Free Printable Geom Final Exam Part 1

1.

Set up the problem so that you can solve for X.

a)

sin X = 41/28

b)

tan X = 41/28

c)

cos X = 28/41

d)

sin X = 28/41

2.

What is the length of y in this picture?

a)

45

b)

5√2

c)

90

d)

5

3.

Which of the following formulas shows the Law of Cosines?

a)

c² = a² + b² - 4ac + cosA

b)

c² = a² - b² - 2abcosC

c)

c² = a² + b² - 2abcosC

d)

(cos A)/a = (cos B)/b

4.

Identify the Law of Sines

a)

$\sin^2x+\cos^2x=1$

b)

$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$

c)

$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$

d)

Soh Cah Toa

5.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

6.

A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides.

a)

trapezoid

b)

rhombus

c)

parallelogram

d)

rectangle

7.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

8.

Find the value of x.

a)

4

b)

6

c)

5

d)

129

9.

Solve for the variables.

a)

m=68, n=70

b)

m=35, n=70

c)

m=35, n=110

d)

m=68, n=110

10.

Select the correct equation to solve for x.

a)

3x + 6 = 2x + 5

b)

5x = 11

c)

6x = 30

d)

6x² = 30

11.

Solve for x.

a)

6

b)

8

c)

10

d)

12

12.

$\overline{BD}$ and $\overline{AC}$ are diameters in circle F. What is the measure of central $\angle\ CFD$ ?

a)

$60\degree$

b)

$70\degree$

c)

$50\degree$

d)

$120\degree$

13.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

14.

Find the measure of the arc or central angle indicated. Assume that lines which appear tangent are tangent.

a)

A

b)

B

c)

C

d)

D

15.

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

a)

9.2 sq. in.

b)

10.5 sq. in.

c)

31.4 sq. in.

d)

38.2 sq. in.

16.

What is the surface area?

a)

242.2 in²

b)

20.9 in²

c)

145.6 in²

d)

47 in²

17.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

160 cm³

c)

42 cm³

d)

40 cm³

18.

Find the Surface Area of the cylinder.

a)

3015.93cm²

b)

1156.11cm²

c)

578.05cm²

d)

779.11cm²

19.

Find the surface area.

a)

314.16 in³

b)

314 in²

c)

166.67 in²

d)

521.24 in²

20.

Find the volume of the cone.

a)

71.78 in³

b)

215.33 in³

c)

65.97 in³

d)

197.92 in³

Geom Final Exam Part 1

Total questions: 20

Worksheet time: 3570secs

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