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

  3. AD \cong CB

  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. AB \cong DE

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

  3. \triangle ABC \cong \triangle CDE

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

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} \cong \angle{2}

  2. \triangle WUY \cong \triangle WXY

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

  4. Y is the midpoint of UX

  5. YW \cong YW

  6. UY \cong XY

  7. WY \perp 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. AB \cong AD

  3. \triangle ABC \cong \triangle ADC

  4. CA \cong CA

  5. AC bisects \angle{BAD}

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. NQ \cong NQ

  2. \triangle QMN \cong \triangle NPQ

  3. MN \cong QP

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

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

  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. JK \cong MN

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

  3. JK \perp JM, MN \perp JM

  4. \triangle KJL \cong \triangle NML

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

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

  7. KL \cong NL

  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. AC \cong AC

  2. AB \parallel DC

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

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

  5. \triangle ADC \cong \triangle CBA

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

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

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

  4. V is the midpoint of WY

  5. \triangle WXV \cong \triangle YZV

  6. WV \cong VY

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