Exercise 2: Concepts

Take this exercise quiz and learn some essential concepts in geometry
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Questions #: 12
Time: 10 minutes
Pass Score: 80.0%
Style
Mode

Given two points (say, M an N), how many different lines pass through two points?

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Correct Answer

Explanation

In general, two different points determine exactly one ________

Missing
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Explanation

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

 

line_ray.jpg

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Explanation

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

 

line_ray.jpg

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Explanation

Consider the acute angle shown below

 

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

Match each angle with the given measures

  1. (1) transparent   
  2. (2) transparent   
  3. (3) transparent  
  4. (4) transparent   
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80o
160o
45o
20o
190o
100o
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Explanation

Assign the correct type of angle to the below angles

  1. (1) transparent  
  2. (2) transparent  
  3. (3) transparent  
  4. (4) transparent  
  5. (5) transparent  
  6. (6) transparent  
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obtuse angle
acute angle
straight angle
right angle
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Explanation

Fill in the blanks with the correct symbol

 

  1. If m(AB) (1) transparent m(CD), then AB (2) transparent CD
  2.  If ∠ABC (3) transparent DEF, then m(∠ABC) (4) transparent m(∠DEF)
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=
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Explanation

The vertical angle property; Vertical angles are

Missing
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Explanation

Refer to the figure below. fill in the blanks

 

  1. XYZ and ∠VYW are angles
  2. XYZ and ∠ZYW are angles
  3. ZYW and ∠XYV are angles
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Explanation

Refer to the figure below and tell whether each statement is true

 

  1. (1) transparent AGF and ∠BGC are vertical angles
  2. (2) transparent FGE and ∠BGA are adjacent angles
  3. (3) transparent m(∠AGB) = m(∠BGC)
  4. (4) transparent AGC ≅ ∠DGF
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true
false
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Correct Answer

Explanation

Refer to the figure below and tell whether each statement is true

 

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

Explanation

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sin cos tan
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y√x 3√x √x ln log
( ) 1/x % n!
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4 5 6 M+
1 2 3 × M-
0 . EXP ÷ MR
± RND C = MC

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