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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. AB \cong CD

  3. \triangle ACD \cong \triangle DBA

  4. AD \cong AD

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

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. RS \cong RE

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

  3. RT \cong RT

  4. \triangle SRT \cong \triangle ERT

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

  6. RT bisects \angle{SRE}

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{D}

  2. WD bisects \angle{W}

  3. GD \cong KD

  4. WD \cong WD

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

  6. \triangle WGD \cong \triangle WKD

  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. \triangle MTV \cong \triangle XRV

  2. V is the midpoint of MX and RT

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

  4. MT \cong RX

  5. MV \cong XV

  6. RV \cong TV

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. \triangle MNO \cong \triangle OPM

  2. OP \cong MN

  3. MP \cong ON

  4. MO \cong MO

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

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. US \cong US

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

  3. UT \cong SR

  4. RU \cong TS

  5. \triangle RUS \cong \triangle TSU

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

  3. AC \cong AC

  4. \triangle ABD \cong \triangle DCA

  5. AB \perp BC, AD \perp DC

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

  7. AD \cong BC

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. GF \cong JK

  2. FH \cong HJ

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

  4. H is the midpoint of FJ

  5. GF \parallel JK

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

  7. \triangle GFH \cong \triangle KJH

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