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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. \triangle ABD \cong \triangle CBD

  2. BD \cong BD

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

  4. AB \cong CB

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. \triangle ABC \cong \triangle LMC

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

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

  2. FJ \cong FG

  3. EF \cong HF

  4. \triangle EFJ \cong \triangle HFG

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 \cong MJ

  2. \triangle GCM \cong \triangle MJG

  3. GC \parallel MJ

  4. GM \cong GM

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

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. B is the midpoint of AC

  2. AD \cong CD

  3. AB \cong CB

  4. \triangle ABD \cong \triangle CBD

  5. DB \cong DB

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. RO \perp MP

  2. \triangle MRO \cong \triangle PRO

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

  4. RO \cong RO

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

  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. AC \parallel BD

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

  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. O is the midpoint of ZX

  2. \triangle ZOA \cong \triangle XOY

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

  4. O is the midpoint of AY

  5. YO \cong AO

  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. AB \perp BC

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

  4. AD \perp DC

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

  6. AD \cong BC

  7. AC \cong AC

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. RT bisects SV

  3. \triangle SQR \cong \triangle VQT

  4. TQ \cong RQ

  5. SV bisects RT

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

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

  4. C is the midpoint of AE

  5. AC \cong EC

  6. BE \parallel AD

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

  2. \triangle MNP \cong \triangle ONP

  3. PN bisects \angle{MNO}

  4. NP \cong NP

  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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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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Reason #6

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75.

Reason #5