#1 RFF Sem 2 Benchmark Geo.pdf

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Practice #1

Benchmark Practice Geometry 2nd Semester

Name: _______________________________________________________

1. Calculate the volume of the cone. Use   314 . .

6. Draw a picture of

5m

[A] a diameter

[B] a secant of the circle

[C] a tangent of the circle

[D] a chord

6m

2. Find the total surface area of the regular pyramid below. 7. Find the area of an equilateral triangle with side 10

5 8

8 8. Given: In

O, m BAC

= 316  . Find m  B.

C 3. Are the statements true or false? [A] All parallelograms are rectangles. _______

O

B

[B] Opposite sides of a parallelogram are congruent._______ [C] The height of a trapezoid is the distance between its bases. ______

A

[D] A rectangle is a parallelogram. _______ 4. An equilateral triangle has side lengths of 8. The length of its altitude is _____. (give an exact answer)

[A] 28 

[B] 11 

[C] 22

9. Find m  PSQ

 [D] 14 

if m  PSQ = m  PRQ = y  30 .

2y 5

Q

P 5. The shorter leg of a 30-60-90 triangle is 3.3 feet long. Find the perimeter. (Use radicals in your answer).

S

[A] 55 

R [B] 35 

[C] 65  [D] 32.5 

and

Practice #1

Benchmark Practice Geometry 2nd Semester

Name: _______________________________________________________ [A] 111 m

2

[B] 18 m

2

[C] 55 m

2

[D] 14 m

2

10. Find the value of x 15. Find the length of a 50° arc in a circle with a radius of 6. Express your answer in terms of  .

12 4 x

[A] 8.5

[B] 7.2



[C] 12.6





[D] 11.3



16. Given: m A B = 82°, m C D = 30°

11. Given: m S Q = 102°, m P R = 110°

Find m  DOC.

Find m  x.

12. Find the diameter of the circle. BC  18, and DC  22. Round your answer to the nearest tenth.

17. Find the area of the shaded region. Use   314 . .

A O

60 

B D

[A] 44.9

5 cm

C

[B] 7.3

[C] 8.9

[D] 11.6

13. Find the exact volume of a cylinder that has a height of 10 inches and a diameter of 8 inches

14. Find the surface area of the cylinder to the nearest square unit. Use   314 . . 2m

6.8 m

18. Find the area of the shaded region in the square shown below. Express your answer in terms of  .