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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. AB \cong CD

  3. AD \cong AD

  4. AC \cong BD

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

  2. WD bisects \angle{D}

  3. GD \cong KD

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

  5. \triangle WGD \cong \triangle WKD

  6. WD bisects \angle{W}

  7. WD \cong WD

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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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. MV \cong XV

  5. V is the midpoint of MX and RT

  6. \triangle MTV \cong \triangle XRV

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. MP \cong ON

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

  4. \triangle MNO \cong \triangle OPM

  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. US \cong US

  2. \triangle RUS \cong \triangle TSU

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

  4. RU \cong TS

  5. UT \cong SR

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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Reason #4

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41.

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

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

  2. AC \cong AC

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

  4. AD \cong BC

  5. \triangle ABD \cong \triangle DCA

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

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

  3. \triangle GFH \cong \triangle KJH

  4. GF \parallel JK

  5. H is the midpoint of FJ

  6. FH \cong HJ

  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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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