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

  3. \triangle ACD \cong \triangle DBA

  4. AB \cong CD

  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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6.

Reason #5

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7.

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

  1. RT bisects \angle{SRE}

  2. RT \cong RT

  3. \triangle SRT \cong \triangle ERT

  4. RS \cong RE

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

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

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. GD \cong KD

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

  4. WD \cong WD

  5. WD bisects \angle{D}

  6. \triangle WGD \cong \triangle WKD

  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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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. \triangle MTV \cong \triangle XRV

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

  4. MV \cong XV

  5. RV \cong TV

  6. V is the midpoint of MX and RT

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. OP \cong MN

  2. \triangle MNO \cong \triangle OPM

  3. MP \cong ON

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

  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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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. RU \cong TS

  4. US \cong US

  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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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. AB \perp BC, AD \perp DC

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

  4. AC \cong AC

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

  6. \triangle ABD \cong \triangle DCA

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

  5. GF \parallel JK

  6. \triangle GFH \cong \triangle KJH

  7. H is the midpoint of FJ

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