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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. AD \cong AD

  2. AC \cong BD

  3. AB \cong CD

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

  5. \triangle ACD \cong \triangle DBA

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 \cong RT

  2. RT bisects \angle{SRE}

  3. \triangle SRT \cong \triangle ERT

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

  5. RS \cong RE

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

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

  3. WD bisects \angle{W}

  4. \triangle WGD \cong \triangle WKD

  5. GD \cong KD

  6. WD \cong WD

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

  2. RV \cong TV

  3. V is the midpoint of MX and RT

  4. MT \cong RX

  5. \triangle MTV \cong \triangle XRV

  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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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. OP \cong MN

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

  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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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. 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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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. AB \perp BC, AD \perp DC

  2. AD \cong BC

  3. AC \cong AC

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

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

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

  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. \triangle GFH \cong \triangle KJH

  2. H is the midpoint of FJ

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

  4. GF \cong JK

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

  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