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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 \parallel CB

  4. DB \cong DB

  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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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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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. WY \perp UX

  5. \triangle WUY \cong \triangle WXY

  6. UY \cong XY

  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. CA \cong CA

  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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26.

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

  1. MQ \perp MN, NP \perp PQ

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

  3. \triangle QMN \cong \triangle NPQ

  4. NQ \cong NQ

  5. MN \cong QP

  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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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. \triangle KJL \cong \triangle NML

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

  4. JK \perp JM, MN \perp JM

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

  6. KL \cong NL

  7. L is the midpoint of KN

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

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. \triangle ADC \cong \triangle CBA

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

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

  4. AC \cong AC

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

  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. WV \cong VY

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

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

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

  5. V is the midpoint of WY

  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 #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