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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. DB \cong DB
  3. \angle{1} \cong \angle{4}
  4. AD \parallel CB
  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. \triangle WUY \cong \triangle WXY
  2. \angle{1} \cong \angle{2}
  3. Y is the midpoint of UX
  4. WY \perp UX
  5. UY \cong XY
  6. YW \cong YW
  7. \angle{1} and \angle{2} are right angles
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. \angle{1} \cong \angle{2}
  2. CA \cong CA
  3. AB \cong AD
  4. \triangle ABC \cong \triangle ADC
  5. AC bisects \angle{BAD}
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. NQ \cong NQ
  2. \angle{M} and \angle{P} are right angles
  3. \angle{M} \cong \angle{P}
  4. MN \cong QP
  5. \triangle QMN \cong \triangle NPQ
  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. KL \cong NL
  2. \triangle KJL \cong \triangle NML
  3. \angle{J} and \angle{M} are right angles
  4. \angle{1} \cong \angle{2}
  5. \angle{J} \cong \angle{M}
  6. L is the midpoint of KN
  7. JK \perp JM, MN \perp JM
  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. \angle{1} \cong \angle{2}
  2. AB \parallel DC
  3. \angle{DAC} \cong \angle{BCA}
  4. \angle{B} \cong \angle{D}
  5. \triangle ADC \cong \triangle CBA
  6. AC \cong AC
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{1} \cong \angle{2}
  2. \triangle WXV \cong \triangle YZV
  3. \angle{W} \cong \angle{Y}
  4. \angle{X} \cong \angle{Z}
  5. V is the midpoint of WY
  6. WV \cong VY
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