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

  2. BD \cong BD

  3. AB \cong CB

  4. \triangle ABD \cong \triangle CBD

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{1} \cong \angle{2}

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

  3. \triangle ABC \cong \triangle LMC

  4. LM \cong AB

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. FJ \cong FG

  2. \triangle EFJ \cong \triangle HFG

  3. EF \cong HF

  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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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. \triangle GCM \cong \triangle MJG

  2. GC \parallel MJ

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

  4. GC \cong MJ

  5. GM \cong GM

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. AD \cong CD

  2. AB \cong CB

  3. DB \cong DB

  4. B is the midpoint of AC

  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 \perp MP

  3. \triangle MRO \cong \triangle PRO

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

  5. RO \cong RO

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

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

  3. AD \cong AD

  4. AC \parallel BD

  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. O is the midpoint of AY

  3. ZO \cong XO

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

  5. O is the midpoint of ZX

  6. \triangle ZOA \cong \triangle XOY

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. AB \perp BC

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

  3. AD \cong BC

  4. \triangle ABC \cong \triangle CDA

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

  6. AC \cong AC

  7. AD \perp DC

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. SQ \cong VQ

  2. TQ \cong RQ

  3. SV bisects RT

  4. \triangle SQR \cong \triangle VQT

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

  6. RT bisects SV

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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Reason #3

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Reason #4

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63.

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

  1. \triangle ACD \cong \triangle ECB

  2. BE \parallel AD

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

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

  5. C is the midpoint of AE

  6. AC \cong EC

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. PN bisects \angle{MNO}

  3. \triangle MNP \cong \triangle ONP

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

  5. MN \cong NO

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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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