5 6 7 8 d. Name all pairs of Vertical Angles. e. Name all Linear Pairs of Angles. f. Name all pairs of Co-Interior Angles 23. If the m1 110 , then find... m2 ____ m3 ____ m4 ____ m5 ____ m6 ____ m7 ____ m8 ____ 24. For the figure shown below, solve for x and find the measure of the angle. 2x + 17 3x - 4 x = ___________ top =_________ bottom =_____ Kruzich ‘12 3 Geometry Unit 1 Review Worksheet 25. Finding the nth term: Write an explicit formula that will calculate any term’s value based on its position number (n) in the pattern. Then find the term indicated. n 1 2 3 4 5 6 … f(n) -2 4 10 16 22 28 … n … 100 … 26. Find the missing elements in the sequence below. 5, 8, 13, 20, 29, 40, ____, 68, 85, ____, 125, . . . 27. A line through the points (-5, 2) and (3, y) has a slope of 3 . Find y. 4 28. Find the slope of the line parallel to the line through the points (-9, 2) and (-3, 5). 29. Find the slope of the line perpendicular to the line through the points (-10, -2) and (3, 1). 30. Determine the midpoint of the line segment whose endpoints are (7, 0) and (-11, 18). 31. Solve for x: 2 x 4 6 x 12 32. The 12th grade class of 80 students is assembled in a large circle on the football field at half-time. Each student is connected by a string to each of the other class members. How many pieces of string are necessary to connect each student to all the others? [A] b80g 40 2 Kruzich ‘12 b g [B] 79 80 6320 [C] b g 80 81 3240 2 [D] b g 79 80 3160 2 4 Geometry Unit 1 Review Worksheet ANSWERS (partial): [17] [1] look up definitions [2] AB [3] LJK 13 IJK 50 [4] [B] [18] get answer in class [5] CD; ray [19] [6] C D b g [8] b– 8, – 5g [7] – 5, 5 [20] 178 ft [9] [B] [10] CD FG; DE GH; CE F H ; C F; D G; E H [11] VW [12] [D] is Convex; [B] is Concave [13] OU , OR, and OT [14] EF and CD [15] COD, COB, COA, BOA, AOD [16] Kruzich ‘12 5

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