Final Exam Version B

45 Questions | By Annacabral | Last updated: Jan 15, 2013 | Total Attempts: 30

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Geometry Semester 2 Final Exam

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Questions and Answers

1.

What is the correct factorization of the expression 8x² - 4x³?A. 4x(2x - x²)B. 4x²(2 - x)C. 8x²(1 - 2x)D. x²(8 - 4x)E. none of the above
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
- E.
  
  E
2.

Which is the correct factorization of the trinomial 4x² + 6x + 9?
- A.
  
  (4x + 3)(x + 3)
- B.
  
  (4x + 9)(x + 1)
- C.
  
  (2x + 3)(2x + 3)
- D.
  
  (2x + 9)(2x + 1)
- E.
  
  (4x + 1)(x + 9)
3.

What are the solutions to the equaiton (x + 5)(x - 2) = 0?
- A.
  
  -5 only
- B.
  
  2 only
- C.
  
  -5 and 2
- D.
  
  5 only
- E.
  
  -2 only
4.

Two angles of a triangle have measures of 45 degrees and 50 degrees. What is the measure of the third angle?
- A.
  
  85 degrees
- B.
  
  95 degrees
- C.
  
  45 degrees
- D.
  
  50 degrees
- E.
  
  none of the above
5.

Find the missing side of the two similar triangles below, marked x.
- A.
  
  18
- B.
  
  4
- C.
  
  3
- D.
  
  5
- E.
  
  36
6.

What is the slope of the line 3y - 5x = 9?
- A.
  
  5/3
- B.
  
  -5/3
- C.
  
  3
- D.
  
  -3
- E.
  
  None of the above
7.

Given that line GH is parallel to JI below, find x in degrees.
- A.
  
  120 degrees
- B.
  
  60 degrees
- C.
  
  30 degrees
- D.
  
  90 degrees
- E.
  
  180 degrees
8.

Given the right triangle below, find the length of the hypotenuse.
- A.
  
  23
- B.
  
  7
- C.
  
  17
- D.
  
  20
- E.
  
  22
9.

Find the length of the missing leg of the right triangle shown below.
- A.
  
  18
- B.
  
  32
- C.
  
  20
- D.
  
  22
- E.
  
  24
10.

Use the special right triangle ratios to find the missing side of the 45-45-90 triangle shown below:
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
- E.
  
  E
11.

Use the 30-60-90 triangle shown below to find the missing side.
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
- E.
  
  E
12.

Find the missing side of the 30-60-90 triangle below:
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
- E.
  
  E
13.

Use the right triangle below to find Sin(A):
- A.
  
  4/3
- B.
  
  3/5
- C.
  
  3/4
- D.
  
  4/5
- E.
  
  5/3
14.

Use the right triangle below to find Tan(A):
- A.
  
  12/5
- B.
  
  5/12
- C.
  
  12/13
- D.
  
  5/13
- E.
  
  13/5
15.

What is the interior angle sum of an octagon?
- A.
  
  1620 degrees
- B.
  
  1260 degrees
- C.
  
  1080 degrees
- D.
  
  900 degrees
- E.
  
  720 degrees
16.

What is the measure of one exterior angle of a regular nonagon?
- A.
  
  30 degrees
- B.
  
  40 degrees
- C.
  
  45 degrees
- D.
  
  36 degrees
- E.
  
  20 degrees
17.

Given parallelogram PQRS below, solve for x given the opposite sides PS and QR.
- A.
  
  3
- B.
  
  17/5
- C.
  
  15
- D.
  
  4
- E.
  
  5
18.

Given parallelogram PQRS, find angle P.
- A.
  
  135 degrees
- B.
  
  90 degrees
- C.
  
  45 degrees
- D.
  
  22.5 degrees
- E.
  
  None of the above
19.

Given parallelogram PQRS, find angle Q.
- A.
  
  40 degrees
- B.
  
  50 degrees
- C.
  
  100 degrees
- D.
  
  140 degrees
- E.
  
  None of the above
20.

Given parallelogram PQRS with diagonals PR and QS drawn and meeting at point T, if PT = 8 units, find the length of PR.
- A.
  
  8
- B.
  
  4
- C.
  
  16
- D.
  
  12
- E.
  
  Cannot be determined
21.

Given rectangle ABCD with diagonals drawn in, solve for x if AC = 4x + 2 and BD = 2x + 10.
- A.
  
  X = 4
- B.
  
  X = 6
- C.
  
  X = 8
- D.
  
  X = 10
- E.
  
  X = 12
22.

What is the measure of angle AEB in the rhombus below?
- A.
  
  60 degrees
- B.
  
  80 degrees
- C.
  
  90 degrees
- D.
  
  100 degrees
- E.
  
  Cannot be determined
23.

Given the rhombus below, use Pythagorean Theorem to find one of the missing side lengths.
- A.
  
  15
- B.
  
  17
- C.
  
  18
- D.
  
  13
- E.
  
  Cannot be determined
24.

What is the area of a circle that has a radius of 8 units?
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
- E.
  
  E
25.

What is the circumference of a circle that has a diameter of 8 units?
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
- E.
  
  E

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