Download Chapter 2 Review

Chapter 2 Review
Geometry
Name:__________________________________________
Fill in the blank with the correct term.
1. Two angles that add up to 180. __________________
TERMS
Complementary
Angles
Supplementary
Angles
Midpoint
Adjacent Angles
Segment Bisector
Angle Bisector
Linear Pair
Vertical Angles

2. Ray that divides an angle into two congruent angles. __________________
3. A segment, line, ray or plane that intersects a segment at its midpoint. ________________

4. The point right in the middle of a segment. __________________





5. Two angles that add up to 90. __________________
6. Two angles that make a straight line. __________________
7. Angles that are right next to each other and share a common side. __________________
8. Angles across from each other that are always equal. __________________

M is the midpoint of each segment. Write an equation, solve for x, and find the indicated lengths.
11.
12.
13.
Equation:
Equation:
Equation:
x =_______ EM
= ______ MF= ______
x =_______ JM = ______ MK = ______
x  x y  y
,
Use the Midpoint Formula 
 to find the midpoint coordinate for each pair of points.
2 
 2
14. 7,  2 and 5, 1
15. 10, 4 and  4,  8
(
,
)
(
,
x =_______ LM
= ______ MN = ______
16.  9, 2 and 5, 3
)
(
,
Midpoint:
Midpoint:
Midpoint:
Notice the bisector and corresponding tick marks. Find the indicated lengths.
18.
19.
20. AC = 50 cm
15.5
)
4½
TS = _______ RS = _______
CB = _______ AB = _______
21. Name the bisector of this angle.______
Name the congruent angles: _____________
AB = _______ BC = _______
Find the angle measurements using the bisector information given. Do NOT use a protractor for these questions!
BD bi sec ts ABC
22.
m1  50 
m2  _______
mABC  _____
YA bi sec ts XYZ
23.
mXYZ  70 
m1  ______
m2  ______
Given that BD is the bisector of  ABC, write an ALGEBRAIC EQUATION and solve.
24. Equation:
25. Equation:
x = _______
mABD = _______ mABC = _______
x = _______ mABD = _______ mDBC = _______ mABC = _______
Name the adjacent angles in each picture:
26.
27.
Adjacent Angles: _______________________
28.
Adjacent Angles: _______________________ Adjacent Angles: _____________________________
29. Complementary angles add to ________
Supplementary angles add to ________
Find the measure of the complement and the supplement of each angle.
30. 30
31. 75
32. 150
33.
complement - _________
complement - _________
complement - _________
complement - _________
supplement - _________
supplement - _________
supplement - _________
supplement - _________
Find the measure of the given angle(s).
34.
35.
These angles add to ________
m1 = _________
36.
These angles add to ________
m1 = _________
 2 and the 20 angle are ___________
m1 = _________ m2 = _______ m3 = _______
Given the picture, write an algebraic equation and solve for x.
37.
38.
These angles add to ________
Equation:
179
39.
These angles add to ________
Equation:
These angles add to ________
Equation:
x = _______
x = _______
x = _______
Determine whether the angles are vertical angles, a linear pair, or neither.
40. 1 and 4 _______________________
41. 1 and 5 _______________________
42. 1 and 2 _______________________
43. 3 and 4 _______________________
44. 4 and 5 _______________________
45. 2 and 3 _______________________
Find the measure of each numbered angle.
46.
47.
48.
29
m2 = _________
m1 = _____ m2 = _____
m1 = _____ m2 = _____
m3 = _____ m4 = _____
m3 = _____ m4 = _____
Use the linear pair or vertical angles to write an ALGEBRAIC EQUATION and solve.
49.
50.
51.
These angles add to ________
These angles add to ________
These angles are _____________
Equation:
Equation:
Equation:
x = _______
x = _______
w = _______
Use the diagram for the following questions.
52. An angle complementary to 2 _____
53. An angle complementary to 4 _____
54. An angle supplementary to EGC _____
55. An angle supplementary to AGB _____
56. A vertical angle with AGB _____
57. A vertical angle with 4 ____
Identify the hypothesis and conclusion of the if-then statement by underlining.
58. If two angles have the same measure, then the angles are congruent.
59. If the measure of an angle is 90˚, then the angle is a right angle.
60. If the sum of the measures of two angles is 180˚, then the angles are supplementary.
Rewrite the statement in if-then form.
61. I will purchase a yearbook if it costs less than $20.
62. A dog with proper training will not misbehave.
63. Two angles that have the same measure are congruent angles.
What law of logic is illustrated in the following statements? What can you conclude if the statements are true?
64. If you earn more than $14, you can buy a new CD. You earn $15.
Law:
Conclusion:
65. If the area of a square is 49 square inches, then the length of a side of the square is 7 inches. If the length of a side of a
square is 7 inches, then the perimeter of the square is 28 inches.
Law:
Conclusion:
66. If the measure of an angle is between 0˚ and 90˚, then the angle is acute. The measure of an angle is 51˚.
Law:
Conclusion:
Match each statement with the property that it illustrates.
67. ∠B ≅ ∠B
A. Reflexive Property of Equality
̅̅̅̅ ≅ 𝑅𝑆
̅̅̅̅, then 𝑅𝑆
̅̅̅̅ ≅ 𝑃𝑄
̅̅̅̅
68. If 𝑃𝑄
B. Symmetric Property of Equality
69. If m ∠A = m ∠B and m ∠B = m ∠C, then m ∠A = m ∠C.
C. Transitive Property of Equality
̅̅̅̅ and 𝑂𝑃
̅̅̅̅ ≅ ̅̅̅̅
70. If ̅̅̅̅̅
𝑀𝑁 ≅ 𝑂𝑃
𝑄𝑅, then ̅̅̅̅̅
𝑀𝑁 ≅ ̅̅̅̅
𝑄𝑅
D. Reflexive Property of Congruence
71. m ∠1 = m ∠1
E. Symmetric Property of Congruence
72. If m ∠3 = m ∠4, then m ∠4 = m ∠3
F. Transitive Property of Congruence
Name the property of equality that the statement illustrates.
73. If m ∠1 = m∠4, then m ∠1 - 30˚ = m ∠4 - 30˚ _____________________________________________
74. If LM = NP, then 2•LM = 2•NP ________________________________________
75. If XY = EF, then XY + 7 = EF + 7 ________________________________
76. If CD = 4, then CD + 12 = 4 + 12 _________________________________
77. In the diagram, AB + BC = 12, and BC = 3. Complete the argument to show that AB = 9.
AB + BC = 12
Given
BC = 3
Given
AB + 3 = 12
_____________________ property of equality
AB = 9
_____________________ property of equality
78. In the figure at the right, ∠JKL ≅ ∠EDF, and ∠EDF ≅ ∠CDE. Complete the argument to show that ∠CDE ≅ ∠JKL.
∠JKL ≅ ∠EDF
Given
∠EDF ≅ ∠CDE
Given
∠JKL ≅ ∠CDE
__________________ property of congruence
∠CDE ≅ ∠JKL
__________________ property of congruence
79. In the diagram, m ∠1 + m ∠2 = 98˚, and m ∠1 = 42˚. Complete the argument to show that m ∠2 = 56˚.
m ∠1 + m ∠2 = 98˚
Given
m ∠1 = 42˚
Given
42˚ + m ∠2 = 98˚
________________________
m ∠2 = 56˚
________________________