Geometry Winter Packet

Transcription

1 Geometry Winter Packet Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Which point of concurrency is equidistant from 6. Arrange the letters in order from greatest value the three vertices of a triangle? to least value. a. Circumcenter b. Orthocenter c. Incenter d. Centroid e. Polycenter 2. What is the intersection of the three angle bisectors of a triangle? a. Centroid b. Incenter c. Orthocenter d. Circumcenter e. Bisectroid 3. GIJH is a parallelogram. What is the measure of GHI? a. a, b, c b. b, a, c c. c, b, a d. b, c, a e. c, a, b f. None of the above. 7. Arrange the letters in order from greatest value to least value. a. 56 b. 103 c. 21 d. 42 e ABCD is a parallelogram. What is the measure of BDA? a. a, b, c b. b, a, c c. c, b, a d. b, c, a e. c, a, b f. None of the above. 8. and. From this information, which of the following reasons could be used to prove that ABD CDB? a. 52º b. 96º c. 32º d. 84º e. 26º 5. Is it possible to construct a triangle from the side lengths 7 ft, 12 ft, and 20 ft? a. No b. Yes a. SSS b. SAS c. ASA d. SAA e. None of these

2 9. bisects and From this information, which of the following reasons could be used to prove that ABE DCE? a. SSS b. SAS c. ASA d. SAA e. None of these If possible, use the given information to complete the congruence statement and tell which congruence conjecture supports the congruence statement. If no triangles can be shown to be congruent from the information given, indicate Cannot be determined. 10., a. YMT by ASA b. YMT by SAS c. MYT by SAS d. MYT by ASA 12. a. TAC by ASA b. TAC by SAS c. ATC by SAS d. ATC by ASA 13. a. AEB by ASA b. AEB by SAS c. BEC by ASA d. BEC by SAS 11. a. CLT by ASA b. CLT by SSA c. LCT by ASA d. LCT by SSA Numeric Response 1. If DE = 9 cm, what is the perimeter of regular polygon ABCDE? cm 2. If the perimeter of regular polygon ABCDE is 45 cm, what is DE? cm

3 3.This box is wrapped with two strips of ribbon as shown. What length of ribbon was needed to decorate the box? cm 9. If one of the base angles of an isosceles triangle has measure 50, then the vertex angle has measure. Find each angle measure. 10. Use your conjectures to calculate the measure of each lettered angle. a = b = c = d = e = a = 5. b = 6. c = 7. d = 8. S is the centroid. All measures are in centimeters. SP = 6 SM = SR + 6 HS = a = b = c = d = e = Find the missing measurements. 12. a =

4 13. a = Completion Complete each statement. Name the most general polygon that fits each set of conditions. 1. A polygon with five congruent sides and all angles congruent 2. A(n) triangle has angle measures that are all less than A(n) triangle has an angle with measure greater than 90. Find the missing term in each sequence. 4. A, 1, B, B, 2, C, C, C, 3,, D, 5. Z, 0, X, 1, U, 2, Q,, L, 4, F, Find the value of the nth term in each sequence. 6. Term n Value Term n Value Identify each figure. Be specific. 8. Line RT is a(n) 11. Point P is a(n) 9. Segment AD is a(n) 10. Segment LK is a(n)

5 Find the missing measurements. Include units. 12. d = 13. f = 14. e = Matching Match each term to its specific example in the diagram. a. COD g. CGD b. h. c. i. ADB d. j. e. k. BD f. l. 1. Inscribed angle 2. Central angle 3. Radius 4. Diameter 5. Tangent 6. Chord 7. Semicircle 8. Minor arc 9. Major arc

6 Match the appropriate term to each statement. a. Decagon i. Collinear b. Isosceles j. Coplanar c. Scalene k. Trapezoid d. Obtuse l. Rectangle e. Acute m. Parallelogram f. Octagon n. g. Hexagon o. h. Dodecagon p. AB 10. A quadrilateral with exactly one pair of parallel sides 11. Three or more points on a line 12. A triangle with all sides of unequal measure 13. A triangle with at least two sides of equal measure Match the appropriate term to each statement. 14. A ray starting at point B and passing through point A 15. An equiangular parallelogram 16. An angle whose measure is greater than A polygon with ten sides a. Decagon i. Collinear b. Isosceles j. Rhombus c. Scalene k. Trapezoid d. Obtuse l. Rectangle e. Acute m. Parallelogram f. Octagon n. g. Hexagon o. h. Dodecagon p. AB 18. An equiangular parallelogram 19. A line segment with endpoints A and B 20. An angle whose measure is greater than An equilateral parallelogram 22. A triangle with at least two sides of equal measure 23. Three or more points on a line 24. A triangle with all sides of unequal measure 25. A polygon with six sides

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