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Chapter 5 Review - Proofs

Last updated over 3 years ago
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. AD \cong CB
  3. DB \cong DB
  4. AD \parallel CB
  5. \angle{1} \cong \angle{4}
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. \triangle ABC \cong \triangle CDE
  2. AB \cong DE
  3. \angle{1} \cong \angle{2}
  4. \angle{B} \cong \angle{E}
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. \angle{1} and \angle{2} are right angles
  2. \angle{1} \cong \angle{2}
  3. \triangle WUY \cong \triangle WXY
  4. Y is the midpoint of UX
  5. YW \cong YW
  6. UY \cong XY
  7. WY \perp UX
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. CA \cong CA
  2. \triangle ABC \cong \triangle ADC
  3. AC bisects \angle{BAD}
  4. AB \cong AD
  5. \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

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

  1. MQ \perp MN, NP \perp PQ
  2. \angle{M} and \angle{P} are right angles
  3. \angle{M} \cong \angle{P}
  4. MN \cong QP
  5. NQ \cong NQ
  6. \triangle QMN \cong \triangle NPQ
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} and \angle{M} are right angles
  2. JK \perp JM, MN \perp JM
  3. \triangle KJL \cong \triangle NML
  4. \angle{J} \cong \angle{M}
  5. KL \cong NL
  6. \angle{1} \cong \angle{2}
  7. L is the midpoint of KN
  8. JK \cong MN
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. AC \cong AC
  3. \angle{B} \cong \angle{D}
  4. AB \parallel DC
  5. \angle{1} \cong \angle{2}
  6. \angle{DAC} \cong \angle{BCA}
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. \triangle WXV \cong \triangle YZV
  2. V is the midpoint of WY
  3. \angle{1} \cong \angle{2}
  4. WV \cong VY
  5. \angle{W} \cong \angle{Y}
  6. \angle{X} \cong \angle{Z}
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