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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. AD \cong CB

  2. \triangle ABD \cong \triangle CDB

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

  4. AD \parallel CB

  5. DB \cong DB

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{1} \cong \angle{2}

  2. AB \cong DE

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

  4. \triangle ABC \cong \triangle CDE

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. WY \perp UX

  2. YW \cong YW

  3. \triangle WUY \cong \triangle WXY

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

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

  6. UY \cong XY

  7. Y is the midpoint of UX

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

  2. \triangle ABC \cong \triangle ADC

  3. AB \cong AD

  4. AC bisects \angle{BAD}

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

  2. MN \cong QP

  3. \triangle QMN \cong \triangle NPQ

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

  5. NQ \cong NQ

  6. MQ \perp MN, NP \perp PQ

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 \perp JM, MN \perp JM

  3. \triangle KJL \cong \triangle NML

  4. L is the midpoint of KN

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

  6. JK \cong MN

  7. KL \cong NL

  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. AC \cong AC

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

  3. \triangle ADC \cong \triangle CBA

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

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

  6. AB \parallel DC

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

  2. \triangle WXV \cong \triangle YZV

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

  4. WV \cong VY

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

  6. V is the midpoint of WY

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 #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