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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. \triangle ABD \cong \triangle CDB

  2. DB \cong DB

  3. AD \parallel CB

  4. AD \cong CB

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

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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7.

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

  1. AB \cong DE

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

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

  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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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. \triangle WUY \cong \triangle WXY

  2. YW \cong YW

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

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

  5. WY \perp UX

  6. Y is the midpoint of UX

  7. UY \cong XY

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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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. AC bisects \angle{BAD}

  3. CA \cong CA

  4. \triangle ABC \cong \triangle ADC

  5. AB \cong AD

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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26.

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

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

  2. \triangle QMN \cong \triangle NPQ

  3. MQ \perp MN, NP \perp PQ

  4. MN \cong QP

  5. NQ \cong NQ

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

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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33.

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

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

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

  3. KL \cong NL

  4. L is the midpoint of KN

  5. JK \cong MN

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

  7. \triangle KJL \cong \triangle NML

  8. JK \perp JM, MN \perp JM

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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Reason #2

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42.

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

  1. \triangle ADC \cong \triangle CBA

  2. AB \parallel DC

  3. AC \cong AC

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

  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.

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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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49.

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

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

  2. \triangle WXV \cong \triangle YZV

  3. V is the midpoint of WY

  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.

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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 #5

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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 #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