Chapter 8 Quiz 1 1. 2. The perimeter of the rectangle is 126 m. 11 cm 7 cm 5 cm 38 m 3. 4. 11 m 1 5 cm 1 13 m 12 m 15 m 12 cm 12 cm 16 cm 25 m 20 cm 20 cm 5. The area of the obtuse triangle is 176 ft 2. 6. The area of the trapezoid is 273 in. 2. h c 15 in. h 18 ft 27 ft 13 in. 22 ft c 7. Describe in a complete paragraph how you found the formula for the area of a trapezoid. Discovering Geometry Assessment Resources A LESSONS 8.1, 8.2 53
Chapter 8 Quiz 2 1. Each side of the regular pentagon has length 2. The apothem of this regular octagon 11.9 cm, and the apothem is about 8.2 cm. is 14.5 ft. Area of shaded region 12 ft 3. The circumference is 22 m. 4. Area of shaded region 8 cm 8 cm 4 cm 12 cm 4 cm 5. Describe in a complete paragraph how you found the formula for the area of a regular polygon. 54 LESSONS 8.3 8.5 Discovering Geometry Assessment Resources A
Chapter 8 Quiz 3 1. Area of shaded region 2. Area of shaded region 1 cm 6 in. 240 3. Find the total surface area of the 4. Find the total surface area of the cone. trapezoidal prism. Measurements are in meters. 5 ft Surface area 17 20 12 15 8 ft 42 22 5. Using words and pictures, describe how to find the area of a segment of a circle. Discovering Geometry Assessment Resources A LESSONS 8.6, 8.7 55
Chapter 8 Test In Problems 1 11, find the missing measure. The figures are not drawn to scale. 1. h 16 cm 2. The circumference is 36 cm. h 26 cm 3. Area 756 cm 2 h 18 cm a 39 cm b 4. The area of the sector is 144 cm 2. m FAN F a h 36 cm b A 5. All measurements are in centimeters. 6. Area of shaded region Area of shaded region N 56 14 28 (continued) 56 CHAPTER 8 Discovering Geometry Assessment Resources A
Chapter 8 Test (continued) 7. Area of shaded region 8. 1 cm 4 cm 2 cm 6 cm 9. Area of shaded region 10. Surface area 15 cm 5 cm 16 cm 11. Surface area 8 cm 12. Al s Pizzeria sells cheese pizza by the slice, according to the figure. Which slice gives the best deal (the most pizza per dollar)? 13. Find the apothem of a regular octagon with area 690 square feet and side length 20 feet. 14. Mr. James wants to coat the ceiling, walls, and floor of a rectangular storeroom with a flame-retardant material that costs $39.95 per gallon. The dimensions of the room are 7 m by 9 m by 4.5 m. If one gallon covers 110 m 2,how much will Mr. James need to spend to protect the storeroom? Giant $2.25 Small $1.20 Regular $1.60 Al s pizza-by-the-slice prices Discovering Geometry Assessment Resources A CHAPTER 8 57
Chapter 8 Constructive Assessment Options Choose one or more of these items to replace part of the chapter test. Let students know that they will receive from 0 to 5 points for each item, depending on the correctness and completeness of their answer. 1. (Lessons 8.1 and 8.3) Sabrina wants to paint the walls and ceiling of the two bedrooms, the hall, and the living room of her apartment. A gallon of TJ Base Paint covers 325 ft 2 and costs $19.99. A gallon of ABOT Base Paint covers 400 ft 2 and costs $26.39. All the ceilings are 7 ft high. a. Which brand of paint is cheaper per square foot? b. How many gallons of each would Sabrina need to buy? Show all your work. c. Which is the cheaper brand to use for this job? d. Explain the apparent contradiction between the answers to parts a and c. 2. (Lesson 8.2) AN and CM are medians. a. If the area of ABC is 48 units 2, what are the areas of AMC and CNA? Explain. b. Explain why the area of AMP is equal to the area of CNP. c. The area of AMP is what fraction of the area of ABC? Explain. 3. (Lessons 8.5 8.7) A right cone is 16 cm high and has a base radius of 12 cm. A cut is made through the cone 4 cm from the vertex and parallel to the base. The discarded top is a right cone with base diameter 6 cm and slant height 5 cm. The part that remains is a frustum with slant height 15 cm. A hole with radius is drilled through the frustum, from the center of one base to the center of the other. The drilled frustum is then dipped in a vat of paint. a. Sketch the original cone, the undrilled frustum, the discarded cone, and the drilled frustum. Label all relevant measurements. 10 ft b. Calculate the exact area of the painted surface of the frustum. Explain the steps in your calculation procedure. 8 ft 10 ft 18 ft Bedroom 1 8 ft Bath Bedroom 2 A Hall Kitchen 12 ft 12 ft M Living room P 20 ft 12 ft C N B 58 CHAPTER 8 Discovering Geometry Assessment Resources A