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Laabri

5.4 Worksheet

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Last updated about 4 years ago
75 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. BD \cong BD

  2. \triangle ABD \cong \triangle CBD

  3. AB \cong CB

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

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.

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

  1. \angle{A} \cong \angle{L}

  2. LM \cong AB

  3. \triangle ABC \cong \triangle LMC

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

Using the correct order of the proof completed above, state the reasons for each step.

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7.

Reason #1

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8.

Reason #2

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9.

Reason #3

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10.

Reason #4

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11.

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

  1. \triangle EFJ \cong \triangle HFG

  2. FJ \cong FG

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

  4. EF \cong HF

Using the correct order of the proof completed above, state the reasons for each step.

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12.

Reason #1

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13.

Reason #2

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14.

Reason #3

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15.

Reason #4

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16.

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

  1. GC \parallel MJ

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

  3. GC \cong MJ

  4. GM \cong GM

  5. \triangle GCM \cong \triangle MJG

Using the correct order of the proof completed above, state the reasons for each step.

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17.

Reason #1

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18.

Reason #2

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19.

Reason #3

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20.

Reason #4

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22.

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

  1. AB \cong CB

  2. B is the midpoint of AC

  3. DB \cong DB

  4. AD \cong CD

  5. \triangle ABD \cong \triangle CBD

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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28.

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

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

  2. RO \cong RO

  3. \angle{3} and \angle{4} are right angles

  4. \triangle MRO \cong \triangle PRO

  5. RO \perp MP

  6. MO \cong OP

Using the correct order of the proof completed above, state the reasons for each step.

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29.

Reason #1

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30.

Reason #2

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31.

Reason #3

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32.

Reason #4

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35.

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

  1. AC \parallel BD

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

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

  4. AD \cong AD

  5. \triangle ABD \cong \triangle DCA

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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38.

Reason #3

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39.

Reason #4

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41.

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

  1. YO \cong AO

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

  3. \triangle ZOA \cong \triangle XOY

  4. O is the midpoint of AY

  5. O is the midpoint of ZX

  6. ZO \cong XO

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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45.

Reason #4

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48.

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

  1. \triangle ABC \cong \triangle CDA

  2. AC \cong AC

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

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

  5. AD \perp DC

  6. AD \cong BC

  7. AB \perp BC

Using the correct order of the proof completed above, state the reasons for each step.

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49.

Reason #1

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50.

Reason #2

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51.

Reason #3

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56.

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

  1. RT bisects SV

  2. SV bisects RT

  3. SQ \cong VQ

  4. TQ \cong RQ

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

  6. \triangle SQR \cong \triangle VQT

Using the correct order of the proof completed above, state the reasons for each step.

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57.

Reason #1

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58.

Reason #2

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59.

Reason #3

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60.

Reason #4

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63.

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

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

  2. BE \parallel AD

  3. AC \cong EC

  4. C is the midpoint of AE

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

  6. \triangle ACD \cong \triangle ECB

Using the correct order of the proof completed above, state the reasons for each step.

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64.

Reason #1

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65.

Reason #2

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Reason #3

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67.

Reason #4

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70.

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

  1. NP \cong NP

  2. MN \cong NO

  3. \triangle MNP \cong \triangle ONP

  4. PN bisects \angle{MNO}

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

Using the correct order of the proof completed above, state the reasons for each step.

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71.

Reason #1

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72.

Reason #2

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73.

Reason #3

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74.

Reason #4

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Reason #5

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Reason #5

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Reason #5

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Reason #6

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40.

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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55.

Reason #7

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Reason #5

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Reason #6

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68.

Reason #5

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69.

Reason #6

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75.

Reason #5