Geometry Exam Review

Geometry Exam Review

1st Semester

1. If the pattern indicated below is continued, what would be the total number of cubes in the 8th stage of the pattern?

A) 204

B) 9

C) 81

D) 194

2. If , and , find .

A) 119.1

B) 9.1

C) 19.1

D) 50

3. Let D be between E and F. Use the Segment Addition Postulate to solve for n.

A)

B)

C)

D)

4. Find the distance between the points (–5, –4) and (2, 2).

A)

B)

C)

D)

5. Draw a labeled diagram for a line.

A)

B)

C)

D)

6. If and , then what is the measure of ?

A)

B)

C)

D)

7. and and . Find and

A)and

B) and

C) and

D) and

8. If angle is acute and angle is right, then angle is what kind of angle?

A)acute

B) obtuse

C) right

D) straight

9. If an obtuse angle is bisected, the resulting angles are ______.

A)never congruent

B) always obtuse

C) right angles

D) always acute

10. In the figure shown, . Which of the following statements is false?

A) and are adjacent angles

B) and are supplementary

angles

C)

D)

11. Solve for x:

12. Solve for x:

13. Solve for x:

A) 2

B) 5

C) 7

D) 4

14. Name an angle adjacent to

A)

B)

C) or

D) , , or

15. Find the area of a circle with radius 14 cm. Use .

A) 615.44 cm2

B) 307.72cm2

C) 87.92cm2

D) 1230.88cm2

16. Find the circumference of the circle. Use .

A) 107.72 in.

B) 357.96 in.2

C) 357.96 in.

D) 10201.9 in.

17. Rewrite the statement in if-then form. “Every triangle has three sides”

A) If a figure has three sides, then it is a

triangle.

B) A figure has three sides if and only if

it is a triangle.

C) If a figure is a triangle, then it has

three sides.

D) A figure is a triangle if and only if it

has three sides.

18. “If I get a chance, I will succeed.” In this conditional statement, the underlined portion is ____.

A)the converse

B) the conclusion

C) the hypothesis

D) the argument

19. Choose the phrase that completes the following statement as stated by the Point, Line, and Plane Postulates: Skew lines ___ intersect in exactly one point.

A)always

B) never

C) sometimes

D) Point, Line, and Plane Postulates do not address this topic directly

20. Which of the following is an example of the Transitive Property?

A)

B) If and , then

C) If , then

D) If , then

21. Identify the property of congruence. “If and , then .

A) Transitive Property of Congruence

B) Reflexive Property of Congruence

C) Substitution Property

D) Symmetric Property of Congruence

22. Give the reason for the step taken from a proof.

and are a linear pairGiven

?

A) Vertical Angles Theorem

B) Congruent Complements Theorem

C) Linear Pair Postulate

D) Congruent Supplements Theorem

23. and are a linear pair. If , then find .

A)

B)

C)

D)

24. Which is a pair of parallel planes?

A)RNO and RNM

B) HIS and RLK

C) IJK and OQM

D) IJK and RNM

25. Find in the figure below. and are parallel.

A)

B)

C)

D)

26. Find in the figure below. and are parallel.

A)

B)

C)

D)

27. In the figure, and r is a transversal. Which of the following is not necessarily true?

A)

B)

C)

D)

28. Find the slope of the line passing through the points A(8, 6) and B(2, 3).

A)

B)

C)

D)

29. Find the slope of the line.

A)

B)

C)

D)

30. A line parallel to is ______.

A)

B)

C)

D)

31. Find the slope-intercept form of the line passing through the point (6, 4) and parallel to the line

A)

B)

C)

D)

32. Which best describes the relationship between the lines with equations and ?

A)perpendicular

B) same line

C) neither parallel nor perpendicular

D) parallel

33. Which is the slope of a line perpendicular to the line

A)

B)

C)

D)

34. A line perpendicular to is ______.

A)

B)

C)

D)

35. Which best describes the relationship between Line 1 and Line 2.

Line 1 passes through (-1, 7) and (-3, 10)

Line 2 passes through (-2, 9) and (-5, 7)

A)parallel

B) perpendicular

C) neither perpendicular nor parallel

D) they are the same line

36. Classify

A)scalene

B) isosceles

C) equilateral

D) none of these

37. Name an obtuse triangle.

A)

B)

C)

D) none of these

38. How many obtuse angles can an isosceles triangle have?

A) 3

B) 2

C) 1

D) 0

39. Find the value of x.

A)

B)

C)

D)

40. Find the value of x.

A) 243

B) 57

C) 120

D) 63

41. Find the value of x.

A)

B)

C)

D)

42. Find the measure of the interior angles to the nearest tenth. (Drawing is not to scale).

A), ,

B) , ,

C) , ,

D) , ,

43. The measure of is _____.

A)

B)

C)

D)

44. The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.

A), , , ,

B) , , , ,

C) , , , ,

D) , , , ,

45. If , AB=23 feet, , and , which of the following statements is false?

A)

B)

C)

D)

46. If and , then . This illustrates which property of congruence?

A) Transitive

B) Commutative

C) Symmetric

D) Reflexive

47. What must be true in order for by the SAS Congruence Postulate?

A)

B)

C)

D)

48. Refer to the figure shown. Which of the following statements is true?

A) by SAS

B) by ASA

C) by ASA

D) by ASA

49. Which postulate or theorem can be used to determine the measure of ?

A) SAS Congruence Postulate

B) AAS Congruence Theorem

C) SSS Congruence Postulate

D) ASA Congruence Postulate

50. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 38 degrees and its 2 congruent sides measure 18 units?

A)

B)

C)

D)

51. Find the values of x and y.

A);

B) ;

C) ;

D) ;

52. . Name the theorem or postulate that justifies the congruence.

A) ASA

B) HL

C) SAS

D) AAS

53. An isosceles right triangle is placed in a convenient position in the first quadrant of a coordinate plane. Which is the missing label for the vertex?

A)

B)

C)

D)

54. Given is the perpendicular bisector of . Which statement is true?

A)D is the midpoint of

B) is a right angle

C)

D)

55. Given: bisects . Find ED if CB=15 and CE=36. (not drawn to scale)

A) 39

B) 540

C) 51

D) 21

56. In the figure (not drawn to scale), bisects , , and . Solve for x and find .

A) 7;

B) 2;

C) 7;

D) 2;

57. The medians of a triangle are concurrent. Their common point is the _____.

A)incenter

B) circumcenter

C) orthocenter

D) centroid

58. In a triangle, a segment connecting the midpoints of two sides of the triangle is called a _____.

A)centroid

B) shortcut

C) midsegment

D) vertex

59. For the triangle shown, VS=5 and VQ=6. Then PQ=____.

A) 5

B) 10

C) 11

D) 12

60. Refer to the figure. The longest side is _____.

A)

B)

C)

D)

61. Which side lengths allow you to construct a triangle?

A) 7, 2, and 2

B) 6, 8, and 10

C) 2, 3, and 8

D) 4, 1, and 9

62. Two sides of a triangle have sides 6 and 9. The length of the third side must be greater than ___ and less than ___.

A) 6, 9

B) 5, 10

C) 3, 15

D) 2, 16

63. Which of these lengths could be the sides of a triangle?

A) 8 cm, 20 cm, 12 cm

B) 12 cm, 18 cm, 4 cm

C) 18 cm, 12 cm, 5 cm

D) 20 cm, 8 cm, 13 cm

64. Refer to the figure. Choose the correct statement.

A)

B)

C)

D)

65. Which figure below is not a polygon?

A) B)

C) D)

66. Identify the concave non-polygonal figure.

A) B)

C) D)

67. Which one of the statements below is false?

A) A quadrilateral has 6 angles.

B) A pentagon has 5 sides.

C) A hexagon has 6 sides.

D) An octagon has 8 angles.

68. Name a polygon with 4 sides.

A) octagon

B) triangle

C) quadrilateral

D) pentagon