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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. AB \cong CB

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

  3. BD \cong BD

  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. 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. \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. \triangle GCM \cong \triangle MJG

  3. GM \cong GM

  4. GC \cong MJ

  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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21.

Reason #5

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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. \triangle ABD \cong \triangle CBD

  4. DB \cong DB

  5. AD \cong CD

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

  3. RO \cong RO

  4. MO \cong OP

  5. \triangle MRO \cong \triangle PRO

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

  2. AC \parallel BD

  3. \triangle ABD \cong \triangle DCA

  4. AD \cong AD

  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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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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40.

Reason #5

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41.

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

  1. ZO \cong XO

  2. \triangle ZOA \cong \triangle XOY

  3. YO \cong AO

  4. O is the midpoint of AY

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

  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. AD \perp DC

  2. AB \perp BC

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

  4. \triangle ABC \cong \triangle CDA

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

  6. AC \cong AC

  7. AD \cong 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. TQ \cong RQ

  2. RT bisects SV

  3. SV bisects RT

  4. \triangle SQR \cong \triangle VQT

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

  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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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. AC \cong EC

  3. BE \parallel AD

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

  5. C is the midpoint of AE

  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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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. \triangle MNP \cong \triangle ONP

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

  5. NP \cong NP

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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34.

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