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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. AB \cong CD

  2. AC \cong BD

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

  4. AD \cong AD

  5. \triangle ACD \cong \triangle DBA

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. RT bisects \angle{SRE}

  2. \triangle SRT \cong \triangle ERT

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

  4. RT \cong RT

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

  6. RS \cong RE

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

  2. WD bisects \angle{W}

  3. GD \cong KD

  4. WD \cong WD

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

  6. \triangle WGD \cong \triangle WKD

  7. WD bisects \angle{D}

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. MV \cong XV

  2. RV \cong TV

  3. V is the midpoint of MX and RT

  4. \triangle MTV \cong \triangle XRV

  5. MT \cong RX

  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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23.

Reason #1

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24.

Reason #2

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25.

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. \triangle MNO \cong \triangle OPM

  2. OP \cong MN

  3. MO \cong MO

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

  5. MP \cong ON

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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32.

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. UT \cong SR

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

  3. \triangle RUS \cong \triangle TSU

  4. RU \cong TS

  5. US \cong US

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

  2. AC \cong AC

  3. AB \perp BC, AD \perp DC

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

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

  6. AD \cong BC

  7. \triangle ABD \cong \triangle DCA

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. \triangle GFH \cong \triangle KJH

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

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

  4. FH \cong HJ

  5. H is the midpoint of FJ

  6. GF \cong JK

  7. GF \parallel 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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52.

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