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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. DB \cong DB

  2. AD \cong CB

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

  4. AD \parallel CB

  5. \triangle ABD \cong \triangle CDB

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

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

  3. \triangle ABC \cong \triangle CDE

  4. AB \cong DE

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

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

  3. YW \cong YW

  4. \triangle WUY \cong \triangle WXY

  5. UY \cong XY

  6. WY \perp UX

  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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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. AB \cong AD

  4. CA \cong CA

  5. \triangle ABC \cong \triangle ADC

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. NQ \cong NQ

  2. \triangle QMN \cong \triangle NPQ

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

  4. MQ \perp MN, NP \perp PQ

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

  6. MN \cong QP

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. JK \cong MN

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

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

  4. JK \perp JM, MN \perp JM

  5. L is the midpoint of KN

  6. KL \cong NL

  7. \triangle KJL \cong \triangle NML

  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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Reason #2

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42.

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

  1. AB \parallel DC

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

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

  4. AC \cong AC

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

  6. \triangle ADC \cong \triangle CBA

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. \triangle WXV \cong \triangle YZV

  4. V is the midpoint of WY

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

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

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