Exercise 5: Practice it yourself

More questions about the main fundamentals in geometry
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Questions #: 7
Time: 10 minutes
Pass Score: 80.0%
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Refer to the below figure and tell whether each statement is true

 

  1. \(\overrightarrow{GF}\) has point G as its endpoint.
  2. \(\overline{AG}\) has no endpoint.
  3. \(\overleftrightarrow{CD}\) has three endpoints.
  4. Point D is the vertex of ∠DGB.
  5. m(∠AGC) = m(∠BGD)
  6. ∠AGF ≅ ∠BGE
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True
False
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Correct Answer

Explanation

Tell whether each angle is an acute angle, a right angle, an obtuse angle, or a straight angle

 

  1. (1) transparent ∠AGC
  2. (2) transparent ∠FGD
  3. (3) transparent ∠EGA
  4. (4) transparent ∠BGA
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acute
right
obtuse
straight
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Correct Answer

Explanation

Find the measure of the below angles or their sums

Refer to the figure in which m(∠1) = 50o. Find the measure of each angle or sum of angles.

  1. ∠3
  2. ∠4
  3. m(∠1) + m(∠2) + m(∠3)
  4. m(∠2) + m(∠4)
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Correct Answer

Explanation

Find the measure of each angle

Refer to the figure in which m(∠1) + m(∠3) + m(∠4) = 180o, ∠3 ≅ ∠4, and ∠4 ≅ ∠5.  Find the measure of each angle

  1. m(∠1) =
  2. m(∠2) =
  3. m(∠3) =
  4. m(∠6) =
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Correct Answer

Explanation

Find complement and supplement of angles

Refer to the figure below where ∠1 ≅ ∠ACD, ∠1 ≅ ∠2, and ∠BAC ≅ ∠2.

  1. What is the complement of ∠BAC?
  2. What is the supplement of ∠BAC?
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Correct Answer

Explanation

Find the measures of the following angles

Refer to the figure where ∠EBS ≅ ∠FEB

  1. What is the measure of ∠AET?
  2. What is the measure of ∠AEF?
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Correct Answer

Explanation

Find the measures of the following

  1. Find the supplement of the complement of a 51o angle.
  2. Find the complement of the supplement of a 173o angle.
  3. Find the complement of the complement of a 1o angle.
  4. Find the supplement of the supplement of a 6o angle
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Correct Answer

Explanation

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