Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
History of geometry wikipedia , lookup
Euler angles wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Pythagorean theorem wikipedia , lookup
MPM1D Grade 9 Measurement and Geometry Test 1 COM: /10 K/U: /9 APP: /18 Thinking: /9 COM LEVEL: Show your work for full mark. Your communication mark will be determined by how well you answer all of the questions: including proper mathematical form, notation and narration (where appropriate) Communication Part A: Multiple Choice (1 mark each) 1. Which of the following is the mathematical term given to the perimeter of a circle? a) hemisphere b) sphere c) radius d) circumference 2. Which of the following is used to find the missing side of a right triangle? a) c = a + b b) c2 = a + b c) c2 = a2 + b2 d) P = a + b + c 3. To find how nuch sod you need to buy to cover your backyard, you need to calculate: a) rectangle b) perimeter c) area d) volume 4. To find the amount of fence you need to enclose a yard, you need to calculate: a) rectangle b) perimeter c) area d) volume 5. In a polygon with n sides, the formula for the sum of the interior angles is a) 180o(s – 2) b) 180o (n – 2) c) 180o (p – 2) d) 180o n 6. All regular polygons have a) equal side lenths b) equal interior angles c) both a) and b) d) none of the above 7. The line joining the midpoints of two sides of a triangle is a) parallel to the third side b) ½ the length of the third side c) equal in length to the third side d) both a) and b) 8. An obtuse angle is a) less than 90o b) more than 90o c) exactly 90o d) none of these 9. The sum of the interior angles of a pentagon is a) 720o b) 540o c) 360o d) 180o 10. The dimensions of the rectangle that will maximize the area with a fixed perimeter will be a) the same b) different c) none of the above d) both a) and b) Knowledge and Understanding 1. Solve for the unknown angle (1 mark each) a) a = _____ b) b = ____ c) c = ______ d) d = _______ e) e = ______ f) i = ____ 2. Calculate the missing side length (accurate to 1 decimal place) [3 marks] Application 3. Calculate the area for each figure. a) b) 4. Calculate the perimeter for the figures below (accurate to 1 decimal place). a) (3 marks) b) (4 marks) 5. If each interior angle of a regular polygon measures 168o, how many sides does the polygon have? (2 marks) 6. Give 3 properties of the midpoints and medians in triangles. (3 marks) 7. A contractor is adding a rectangular kindergarten playground to the sides of a school. The second school will form one side of the rectangle. The area of the playground is to be 72 m2. a) Draw a diagram of the playground. (1 mark) b) Complete the table and investigate possible rectangles with an area of 72 m2. (4 marks) Rectangle Width Length Area Length of Fence Used c) What dimensions use the minimum length of fence to enclose the playground? (2 marks) d) What is the minimum length of fence needed to enclose the playground? (2 marks)