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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{1} \cong \angle{2}

  2. LM \cong AB

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

  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. GC \cong MJ

  2. GM \cong GM

  3. \triangle GCM \cong \triangle MJG

  4. GC \parallel 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. \triangle ABD \cong \triangle CBD

  2. B is the midpoint of AC

  3. DB \cong DB

  4. AB \cong CB

  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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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. \triangle MRO \cong \triangle PRO

  3. RO \perp MP

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

  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. AD \cong AD

  2. AC \parallel BD

  3. \triangle ABD \cong \triangle DCA

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

  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. \triangle ZOA \cong \triangle XOY

  2. ZO \cong XO

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

  4. O is the midpoint of AY

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

  2. AD \cong BC

  3. AB \perp BC

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

  5. AD \perp DC

  6. AC \cong AC

  7. \triangle ABC \cong \triangle CDA

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

  3. RT bisects SV

  4. TQ \cong RQ

  5. SQ \cong VQ

  6. SV bisects RT

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. BE \parallel AD

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

  3. \triangle ACD \cong \triangle ECB

  4. C is the midpoint of AE

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

  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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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. MN \cong NO

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

  3. PN bisects \angle{MNO}

  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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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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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