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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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Reason #5

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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. RT \cong RT

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

  5. \triangle SRT \cong \triangle ERT

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

  2. WD \cong WD

  3. \triangle WGD \cong \triangle WKD

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

  5. WD bisects \angle{D}

  6. GD \cong KD

  7. WD bisects \angle{W}

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

  2. V is the midpoint of MX and RT

  3. \triangle MTV \cong \triangle XRV

  4. MV \cong XV

  5. MT \cong RX

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

  2. OP \cong MN

  3. MO \cong MO

  4. MP \cong ON

  5. \triangle MNO \cong \triangle OPM

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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34.

Reason #5

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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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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. AD \cong BC

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

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

  4. AC \cong AC

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

  6. AB \perp BC, AD \perp DC

  7. \triangle ABD \cong \triangle DCA

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. GF \cong JK

  3. FH \cong HJ

  4. H is the midpoint of FJ

  5. \triangle GFH \cong \triangle KJH

  6. GF \parallel JK

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

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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45.

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