Document Sample

Math 9 9SS3 – Similarity Name: /35 9SS3 – Demonstrate an understanding of similarity of polygons Part I: Review 1. If the perimeter of a rectangle is 64 cm, then the dimensions that would give the greatest possible area are a. 1 cm by 31 cm b. 1 cm by 63 cm c. 16 cm by 16 cm d. 32 cm by 32 cm 2. If the angles of a triangle have a ratio of 1:2:6, then the measure of the largest angle is a. 20o b. 40o c. 120o d. 140o 3. If the perimeter of a rectangle is 32 cm, then the dimensions that would give the greatest possible area are A. 1 cm by 15 cm B. 1 cm by 31 cm C. 8 cm by 8 cm D. 16 cm by 16 cm Part II: 4. The following triangles in each pair are similar. Find the unknown side lengths. Show your work for full marks. (2 marks each) a. c. b. d. 5. Find in each of the following. Show all of your work for full marks. (1 mark each) a. b. 6. The 5 m flagpole casts a 4 m shadow at the same time of day as a building casts a 30 m shadow. How tall is the building? (1 mark) 7. Surveyors have laid out triangles to find the length of the lake. Calculate this length. Show all of your work for full marks. (1 mark) 8. Surveyors have laid out these triangles to calculate the width of a canyon. Find this width to the nearest metre. Show all of your work for full marks. (1 mark) 9. If Δ and Δ are similar triangles, then what is the length, to the nearest tenth of a metre, of segment ? Show your work for full marks and record your answer in the numerical response section below. (1 mark) 10. Complete the following ratios for each pair of similar triangles below. An example has been given. (10 marks) a. b. 11. The triangles in each of the following pairs are similar. Find all of the unknown side lengths for each. Round your answer to the nearest tenth and show your work for full marks. (2 marks each) a. _______________ _______________ b. _______________ _______________ 12. Explain why Δ is similar to Δ . (2 marks) 13. Find in the following. Show all of your work for full marks. (1 mark) 14. Find and in the following. (2 marks) 15. Jim wants to measure the width of a small river that is near his house. He draws this diagram based on measurements that he knows, where A, B, and C represent points in a nearby park. What is the width of the river. Round your answer to the nearest metre and show your work for full marks. (1 mark)

DOCUMENT INFO

Shared By:

Categories:

Tags:

Stats:

views: | 0 |

posted: | 2/21/2012 |

language: | |

pages: | 5 |

OTHER DOCS BY xiagong0815

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.