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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. \triangle ACD \cong \triangle DBA

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

  3. AD \cong AD

  4. AB \cong CD

  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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Reason #5

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7.

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

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

  2. \triangle SRT \cong \triangle ERT

  3. RS \cong RE

  4. RT bisects \angle{SRE}

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

  6. RT \cong RT

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

  3. WD bisects \angle{D}

  4. GD \cong KD

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

  6. WD \cong WD

  7. \triangle WGD \cong \triangle WKD

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. RV \cong TV

  3. MV \cong XV

  4. \triangle MTV \cong \triangle XRV

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

  6. MT \cong RX

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. MO \cong MO

  3. OP \cong MN

  4. MP \cong ON

  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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Reason #4

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Reason #5

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35.

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

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

  2. \triangle RUS \cong \triangle TSU

  3. US \cong US

  4. UT \cong SR

  5. RU \cong TS

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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37.

Reason #2

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Reason #3

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Reason #4

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40.

Reason #5

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41.

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

  1. \triangle ABD \cong \triangle DCA

  2. AC \cong AC

  3. AD \cong BC

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

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

  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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44.

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

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

  4. GF \cong JK

  5. \triangle GFH \cong \triangle KJH

  6. FH \cong HJ

  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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12.

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 #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