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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Chapter 9 Study Guide – Course 2 Hints for test on Friday: 1. 2. 3. 4. 5. 6. 7. Know the vocabulary and how to identify the geometric terms from figures. (Like #1 on the quiz) All vocabulary words are on the next page of this guide. Be able to write equations for complementary angles by: adding the angles that are complementary together to = 90, then solve. Supplementary Angle Equations: Add angles together to = 180, then solve the equation. Vertical Angles are Congruent, so in equations: Make one angle = to the other angle, then solve the equation. Triangle Equations: Add all angles together to = 180, then solve. We solve scale drawing problems by writing proportions and solving them. 3-dimensional Figures: Prism rectangular faces + 2 parallel bases – name by shape of base. Cylinder: 2 parallel congruent circle bases (Like a can) Pyramid: 1 polygon base + triangular faces – name by shape of the base. Cone: Circular Base, 1 vertex Sphere: Like a ball Study!!! Course 2 • Chapter 7 Geometric Figures 151 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Vocabulary: SCORE ____________ acute angle edge scale acute triangle equilateral triangle scale drawing adjacent angles face scale factor base isosceles triangle scale model complementary angles obtuse angle scalene triangle cone obtuse triangle straight angles congruent plane supplementary angles congruent segments polyhedron triangle coplanar prism vertex cross section pyramid vertical angles cylinder right angle diagonal right triangle Choose from the terms above to complete each sentence. 1. The sum of the measures of________________ is 90º. 1.______________________ 2. A (n)________________ measures between 90º and 180º. 2. _____________________ 3. A (n) _________________is a figure with three sides and three angles. 3. _____________________ 4. The ___________________gives the ratio that compares the measurements of the drawing or model to the measurements of the real object. 4. _____________________ 5. A (n) ________________ is a three-dimensional figure with one base that is a polygon. 5. _____________________ 6. Sides with the same length are ________________ . 6. _____________________ 7. A scale written as a ratio without units in simplest form is called the _____________. 7. _____________________ 8. A (n) _____________________ is a flat surface that goes on forever in all directions. 8. _____________________ Course 2 • Chapter 7 Geometric Figures 151 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Write the letter for the correct answer in the blank at the right of each question. 9. What is the value of x in the figure? A. 37 B. 60 C. 160 D. 237 10. What is the classification of the pair of angles shown? F. complementary G. vertical H. supplementary I. no relationship 11. Which name applies to the angle pair at the right? A. supplementary B. straight C. complementary D. vertical 12. The angles shown are supplementary. What is the value of x ? F. 180 G. 95 H. 27 I. 17 13. Find the value of x in the figure shown. A. 20 B. 22 C. 45 D. 80 14. In the figure at the right, what is m∠1 if m∠3 = 70°? F. 180° G. 110° Course 2 • Chapter 7 Geometric Figures H. 90° I. 70° 151 NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 15. What is the classification of the triangle by its angles and by its sides? A. acute, equilateral C. obtuse, isosceles B. right, equilateral D. obtuse, equilateral 1 16. On a scale drawing, the scale is 2 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet? 17 1 F. 12 in. by 9 2 in. 5 1 G. 1 17in. by 1 3 in. 1 1 H. 5 2 in. by 4 4 in. 1 I. 11 in. by 8 2 in. 17. On a map, the scale is 1 inch = 125 miles. What is the actual distance between two cities if the map distance is 4 inches? A. 525 mi C. 500 mi B. 505 mi 1 D. 281 4 mi 18. Which solid has the top, the side, and the front views given? F. H. G. I. Use the figure shown on the right. 19. What is the classification of the figure? A. rectangular pyramid C. rectangular prism B. pentagonal prism D. pentagonal pyramid 20. What would be the cross section of a rectangular prism that is sliced horizontally? F. rectangle G. triangle H. circle I. trapezoid Course 2 • Chapter 7 Geometric Figures 151