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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. \triangle ABD \cong \triangle CBD

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

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

  2. GC \cong MJ

  3. \triangle GCM \cong \triangle MJG

  4. GC \parallel MJ

  5. GM \cong GM

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. AD \cong CD

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

  2. RO \cong RO

  3. RO \perp MP

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

  5. \triangle MRO \cong \triangle PRO

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

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

  4. AD \cong AD

  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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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. O is the midpoint of AY

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

  5. O is the midpoint of ZX

  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. AD \cong BC

  2. AD \perp DC

  3. AB \perp BC

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

  5. AC \cong AC

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

  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. RT bisects SV

  2. TQ \cong RQ

  3. \triangle SQR \cong \triangle VQT

  4. SV bisects RT

  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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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. AC \cong EC

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

  4. C is the midpoint of AE

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

  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. NP \cong NP

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

  3. \triangle MNP \cong \triangle ONP

  4. MN \cong NO

  5. PN bisects \angle{MNO}

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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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