1st Semester review
Chapter 1
1. How many point do you need to form:
A line______
A plane ______
Space ______
Use the addition postulates to find the following
2. If B is between A and C AB = 5x BC = 2x + 3
AC = 45
Find AB. ______
3. X ix in the interior of <ABC and m<ABC = 78 m<ABX = 33
Find m<XBC______
4. Define the following and sketch a picture:
Acute angle______
Right angle ______
Obtuse angle ______
Straight angle ______
Vertical angles ______
Linear Pair angles ______
5. If B is the midpoint of find the following
If AB = 14 find BD = ______
If BD = 16 find AD = ______
If BD = 2x + 4 & AB = 3x ─ 1 find
AD = ______
6. Find the following given A (4, ─3) D ( 8, 1)
Slope of ______
Length of ______
Midpoint of ______
7. Find the following given B (─2, 7) C (4, 5)
Slope of ______
Length of ______
Midpoint of ______
8. Find x
10x + 25
13x ─ 8
9.
9x + 20
4x ─ 9
10. Find the complement and supplement of angles
Angle of 62.5º
Complement ______
Supplement______
Angle of 2x + 40
Complement ______
Supplement ______
Chapter 2
11. Identify the hypothesis and conclusion,
If a number is a perfect square, then it is positive.
Hypothesis ______
Conclusion______
Is it true or false?______
Write the converse of the conditional above.
Is it T or F?
12. What is the next number in the pattern?
1, 10, 18, 25, ______
13. Given If p →q, write the
Converse______
Inverse______
Contrapositive______-
List the 2 logically equivalent pairs.
14. What is a counterexample?______
______
Identify the following (15 & 16) as either the
Law of Syllogism or the Law of Detachment
15.Given: If the front goes thru, then it will rain.
If it rains, then it will flood.
Conjecture: If the front goes thru, then it will flood.
______
16. Given: If 2 segments are , then they are =.
.
Conjecture: AD = BC
______
Chapter 3
17. Identify the type of angles
<3 & <7 ______
<4 & <6 ______
<2 & <8 ______
<1 & <8 ______
Given the lines ║
18. Given m<1 = 4x + 8 m<5 = 6x ─2
Find x ______
19. Given: m<2 = 11x ─ 5 m<7 = 6x + 15
Find m<7 ______
20. Given m<7 = 7x + 15 m<1 = 9x + 3
Find m<1______
Write the equation of the following lines:
21. in y-intercept form a line parallel to y = 5x + 3
passing through (─2, 7)
______
Determine if the pair of lines are parallel, intersect, or coincide.
22. 3x = ─6y + 3 23. 4x ─ 3y = ─ 1
2y = ─x + 1 3x ─ y = ─2
Use slope to determine whether the lines are parallel, perpendicular, or neither.
24. A(2, 6) B(8, 3) C(1, 4) D(7, 1)
25. A( ─3, 4) B(5, 2) C(6, 6) D( 4, ─2)
26. Define the following:
Skew______
Parallel ______
Perpendicular______
Chapter 4
27. If name the 6 pairs of corresponding parts.
28. Classify and
29. Solve for x and find the angle measurements.
Why are the following triangles congruent?
30. Given m<BCA = m<DCA ______
31. ______
32. ______
33. ______
34. Given m<TSR = m<TUR ______
Chapter 5
Name the special line segments and the point of concurrency for each of the following:
35. 36.
37. 38.
Given 3 lengths, state if they can make a triangle.
39. 3, 6, 10 40. 5, 8, 4 41. 19, 6, 14
42. Find the range for the 3rd side given two sides of 10 and 8.
43. & 44. Using the Hinge Theorem state <, =, >
43. m<ABC ______m<DBC
44. ST ______UV
45. List the sides in order from least to greatest.
Given X,Y, Z are midpoints
15
12 18
46.Find XY ______
47.Find BC______
48.Find the perimeter of triangle XYZ ______
49.Find AB ______
M is the centroid. Find the following
50. CM = 28 find MD = ______
51. AE = 36 find MA = ______
52. MB = 18 find BF = ______
Right Triangles
Classify the following triangles as acute, obtuse, or right
53. 4, 7, 9
54. 5, 12, 13
55. 4, 6, 7
56. Find the geometric mean of 4 & 10
57. x
3
6
8
58. x
y
59. x
y
60. Equilateral Triangle
61. 5 15
x
62. 8 x
63. Equilateral triangle
15
x
Proofs
64. Given: P is the midpoint of and .
Prove:
65. Given: T is the midpoint of .
Prove:
66. Given: ║
Prove: <1 and <4 are supplementary
B 4 C
2 3
E 1 F
67. Given: l ║ m; m<1 = m<2
Prove: m<2 = m<4
1 2
l
4 3
m