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Chapter 2 Review (Proofs)

Last updated over 3 years ago
59 questions
Complete the following proof:
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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Reason #7

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Reason #8

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Reason #9

Complete the following proof:
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Reason #3

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Reason #4

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Reason #5

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In the proof below, there are 3 errors. Correctly select each incorrect step and what that step should be.

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In the proof below, there are 3 errors. Correctly select each incorrect step and what that step should be.

Complete the proof below:
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Statement #1

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Reason #2

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Statement #3

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Reason #4

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Statement #5

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Reason #6

Complete the proof below:
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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Reason #7

In the proof below, first reorder the statements to complete the left side of the proof. Then, provide the reasons for each statement.
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Put the statements in the correct order to complete the proof.

  1. x = 3
  2. \overline{BC} \cong \overline{CD}
  3. AB = CD
  4. -2x + 1 = -5
  5. -2x = -6
  6. \overline{AB} \cong \overline{CD}
  7. 2x + 1 = 4x - 5
  8. \overline{AB} \cong \overline{BC}
Using the correct order of the proof completed above, state the reasons for each step.
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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

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Reason #7

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Reason #8

In the proof below, first reorder the statements to complete the left side of the proof. Then, provide the reasons for each statement.
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Put the statements in the correct order to complete the proof.

  1. 2(m\angle{1}) = m\angle{BAD}
  2. m\angle{1} = m\angle{2}
  3. \overrightarrow{AB} bisects \angle{BAD}
  4. m\angle{1} + m\angle{1} = m\angle{BAD}
  5. m\angle{1} + m\angle{2} = m\angle{BAD}
  6. m\angle{1} = \frac{1}{2}(m\angle{BAD})
Using the correct order of the proof completed above, state the reasons for each step.
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Reason #1

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Reason #2

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Reason #3

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Reason #4

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Reason #5

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Reason #6

In the proof below, first reorder the statements to complete the left side of the proof. Then, provide the reasons for each statement.
1

Put the statements in the correct order to complete the proof.

  1. 2r + 49 = 59
  2. r = 5
  3. 7(r + 7) = 5r + 59
  4. 2r = 10
  5. 7r + 49 = 5r + 59
Using the correct order of the proof completed above, state the reasons for each step.
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Reason #1

1

Reason #2

1

Reason #3

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Reason #4

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Reason #5

In the proof below, first reorder the statements to complete the left side of the proof. Then, provide the reasons for each statement.
1

Put the statements in the correct order to complete the proof.

  1. \frac{1}{2}(3x + 7) = 20
  2. x = 11
  3. 3x + 7 = 40
  4. 3x = 33
Using the correct order of the proof completed above, state the reasons for each step.
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Reason #1

1

Reason #2

1

Reason #3

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Reason #4

In the proof below, first reorder the statements to complete the left side of the proof. Then, provide the reasons for each statement.
1

Put the statements in the correct order to complete the proof.

  1. \angle{1} \cong \angle{2}
  2. \angle{3} \cong \angle{4}
  3. \angle{2} \cong \angle{3}
  4. \angle{1} \cong \angle{4}
Using the correct order of the proof completed above, state the reasons for each step.
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Reason #1

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Reason #2

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Reason #3

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Reason #4