Chapter 5 Review - Proofs

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55 questions
Every proof in this review is displayed in two different sections. In the first section, reorder the statements in the correct order. In the second section, using the correct order from the first section, determine each reason associated with each correct statement.
1

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

  1. \triangle ABD \cong \triangle CDB
  2. \angle{1} \cong \angle{4}
  3. AD \parallel CB
  4. DB \cong DB
  5. AD \cong CB
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

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

  1. AB \cong DE
  2. \triangle ABC \cong \triangle CDE
  3. \angle{B} \cong \angle{E}
  4. \angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

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

  1. WY \perp UX
  2. \angle{1} and \angle{2} are right angles
  3. \triangle WUY \cong \triangle WXY
  4. Y is the midpoint of UX
  5. \angle{1} \cong \angle{2}
  6. YW \cong YW
  7. UY \cong XY
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

Reason #7

1

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

  1. AC bisects \angle{BAD}
  2. CA \cong CA
  3. AB \cong AD
  4. \angle{1} \cong \angle{2}
  5. \triangle ABC \cong \triangle ADC
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

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

  1. \angle{M} \cong \angle{P}
  2. \triangle QMN \cong \triangle NPQ
  3. NQ \cong NQ
  4. MN \cong QP
  5. \angle{M} and \angle{P} are right angles
  6. MQ \perp MN, NP \perp PQ
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

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

  1. \angle{J} \cong \angle{M}
  2. JK \perp JM, MN \perp JM
  3. JK \cong MN
  4. \triangle KJL \cong \triangle NML
  5. KL \cong NL
  6. \angle{1} \cong \angle{2}
  7. \angle{J} and \angle{M} are right angles
  8. L is the midpoint of KN
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

Reason #7

1

Reason #8

1

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

  1. \triangle ADC \cong \triangle CBA
  2. \angle{DAC} \cong \angle{BCA}
  3. AC \cong AC
  4. \angle{B} \cong \angle{D}
  5. AB \parallel DC
  6. \angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

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

  1. \angle{W} \cong \angle{Y}
  2. \angle{1} \cong \angle{2}
  3. \triangle WXV \cong \triangle YZV
  4. WV \cong VY
  5. \angle{X} \cong \angle{Z}
  6. V is the midpoint of WY
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6