University:
Jackson College
Course:
MAT-039 | Beginning Algebra
Academic year:

2023
Views:

53

Pages:

4
Author:

metalkadf9w

Grade 9 Mathematics Scale Factors and Similarity Lesson 1 Assignment Enlargements and Reductions 1. Complete the table for each enlargement. 2. Complete the table for each reduction. 3. Which of the following rectangular shapes would be either a reduction or expansion of another rectangle measuring 3 meters by 5 meters? State if it is a reduction, expansion, or neither. Explain your reasoning. a. A sheet of paper measuring 6 cm by 10 cm. b. A soccer field measuring 60 meters wide and 110 meters long. c. A billboard measuring 18 meters tall and 30 meters long. d. A photograph measuring 9 inches by 15 inches. e. A wall mural measuring 30 feet high by 52 feet long. 4. A hockey rink in the shape shown below is 96 meters long and 36 m wide. Draw a scale model of the hockey rink if the scale is 1 cm (model) to 6 meters (rink). One square on the grid equals one cm. Enlargements and Reductions Page 1 of 4 Lesson 1 5. A model high rise condo has a scale factor of 1:50. If a table in the model is 2 cm high, what is the actual height of the table? 6. Determine the scale factor for each of the following objects and images. a. b. c. d. 7. Draw the image of each object with the given scale factor. a. b. Enlargements and Reductions Page 2 of 4 Lesson 1 c. d. Answers 1a) 90 cm 1b) 4 1c) 21.875 cm 2a) 0.36 2b) 220 cm 2c) 1 cm 3a) Reduction, paper is smaller. Ratios are in proportion 3b) Neither. Ratios are in not in proportion 3c) Expansion, billboard is larger. Ratios are in proportion 3d) Reduction, photogragh is smaller. Ratios are in proportion 3e) Neither, Ratios are not in proportion. 4. 16 squares long and 6 squares wide 5. The actual table would be 100 cm high. 6a. 1:2 or 6b. 1:3 or 1 2 1 3 6c. 1.5:1 or 1.5 6d. 2.5:1 or 5 2 Enlargements and Reductions Page 3 of 4 Lesson 1 7a) 7b) 7c) 7d) Enlargements and Reductions Page 4 of 4 Lesson 1