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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. AB \cong CD

  4. AC \cong BD

  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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Reason #5

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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. RS \cong RE

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

  5. RT \cong RT

  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. GD \cong KD

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

  3. WD \cong WD

  4. \triangle WGD \cong \triangle WKD

  5. WD bisects \angle{W}

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

  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. V is the midpoint of MX and RT

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

  4. \triangle MTV \cong \triangle XRV

  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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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. MP \cong ON

  2. MO \cong MO

  3. \triangle MNO \cong \triangle OPM

  4. OP \cong MN

  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. UT \cong SR

  2. US \cong US

  3. \triangle RUS \cong \triangle TSU

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

  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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Reason #5

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41.

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

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

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

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

  4. AC \cong AC

  5. \triangle ABD \cong \triangle DCA

  6. AD \cong BC

  7. AB \perp BC, AD \perp DC

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

  2. H is the midpoint of FJ

  3. \triangle GFH \cong \triangle KJH

  4. FH \cong HJ

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

  6. GF \parallel JK

  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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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