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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. \triangle ABD \cong \triangle CBD

  3. BD \cong BD

  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. LM \cong AB

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

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

  4. \triangle ABC \cong \triangle LMC

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. EF \cong HF

  2. FJ \cong FG

  3. \triangle EFJ \cong \triangle HFG

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

  2. GM \cong GM

  3. \triangle GCM \cong \triangle MJG

  4. GC \cong MJ

  5. GC \parallel MJ

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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21.

Reason #5

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22.

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

  1. \triangle ABD \cong \triangle CBD

  2. AB \cong CB

  3. AD \cong CD

  4. B is the midpoint of AC

  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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27.

Reason #5

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28.

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

  1. RO \cong RO

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

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

  4. MO \cong OP

  5. \triangle MRO \cong \triangle PRO

  6. RO \perp MP

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. \triangle ABD \cong \triangle DCA

  3. AD \cong AD

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

  5. AC \parallel BD

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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Reason #4

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Reason #5

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41.

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

  1. \triangle ZOA \cong \triangle XOY

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

  3. O is the midpoint of AY

  4. ZO \cong XO

  5. YO \cong AO

  6. O is the midpoint of ZX

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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45.

Reason #4

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48.

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

  1. AC \cong AC

  2. AB \perp BC

  3. AD \cong BC

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

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

  6. \triangle ABC \cong \triangle CDA

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

  2. TQ \cong RQ

  3. SQ \cong VQ

  4. \triangle SQR \cong \triangle VQT

  5. SV bisects RT

  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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60.

Reason #4

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63.

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

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

  2. AC \cong EC

  3. \triangle ACD \cong \triangle ECB

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

  5. C is the midpoint of AE

  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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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. PN bisects \angle{MNO}

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

  5. \triangle MNP \cong \triangle ONP

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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Reason #3

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Reason #4

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75.

Reason #5

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33.

Reason #5

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Reason #6

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Reason #5

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47.

Reason #6

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52.

Reason #4

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53.

Reason #5

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Reason #6

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Reason #7

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Reason #5

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62.

Reason #6

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Reason #5

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69.

Reason #6