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Laabri

5.5 Worksheet

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Last updated about 4 years ago
56 Nsɛmmisa

Every proof in this worksheet 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. AC \cong BD

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

  3. \triangle ACD \cong \triangle DBA

  4. AB \cong CD

  5. AD \cong AD

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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3.

Reason #2

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4.

Reason #3

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5.

Reason #4

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7.

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

  1. \triangle SRT \cong \triangle ERT

  2. RS \cong RE

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

  4. RT \cong RT

  5. RT bisects \angle{SRE}

  6. \angle{S} \cong \angle{E}

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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9.

Reason #2

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10.

Reason #3

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11.

Reason #4

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14.

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

  1. WD \cong WD

  2. WD bisects \angle{D}

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

  4. WD bisects \angle{W}

  5. \triangle WGD \cong \triangle WKD

  6. GD \cong KD

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

Using the correct order of the proof completed above, state the reasons for each step.

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15.

Reason #1

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16.

Reason #2

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17.

Reason #3

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22.

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

  1. V is the midpoint of MX and RT

  2. \triangle MTV \cong \triangle XRV

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

  4. MT \cong RX

  5. RV \cong TV

  6. MV \cong XV

Using the correct order of the proof completed above, state the reasons for each step.

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23.

Reason #1

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24.

Reason #2

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Reason #3

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26.

Reason #4

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29.

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

  1. MP \cong ON

  2. \triangle MNO \cong \triangle OPM

  3. MO \cong MO

  4. \angle{N} \cong \angle{P}

  5. OP \cong MN

Using the correct order of the proof completed above, state the reasons for each step.

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30.

Reason #1

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31.

Reason #2

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Reason #3

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33.

Reason #4

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35.

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

  1. RU \cong TS

  2. UT \cong SR

  3. US \cong US

  4. \triangle RUS \cong \triangle TSU

  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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36.

Reason #1

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Reason #2

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38.

Reason #3

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39.

Reason #4

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41.

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

  1. AD \cong BC

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

  3. AC \cong AC

  4. \triangle ABD \cong \triangle DCA

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

  6. AB \perp BC, AD \perp DC

  7. \angle{B} and \angle{D} are right angles

Using the correct order of the proof completed above, state the reasons for each step.

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42.

Reason #1

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43.

Reason #2

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Reason #3

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49.

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

  1. H is the midpoint of FJ

  2. GF \parallel JK

  3. FH \cong HJ

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

  5. \triangle GFH \cong \triangle KJH

  6. \angle{G} \cong \angle{K}

  7. GF \cong JK

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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51.

Reason #2

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Reason #3

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Reason #5

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Reason #5

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Reason #6

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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 #5

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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 #4

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Reason #5

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Reason #6

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Reason #7