ACTM Regional Geometry Exam 2009
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1 TM Regional Geometry xam 009 In each of the following questions choose the best answer and bubble the corresponding letter on the answer sheet. Note: The geometric figures on this exam are not necessarily drawn to scale. When you have completed the first 5 questions please work on the tie-breaker questions. These will be used to break ties for determining first, second and third place, should a tie occur.. In the figure a pair of adjacent angles is.,., roblem.,.,. None of these. and are complementary angles and m is 0 o more than the m. What is the measure of the angle supplementary to?. 5 o. 55 o. 55 o. 45 o. None of these 3. onsider the following two statements: If Jana wins the contest, then Jana will get two tickets to the concert. Jana doesn t win the contest. What valid conclusion can be made from these two statements?. Jana cannot go to the concert.. Jana wins the contest.. Jana doesn t go to the concert.. Jana wins the contest and goes to the concert.. None of these. 4. In the accompanying figure bisects and bisects. The measure of is. 00 o. 95 o. 80 o. 0 o. None of these roblem 4
2 5. In the figure an exterior angle of is... G.. None of these 6. In the figure, which statement(s) best describes? G roblem 5 : m = m + m Q. is the complement of R. m > m., Q., R. Q, R., Q, R. None of these roblem 6 7. is a right triangle with right angle at. If = 0 and = 4, then the length of the median from is Not enough information. None of these 8. In the figure m n and s t. If the m = (x + 55) o and m = (5x 35) o, then m is. 30 o. 5 o o. 65 o. None of these m n s (x + 55) roblem 8 t (5x - 35) 9. line that is parallel to the line y = 3 x + and passes through (6,8) is. 3x y =. x 3y = -. x 3y =. 3x + y = 34. None of these 0. The vertices of in the rectangular coordinate plane are = (, -), = (,3), and = (3,5). The area of is None of these roblem 0
3 . prism and a pyramid have the same base, but the altitude of the pyramid is twice the altitude of the prism. The volume of the pyramid is. equal to the volume of the prism.. is one-third the volume of the prism.. is one-half the volume of the prism.. is two-thirds the volume of the prism.. twice the volume of the prism.. If one pint of paint is needed to paint a statue that is 4 feet tall, then the number of pints needed to paint (to the same thickness) 400 statues similar to the original, but only foot tall is. 00 pints. 50 pints. 5 pints. ½ pints. None of these 3. onsider and with and. The area of is Not enough information. None of these roblem 3 4. transformation that preserves lengths is an isometry. Which of the following transformations is/are not an isometry? : Translation Q: Glide reflection R: ilatation :. Q. R. Q, R., Q, R 5. In the figure, and. Which of the following statements is/are true? : bisects Q: is a median of R:., Q., R. Q, R., Q, R. None of these roblem 5
4 6. The diagonals of the parallelogram QRS are perpendicular. Which of the following statements is the most accurate?. QRS is a kite. QRS is a rectangle. QRS is a rhombus. QRS is a square. None of these 7. Which of the following, if given for the figure at the right, would allow the conclusion that? : Q: R: is the midpoint of and.., R. Q, R., Q, R. Q. None of these roblem 7 8. In the figure, 3 4. Which of the following statements is/are true? : Q: R: 3 4 roblem 8., Q. Q, R., R., Q, R. None of these 9. The triangle with sides 0, 5, 8 is classified as a(n) (?) _ triangle. acute. right. obtuse. oblique. None of these 0. In the figure,, M, M is the midpoint of and = M. If =, then M =.. 3. None of these M roblem
5 . In the figure, what is the value of to 3 decimal places? roblem None of these 0. In the figure,,, = 40 and = 30. To the nearest tenth, = Not enough information. None of these roblem 3. Which of the following represent the rotation of QR 80 o around the origin? Q R roblem 3 Q R. None of these Q 4. In the figure,, and are tangent to the circle at, and, respectively. Which of the following statements is/are true? : + is one-half the perimeter of. Q: + = + R: + = + R R Q R Q roblem 4. Q, R., R., Q., Q, R. None of these 5. The central angle O measures 4 o. If the radius of the circle is 6, then the length of the arc intercepted by the angle is o. None of these 5 O 4 6 roblem 5
6 Tie reaker Questions Name School The following three questions will be graded in order to break any ties for first, second, and/or third that results in the first 5 questions. lease offer a complete solution for the questions in the order they appear. Tie reaker # Let XZ and YW be chords of the circle intersecting at M. rove: XM MZ YM MW X M W Y Z Tie reaker # Tie reaker # man walks one mile east, then he walks one mile northeast and then he walks one mile east. How far is he from his initial position? See the picture. [Hint: raw and. inish Start 35 Tie reaker #
7 Name School Tie reaker #3 rom a rectangular sheet of paper, Thomas makes an open rectangular box by cutting squares from the four corners and then folding up the sides. If the base of the box is 4 inches by 6 inches and its volume is 56 cubic inches, what is the area of the original sheet of paper? 4" 6" Tie reaker #3
8 Key 009 Regional Geometry xam
9 Tie reaker Questions Name School The following three questions will be graded in order to break any ties for first, second, and/or third that results in the first 5 questions. lease offer a complete solution for the questions in the order they appear. Tie reaker # Let XZ and YW be chords of the circle intersecting at M. X M W rove: XM MZ YM MW Y raw segments XY and WZ. XMY WMZ by vertical angle theorem. XYM WZM since both subtend the arc XW. Therefore, XYM WZM. XM YM So,. Hence, XM WM ZM MZ YM MW. Tie reaker # Z Tie reaker # man walks one mile east, then he walks one mile northeast and then he walks one mile east. How far is he from his initial position? See the picture. [Hint: raw = and. = 45 o and = = mile. Therefore = =. Therefore, = + = Start and using ythagorean Theorem ( ) () = 5 35 Tie reaker # inish
10 Name School Tie reaker #3 rom a rectangular sheet of paper, Thomas makes an open rectangular box by cutting squares from the four corners and then folding up the sides. If the base of the box is 4 inches by 6 inches and its volume is 56 cubic inches, what is the area of the original sheet of paper? Volume = 4 (6)x = 4 x 4x = 56 7 x =. 3 x x 6" 4" 7 7 Thus, 4 + ( ) = 8 and 6 + ( ) = the dimensions of the sheet of paper. are Tie reaker #3 Therefore, rea = 8 3 (0 3 ) =
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GEOMETRY & MEASUREMENT
GEOMETRY & MESUREMENT 1 1. The measure for a stud for a wall must be 72. Which of the following studs is allowed? 4 a. 72.7 in b. 72.31 in c. 71.81 in d. 71.2 in 2. t a bolt manufacturing company, 6 bolts
Geometry: A Complete Course
eometry: omplete ourse with rigonometry) odule - tudent Worket Written by: homas. lark Larry. ollins 4/2010 or ercises 20 22, use the diagram below. 20. ssume is a rectangle. a) f is 6, find. b) f is,
Directions: Answers must be left in one of the following forms:
Directions: Answers must be left in one of the following forms: 1. Integer (example: 7) 2. Reduced fraction (example: 3/4) 3. Mixed number, fraction part simplified (example: 2 1/3) 4. Money: rounded to
Alg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.
![Alg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.](/thumbs/88/117810047.jpg "Alg. Exercise (1) Department : Math Form : 1 st prep. Sheet. [1] Complete : 1) Rational number is 2) The set of integer is.. 3) If. is rational if x.")
airo Governorate Nozha irectorate of Education Nozha Language Schools Ismailia Road epartment : Math Form : 1 st prep. Sheet [1] omplete : lg. Exercise (1) 1) Rational number is ) The set of integer is..
Math is Cool Masters
8th Grade November 19, 2005 Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise.
PRACTICE TEST 1 Math Level IC
SOLID VOLUME OTHER REFERENCE DATA Right circular cone L = cl V = volume L = lateral area r = radius c = circumference of base h = height l = slant height Sphere S = 4 r 2 V = volume r = radius S = surface
Geometry Final Exam Review
Name: Date: Period: Geometry Final Exam Review 1. Fill in the flow chart below with the properties that belong to each polygon. 2. Find the measure of each numbered angle: 3. Find the value of x 4. Calculate
#2212 Geometry S2 #7772 Foundations in Geometry S2
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: High School #2212 Geometry
Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7
Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators. Mark
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Triangles 1.In ABC right angled at C, AD is median. Then AB 2 = AC 2 - AD 2 AD 2 - AC 2 3AC 2-4AD 2 (D) 4AD 2-3AC 2 2.Which of the following statement is true? Any two right triangles are similar
Math is Cool Championships
Individual Contest Express all answers as reduced fractions unless stated otherwise. Leave answers in terms of π where applicable. Do not round any answers unless stated otherwise. Record all answers on
Pre-Algebra Semester 2 Practice Exam DRAFT
. There are 0 yellow and purple marbles in a bag. If one marble is randomly picked from the bag, what are the odds in favor of it being yellow? A. : B. : C. :3 D. 3: 3. The data below shows the number
Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q.
Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. For each statement or question, choose the word or expression that, of those given, best completes the statement
Chapter 7: Practice/review problems The collection of problems listed below contains questions taken from previous MA123 exams.
Word problems Chapter 7: Practice/review problems The collection of problems listed below contains questions taken from previous MA3 exams. Max-min problems []. A field has the shape of a rectangle with
Higher Geometry Problems
Higher Geometry Problems (1 Look up Eucidean Geometry on Wikipedia, and write down the English translation given of each of the first four postulates of Euclid. Rewrite each postulate as a clear statement