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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. AD \cong AD

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

  3. AB \cong CD

  4. \triangle ACD \cong \triangle DBA

  5. AC \cong BD

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. RS \cong RE

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

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

  5. RT \cong RT

  6. \triangle SRT \cong \triangle ERT

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 bisects \angle{W}

  2. GD \cong KD

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

  4. \triangle WGD \cong \triangle WKD

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

  6. WD \cong WD

  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. MT \cong RX

  2. RV \cong TV

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

  4. \triangle MTV \cong \triangle XRV

  5. MV \cong XV

  6. V is the midpoint of MX and RT

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. OP \cong MN

  2. \triangle MNO \cong \triangle OPM

  3. MP \cong ON

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

  5. MO \cong MO

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. \triangle RUS \cong \triangle TSU

  2. RU \cong TS

  3. US \cong US

  4. UT \cong SR

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

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

  3. AB \perp BC, AD \perp DC

  4. AC \cong AC

  5. \triangle ABD \cong \triangle DCA

  6. AD \cong BC

  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. \triangle GFH \cong \triangle KJH

  2. H is the midpoint of FJ

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

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

  5. FH \cong HJ

  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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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