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

  2. DB \cong DB

  3. AD \parallel CB

  4. \triangle ABD \cong \triangle CDB

  5. AD \cong 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. 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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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. YW \cong YW

  5. Y is the midpoint of UX

  6. WY \perp 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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15.

Reason #3

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20.

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

  1. AB \cong AD

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

  3. CA \cong CA

  4. \triangle ABC \cong \triangle ADC

  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. MN \cong QP

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

  3. \triangle QMN \cong \triangle NPQ

  4. NQ \cong NQ

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

  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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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. JK \perp JM, MN \perp JM

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

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

  5. KL \cong NL

  6. JK \cong MN

  7. L is the midpoint of KN

  8. \triangle KJL \cong \triangle NML

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{B} \cong \angle{D}

  2. AC \cong AC

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

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

  5. \triangle ADC \cong \triangle CBA

  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{W} \cong \angle{Y}

  2. WV \cong VY

  3. V is the midpoint of WY

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

  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