Sm2 Unit 5 Test Form A 3md3u

Name ______________________________________________

Unit 5 Test Form A

Refer to circle A below to answer the following questions (1-2). BC is a tangent, and CG and CF are secants. The figure is not drawn to scale.

» ? 1. What is mGF a. 65

b. 70

c. 75

d. 80

2. What is mBC ? a. 16 b. 23.3 information given

c. 28.4

d. 256

e. not enough

3. What is the equation of the circle with a center of (2,-3) and a radius of 8? a. ( x  2) 2  ( y  3) 2  8

b. ( x  2) 2  ( y  3) 2  64

c. ( x  2) 2  ( y  3) 2  8

d. ( x  2) 2  ( y  3) 2  64

4. Complete the square to find the center and radius of the circle with the equation

x 2  4 x  y 2  6 y  4 . a.

Center : (2,3) Radius : 9

b.

Center : (2, 3) Radius : 3

c.

Center : (2, 3) Radius : 9

d.

Center : (2,3) Radius : 3

5. A movie theater sells two different containers for popcorn. The larger one is the shape of a cylinder and is sold for $6.00. The smaller one is a square pyramid. The dimentions of the containers are shown in the figures below. What would be a fair price to charge for the smaller popcorn?

a. $2.00

b. $2.55

c. $3.00

d. $3.85

Refer to circle A below to answer the following questions (6-7). BE and CF are diameters of the circle. mFAE  2 x  6 , mEAD  0.25 x  0.75 , mDAC  2 x  4 , and mCAB  x  37 . The figure is not drawn to scale.

6. What is the value of x? a. 21.5

b. 28

c. 31

b. 95

c. 100

d. 43

» ? 7. What is mBF a. 80

d. 105

8. What is the arc length of a sector that has a radius of 3 ft and a central angle of 135 ? a. 7.07 ft

b. 10.60 ft

c. 14.14 ft

d. 18.85 ft

Refer to circle A below to answer the following questions (9-11). EB and ED are »  45 . The figure is not drawn to scale. tangent to the circle, and mBD

9. What is mA ? a. 22.5

b. 45

c. 50

d. 90

10. What is mE ? a. 90

b. 135

c. 270

d. 315

11. What is mC ? a. 22.5

b. 45

c. 50

d. 90

12. What is the equation of the parabola that has a focus of (0,-4) and a directrix of y 2?

a. y 

1 2 x 1 12

b. y 

3 2 x 1 4

c. y  

1 2 x 1 12

d.

3 y   x2 1 4

13. Kaybree has an ice cream cone that is 4 inches high and has a diameter of 2 inches. If she packs the cone full of ice cream, what is the volume of ice cream in the cone?

a. 4.19in3

b. 8.26in3

c. 12.57in3

d. 16.76in3

14. Refer to the circle below. What is mC ?

a. 85

b. 95

c. 170

d. 190

15. Mark had a stack of 16 quarters. His little sister came along and scattered the quarters across the room.

According to Cavalieri’s principle, what is true about his stack of 16 quarters and the 16 scattered quarters? a. The surface area of the stack of quarters is the same as the sum of the surface areas of the scattered quarters.

b. The surface area of the stack of quarters is greater than the sum of the surface areas of the scattered quarters. c. The volume of the stack of quarters is less than the sum of the volumes of the scattered quarters. d. The volume of the stack of quarters is the same as the sum of the volumes of the scattered quarters.

16. What is the area of a sector that has a radius of 3 ft and a central angle of 135 ? a. 7.07 ft 2

b. 10.60 ft 2

c. 14.14 ft 2

d. 18.85 ft 2

17. AD is a diameter of the circle below. What is mC ?

a. 80

b. 85

c. 90

d. 95

Free Response: Record all answers in the space provided.





18. Prove or disprove that the point 2, 5 lies on the circle centered at the origin and containing the point (0,-3).

19. Circle A has a center at (2,3) and a radius of 6. Circle B has a center at (-1,0) and a radius of 4. Are the two circles similar? Why/Why not? (Use transformations in reasoning)

20. Choose one of the constructions below to do (for extra credit, do 2 constructions instead of 1):

a. Construct a tangent line from the point to the circle.

b. Construct the inscribed circle of the triangle below.

c. Construct the circumscribed circle of the triangle below.