Download 1st Semester review

1st Semester review
Chapter 1
1. How many point do you need to form:
6. Find the following given A (4, ─3) D ( 8, 1)
A line________________________________
Length of AD _________________________
A plane ______________________________
Slope of AD __________________________
Midpoint of AD ________________________
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. _____________
7. Find the following given B (─2, 7) C (4, 5)
Slope of BC ___________________________
Length of BC __________________________
3. X ix in the interior of <ABC and m<ABC = 78
m<ABX = 33
Midpoint of BC ________________________
Find m<XBC_____________
8. Find x
4. Define the following and sketch a picture:
10x + 25
Acute angle______________________________
13x ─ 8
Right angle ______________________________
Obtuse angle _____________________________
Straight angle ____________________________
Vertical angles ___________________________
9.
9x + 20
4x ─ 9
Linear Pair angles _________________________
5. If B is the midpoint of AD find the following
If AB = 14 find BD = __________
10. Find the complement and supplement of angles
Angle of 62.5º
Complement ______________
If BD = 16 find AD = ___________
If BD = 2x + 4 & AB = 3x ─ 1 find
AD = ___________
Supplement________________
Angle of 2x + 40
Complement _______________
Supplement ________________
Chapter 2
Chapter 3
11. Identify the hypothesis and conclusion,
If a number is a perfect square, then it is positive.
17. Identify the type of angles
3 4
2 1
Hypothesis ______________________________
Conclusion______________________________
7
Is it true or false?_________________________
Write the converse of the conditional above.
Is it T or F?
6
8
5
<3 & <7 ___________________________
<4 & <6 ___________________________
12. What is the next number in the pattern?
<2 & <8 ___________________________
1, 10, 18, 25, ________
<1 & <8 ___________________________
13. Given If p →q, write the
Converse________________
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
Inverse__________________
Find m<7 _____________________
Contrapositive__________________List the 2 logically equivalent pairs.
20. Given m<7 = 7x + 15 m<1 = 9x + 3
Find m<1______________________
14. What is a counterexample?__________________
___________________________________________
Write the equation of the following lines:
21. in y-intercept form a line parallel to y = 5x + 3
passing through (─2, 7)
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.
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
________________________________
16. Given: If 2 segments are  , then they are =.
AD  BC .
Conjecture: AD = BC
_________________________________
Use slope to determine whether the lines are parallel,
perpendicular, or neither.
24. AB & CD A(2, 6) B(8, 3) C(1, 4) D(7, 1)
25. AB & CD A( ─3, 4) B(5, 2) C(6, 6) D( 4, ─2)
26. Define the following:
31.
________
Skew____________________________________
Parallel __________________________________
L
Perpendicular______________________________
Chapter 4
J
27. If ABC  XYZ name the 6 pairs of corresponding
parts.
K
B
A
28. Classify
ABD and BCD
C
32.
________
E
D
25º
A
60º
||
C
||
D
70º
A
B
C
B
29. Solve for x and find the angle measurements.
L
(
(3x ─ 5)º
33.
(2x + 15)º
________
R
120º
K
M
N
S
||
34.
T
||
U
Given m<TSR = m<TUR
_________
R
Why are the following triangles congruent?
30. Given m<BCA = m<DCA
________
C
B
S
D
A
T
U
Chapter 5
Name the special line segments and the point of
concurrency for each of the following:
35.
Given X,Y, Z are midpoints
A
15
Z
C
36.
12
18
X
Y
B
37.
38.
46.Find XY _______
47.Find BC________
Given 3 lengths, state if they can make a triangle.
48.Find the perimeter of triangle XYZ ______
39. 3, 6, 10
49.Find AB _________
40. 5, 8, 4
41. 19, 6, 14
M is the centroid. Find the following
B
42. Find the range for the 3rd side given two sides of 10
and 8.
D
M
43. & 44. Using the Hinge Theorem state <, =, >
43. m<ABC ______ m<DBC
A
B
12
10
A
12
C
E
F
D
8
C
50. CM = 28 find MD = ______
V
S
31
28
U
51. AE = 36 find MA = _______
52. MB = 18 find BF = ________
44. ST ______ UV
Right Triangles
T
Classify the following triangles as acute, obtuse, or right
53. 4, 7, 9
54. 5, 12, 13
45. List the sides in order from least to greatest.
I
55. 4, 6, 7
56. Find the geometric mean of 4 & 10
48º
62º
K
J
57.
x
Proofs
64. Given: P is the midpoint of
Prove:
3
6
T
.
R
8
58.
and
P
x
30
3033
y
0
45
59. x
S
Q
. TP  SR
65. Given: T is the midpoint of
Prove: TPR  TPS
10
P
y
60. Equilateral Triangle
S
y
9
60
x
T
66. Given: BC ║ EF
Prove: <1 and <4 are supplementary
B
4
2
E
61.
5
R
C
3
1
F
15
x
62.
8
x
67. Given: l ║ m; m<1 = m<2
Prove: m<2 = m<4
1 2
l
4
m
63. Equilateral triangle
15
y
x
3