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

  3. \triangle ABD \cong \triangle CDB

  4. DB \cong DB

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

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

  3. YW \cong YW

  4. UY \cong XY

  5. Y is the midpoint of UX

  6. WY \perp UX

  7. \triangle WUY \cong \triangle WXY

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. CA \cong CA

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

  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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Reason #5

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26.

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

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

  2. MN \cong QP

  3. NQ \cong NQ

  4. MQ \perp MN, NP \perp PQ

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

  6. \triangle QMN \cong \triangle NPQ

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. JK \perp JM, MN \perp JM

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

  3. \triangle KJL \cong \triangle NML

  4. KL \cong NL

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

  6. JK \cong MN

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

  8. L is the midpoint of KN

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

  2. AB \parallel DC

  3. \triangle ADC \cong \triangle CBA

  4. AC \cong AC

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

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

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{1} \cong \angle{2}

  3. V is the midpoint of WY

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

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

  6. \triangle WXV \cong \triangle YZV

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