Exercise 2: Concepts

Take this exercise quiz and learn some essential concepts in geometry

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Views #: 1366
Questions #: 12
Time: 10 minutes
Pass Score: 80.0%
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Given two points (say, M an N), how many different lines pass through two points?

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In general, two different points determine exactly one ________

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From the below figure, name \(\overrightarrow{NM}\) in another way

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From the below figure, do \(\overrightarrow{MN}\) and \(\overrightarrow{NM}\) name the same ray?

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Consider the acute angle shown below

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  1. Name the ray representing the top side of the angle (1)
  2. Name the ray representing the bottom side of the angle (2)
  3. What point is the vertex of the angle? (3)
  4. The angle can be named as ∠RST and ∠TSR, what are the two possible names
    1. Name by a number (4)
    2. Name by a letter (5)
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\(\overrightarrow{SR}\)
\(\overrightarrow{ST}\)
S
R
T
∠1
∠S
∠R
∠T
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Match each angle with the given measures

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  1. (1)  
  2. (2)  
  3. (3) 
  4. (4)  
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80o
160o
45o
20o
190o
100o
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Assign the correct type of angle to the below angles

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  1. (1) 
  2. (2) 
  3. (3) 
  4. (4) 
  5. (5) 
  6. (6) 
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obtuse angle
acute angle
straight angle
right angle
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Fill in the blanks with the correct symbol

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  1. If m(AB) (1) m(CD), then AB (2) CD
  2.  If ∠ABC (3) ∠DEF, then m(∠ABC) (4) m(∠DEF)
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=
≅
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The vertical angle property; Vertical angles are

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Refer to the figure below. fill in the blanks

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  1. ∠XYZ and ∠VYW are (1) angles
  2. ∠XYZ and ∠ZYW are (2) angles
  3. ∠ZYW and ∠XYV are (3) angles
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Refer to the figure below and tell whether each statement is true

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  1. (1) ∠AGF and ∠BGC are vertical angles
  2. (2) ∠FGE and ∠BGA are adjacent angles
  3. (3) m(∠AGB) = m(∠BGC)
  4. (4) ∠AGC ≅ ∠DGF
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true
false
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Refer to the figure below and tell whether each statement is true

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  1. (1) ∠1 and ∠2 are congruent
  2. (2) ∠FGB and ∠CGE are congruent
  3. (3) ∠AGF and ∠FGE are congruent
  4. (4) ∠CGD and ∠CGB are congruent
  5. (5) ∠1 and ∠CGD are adjacent angles
  6. (6) ∠FGA and ∠AGC are supplementary
  7. (7) ∠AGB and ∠BGC are complementary
  8. (8) ∠AGF and ∠2 are complementary
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true
false
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Year 7