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

  3. AB \cong CB

  4. BD \cong BD

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. GC \cong MJ

  2. GM \cong GM

  3. GC \parallel MJ

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

  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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21.

Reason #5

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22.

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

  1. AD \cong CD

  2. \triangle ABD \cong \triangle CBD

  3. B is the midpoint of AC

  4. DB \cong DB

  5. AB \cong CB

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 \perp MP

  2. \triangle MRO \cong \triangle PRO

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

  4. MO \cong OP

  5. RO \cong RO

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

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. \triangle ABD \cong \triangle DCA

  2. AC \parallel BD

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

  4. AD \cong AD

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

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

  2. O is the midpoint of ZX

  3. ZO \cong XO

  4. O is the midpoint of AY

  5. \triangle ZOA \cong \triangle XOY

  6. YO \cong AO

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. AB \perp BC

  2. \triangle ABC \cong \triangle CDA

  3. AC \cong AC

  4. AD \perp DC

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

  6. AD \cong BC

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

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. \triangle SQR \cong \triangle VQT

  2. RT bisects SV

  3. SV bisects RT

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

  5. TQ \cong RQ

  6. SQ \cong VQ

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. C is the midpoint of AE

  2. AC \cong EC

  3. BE \parallel AD

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

  5. \triangle ACD \cong \triangle ECB

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

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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Reason #4

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70.

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

  1. PN bisects \angle{MNO}

  2. MN \cong NO

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

  4. NP \cong NP

  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