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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. YW \cong YW

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

  3. WY \perp UX

  4. Y is the midpoint of UX

  5. \triangle WUY \cong \triangle WXY

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

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

  2. AB \cong AD

  3. CA \cong CA

  4. AC bisects \angle{BAD}

  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. MN \cong QP

  2. MQ \perp MN, NP \perp PQ

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

  4. NQ \cong NQ

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

  6. \triangle QMN \cong \triangle NPQ

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. L is the midpoint of KN

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

  3. JK \perp JM, MN \perp JM

  4. JK \cong MN

  5. KL \cong NL

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

  7. \triangle KJL \cong \triangle NML

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

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

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

  4. \triangle ADC \cong \triangle CBA

  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. \triangle WXV \cong \triangle YZV

  2. V is the midpoint of WY

  3. WV \cong VY

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

  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