Honors Geometry A Final Exam Review

1. If RS = 44 and QS = 89.8, find QR.

2. Find the distance between the points (3, –5) and (6, –6).

[A] 10[B] 202 [C] [D]

3. Find the area:4. Find the area: 5. Solve for x:

6. Decide which one of the following statements is false.

[A] A line contains at least two points.[B] Any three points lie on exactly 1 plane.

[C] Three noncolinear points determine a plane.[D] Through any twopoints there exists exactly one line.

7. are a linear pair. If , then find

8. Solve for x:

9. Define skew lines.

10. In the figure, and are ______.

11. In the figure, are ______.

12. In the figure, are ______.

13. Find m1 in the figure below. and are parallel.

14. Find the slope of the line passing through the points A(–3, –8) and B(–2, –5).

15. Find the value of x.16. Find the value of x.17. Find the value of x.

18. Refer to the figure below. Which of the following statements is true?

19. Refer to the figure below. Which of the following statements is true?

20. State the postulate or theorem that can be used to conclude that.

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

22. What is the measure of each base angle of an isosceles triangle if its vertex angle measures 30 degrees and its 2 congruent sides measure 16 units?

23. A scalene triangle is placed in a convenient position in the first quadrant of a coordinate plane. Which is the missing label for the vertex?

24. Given: bisects RST . Find QR if and (not drawn to scale)

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

26. The medians of a triangle are concurrent. Their common point is called what?

27. Two sides of a triangle have lengths 7 and 15. The length of the third side must be greater than _____ and less than ____.

28. Is it possible for a triangle to have sides with the given lengths?

4 cm, 3 cm, 14 cm

29. Refer to the figure below.Given: AB = AD, m1 > m2. Then,

30. The figure below is an example of a(n) ______

31. Name a polygon with 10 sides.

32. If the diagonals of a parallelogram are equal in length, then the parallelogram is also what type of figure?

33. Choose the statement that is NOT ALWAYS true. For a rhombus ______.

[A] the diagonals are congruent[B] the diagonals are perpendicular

[C] all four sides are congruent[D] each diagonal bisects a pair of opposite angles

34. In what type of trapezoid are the base angles congruent?

35. For the trapezoid shown below, the measure of the midsegment is ______.

36. Find the midpoint of the midsegment of the trapezoid with vertices and

37. Choose the figure below which satisfies the definition of a kite.

[A] [B] [C] [D]

38. Find in the diagram, if and

39. Identify the quadrilateral which has all sides and angles congruent.

40. Find the area:

41. Find the area of a rectangle that measures 10 yd by 12 yd.

42. Find the area of a square with side length 14 m.

43. Find the height of the triangle if the area is 6.195 (not drawn to scale).

44. Find the area:

45. Which statement is false for the triangle in the diagram?

46. Find the measure of the missing angle.47. Find x and y.

48. Complete the statement for parallelogram DEFG.49. Complete the statement for parallelogram

Then state a definition or theorem as the reason. JKLM. Then state a definition or theorem as

_____ the reason. _____

50. Find AM in the parallelogram if and

51. The area of the parallelogram is _____.

52. Find the value of the variables in the parallelogram.

53. Find the indicated measures if AE = 12, AD= 20, CD= 8, m<DBC = 32, m<BDC = 15.

54. Which of the these lines are parallel?55. Which of these lines are perpendicular?

56. In parallelogram ABCD, m<A= 46. What is the measure of angle B?

57. Find the area of the region shown by dividing it 58. Find the area of quadrilateral ABCD.

into two trapezoids.

Use the following statement to answer 59-61.

If two angles are complementary then their measures sum to 90°.

59. Write the converse.60. Write the inverse.61. Write the contrapositive.

62. Fill-in the blanks in this indirect proof.

Given: m1 = 126 and m2 = 125

Prove:

Assume ______.

If then _____ ______because when you have parallel lines, then the alternate interior angles are congruent. But this contradicts the ______which states measurements for  1 and  2 that are not equal. Therefore must be ______and must be ______.

63. Complete the proof. Supply a reason in each blank.

Given:

Prove:

1. ______2. ______

5. ______

4.______

3. ______

64. Complete the proof.

Statements / Reasons

/ 1.
2.
3.
4.
5.
6.

65. Complete the proof.

Statements / Reasons
/ 1. Given
2.
3. Reflexive
4.
5.