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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. \triangle ABD \cong \triangle CDB

  3. AD \parallel CB

  4. DB \cong DB

  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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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. Y is the midpoint of UX

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

  3. UY \cong XY

  4. \triangle WUY \cong \triangle WXY

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

  6. WY \perp UX

  7. YW \cong YW

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. CA \cong CA

  2. AB \cong AD

  3. \triangle ABC \cong \triangle ADC

  4. AC bisects \angle{BAD}

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

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. MN \cong QP

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

  4. \triangle QMN \cong \triangle NPQ

  5. MQ \perp MN, NP \perp PQ

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

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. KL \cong NL

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

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

  4. JK \cong MN

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

  6. \triangle KJL \cong \triangle NML

  7. JK \perp JM, MN \perp JM

  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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35.

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

  3. \triangle ADC \cong \triangle CBA

  4. AC \cong AC

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

  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{1} \cong \angle{2}

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

  3. WV \cong VY

  4. V is the midpoint of WY

  5. \triangle WXV \cong \triangle YZV

  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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50.

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