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Laabri

Chapter 5 Review - Proofs

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55 Nsɛmmisa

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.

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1.

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

  1. \angle{1} \cong \angle{4}

  2. AD \cong CB

  3. DB \cong DB

  4. \triangle ABD \cong \triangle CDB

  5. AD \parallel CB

Using the correct order of the proof completed above, state the reasons for each step.

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2.

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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7.

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

  1. \angle{B} \cong \angle{E}

  2. AB \cong DE

  3. \triangle ABC \cong \triangle CDE

  4. \angle{1} \cong \angle{2}

Using the correct order of the proof completed above, state the reasons for each step.

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8.

Reason #1

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Reason #2

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Reason #3

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Reason #4

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12.

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

  1. Y is the midpoint of UX

  2. \angle{1} \cong \angle{2}

  3. \triangle WUY \cong \triangle WXY

  4. YW \cong YW

  5. UY \cong XY

  6. WY \perp UX

  7. \angle{1} and \angle{2} are right angles

Using the correct order of the proof completed above, state the reasons for each step.

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13.

Reason #1

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Reason #2

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15.

Reason #3

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20.

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

  1. AC bisects \angle{BAD}

  2. AB \cong AD

  3. \triangle ABC \cong \triangle ADC

  4. \angle{1} \cong \angle{2}

  5. CA \cong CA

Using the correct order of the proof completed above, state the reasons for each step.

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21.

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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26.

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

  1. \triangle QMN \cong \triangle NPQ

  2. \angle{M} and \angle{P} are right angles

  3. MQ \perp MN, NP \perp PQ

  4. MN \cong QP

  5. NQ \cong NQ

  6. \angle{M} \cong \angle{P}

Using the correct order of the proof completed above, state the reasons for each step.

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27.

Reason #1

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Reason #2

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Reason #3

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Reason #4

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33.

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

  1. \angle{J} \cong \angle{M}

  2. JK \cong MN

  3. JK \perp JM, MN \perp JM

  4. \triangle KJL \cong \triangle NML

  5. \angle{J} and \angle{M} are right angles

  6. KL \cong NL

  7. L is the midpoint of KN

  8. \angle{1} \cong \angle{2}

Using the correct order of the proof completed above, state the reasons for each step.

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34.

Reason #1

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35.

Reason #2

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42.

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

  1. \angle{B} \cong \angle{D}

  2. \triangle ADC \cong \triangle CBA

  3. \angle{1} \cong \angle{2}

  4. AC \cong AC

  5. AB \parallel DC

  6. \angle{DAC} \cong \angle{BCA}

Using the correct order of the proof completed above, state the reasons for each step.

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43.

Reason #1

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Reason #2

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Reason #3

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Reason #4

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49.

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

  1. WV \cong VY

  2. \angle{X} \cong \angle{Z}

  3. V is the midpoint of WY

  4. \triangle WXV \cong \triangle YZV

  5. \angle{1} \cong \angle{2}

  6. \angle{W} \cong \angle{Y}

Using the correct order of the proof completed above, state the reasons for each step.

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50.

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 #4

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Reason #5

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Reason #6

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Reason #7

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Reason #5

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Reason #6

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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 #5

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Reason #6

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Reason #5

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Reason #6