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. __________________

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. __________________

TERMS
Complementary
Angles
Supplementary
Angles
Midpoint
Adjacent Angles
Segment Bisector
Angle Bisector
Linear Pair
Vertical Angles
M is the midpoint of each segment. Solve for x and find the indicated lengths.
9.
10.
Equation:
Equation:
x =_______ EM
= ______ MF= ______
x =_______ JM
= ______ MK = ______
Find the midpoint between each pair of points using the Midpoint Formula.
12.  9, 2 and 5, 3
11. 10, 4 and  4,  8
Midpoint:
(
,
 x1  x 2 y1  y 2 
,


2 
 2
)
Midpoint:
(
,
)
Find the indicated lengths.
13.
14.
15.5
TS = _______ RS = _______
15.
AC = 50 cm
4½
CB = _______ AB = _______
AB = _______ BC = _______
Find the angle measurements using the bisector information given.
BD bi sec ts ABC
16.
YA bi sec ts XYZ
m1  50 
17.
m2  _______
mABC  _____
mXYZ  70 
m1  ______
m2  ______
Given that BD is the bisector of  ABC, write an equation and solve.
18. Equation:
x = _______
19. Equation:
x = _______ mABD = _______ mDBC = _______ mABC = _______
mABD = _______ mABC = _______
20. Complementary angles add to ________
21. Supplementary angles add to ________
Find the measure of the complement and the supplement of each angle, if possible.
22. 30
23. 75
24. 150
complement - _________
complement - _________
complement - _________
supplement - _________
supplement - _________
supplement - _________
Find the measure of the given angle(s).
25.
26.
48
°
These angles add to ________
These angles add to ________
m1 = _________
m1 = _________
27.
 2 and the 20 angle are ___________
m1 = _________ m2 = _______ m3 = _______
Solve for x.
28.
29.
30.
These angles add to ________
Equation:
These angles add to ________
Equation:
x = _______
x = _______
These angles add to ________
Equation:
x = _______
Determine whether the angles are vertical angles, a linear pair, or neither.
31. 1 and 4 _______________________
32. 1 and 5 _______________________
33. 1 and 2 _______________________
34. 3 and 4 _______________________
35. 4 and 5 _______________________
36. 2 and 3 _______________________
Find the measure of each numbered angle.
37.
38.
39.
m1 = _____ m2 = _____
m1 = _____ m2 = _____
m3 = _____ m4 = _____
m3 = _____ m4 = _____
40.
41.
42.
These angles add to ________
These angles add to ________
These angles are _____________
Equation:
Equation:
Equation:
x = _______
x = _______
w = _______
29
m2 = _________
Solve for the variable.
Use the diagram for the following questions.
43. An angle complementary to 2 _____
44. An angle complementary to 4 _____
45. An angle supplementary to EGC _____
46. An angle supplementary to AGB _____
47. A vertical angle with AGB _____
48. A vertical angle with 4 ____
Underline the hypothesis and circle the conclusion of the if-then statement.
49. If two angles have the same measure, then the angles are congruent.
50. If the measure of an angle is 90˚, then the angle is a right angle.
51. If the sum of the measures of two angles is 180˚, then the angles are supplementary.
Rewrite the statement in if-then form.
52. I will purchase a yearbook if it costs less than $20.
53. A dog with proper training will not misbehave.
54. 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?
55. If you earn more than $14, you can buy a new CD. You earn $15.
Law:
Conclusion:
56. 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:
57. 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.
58. ∠B ≅ ∠B
A. Reflexive Property of Equality
̅̅̅̅ ≅ 𝑅𝑆
̅̅̅̅, then 𝑅𝑆
̅̅̅̅ ≅ 𝑃𝑄
̅̅̅̅
59. If 𝑃𝑄
B. Symmetric Property of Equality
60. If m ∠A = m ∠B and m ∠B = m ∠C, then m ∠A = m ∠C.
C. Transitive Property of Equality
̅̅̅̅ and 𝑂𝑃
̅̅̅̅ ≅ ̅̅̅̅
61. If ̅̅̅̅̅
𝑀𝑁 ≅ 𝑂𝑃
𝑄𝑅, then ̅̅̅̅̅
𝑀𝑁 ≅ ̅̅̅̅
𝑄𝑅
D. Reflexive Property of Congruence
62. m ∠1 = m ∠1
E. Symmetric Property of Congruence
63. If m ∠3 = m ∠4, then m ∠4 = m ∠3
F. Transitive Property of Congruence
Name the property of equality that the statement illustrates.
64. If m ∠1 = m∠4, then m ∠1 - 30˚ = m ∠4 - 30˚ _____________________________________________
65. If LM = NP, then 2•LM = 2•NP ________________________________________
66. If XY = EF, then XY + 7 = EF + 7 ________________________________
67. If CD = 4, then CD + 12 = 4 + 12 _________________________________
68. 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
69. 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˚
________________________