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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. BD \cong BD

  2. AB \cong CB

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

  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. \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. EF \cong HF

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

  4. \triangle EFJ \cong \triangle HFG

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. GC \parallel MJ

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

  4. GM \cong GM

  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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22.

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

  1. AD \cong CD

  2. B is the midpoint of AC

  3. DB \cong DB

  4. \triangle ABD \cong \triangle CBD

  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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28.

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

  1. RO \perp MP

  2. RO \cong RO

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

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

  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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30.

Reason #2

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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{C} \cong \angle{B}

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

  4. AC \parallel BD

  5. AD \cong AD

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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39.

Reason #4

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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. O is the midpoint of ZX

  4. YO \cong AO

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

  6. O is the midpoint of AY

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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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. \triangle ABC \cong \triangle CDA

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

  3. AB \perp BC

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

  5. AC \cong AC

  6. AD \perp DC

  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. RT bisects SV

  2. \triangle SQR \cong \triangle VQT

  3. TQ \cong RQ

  4. SV bisects RT

  5. SQ \cong VQ

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

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. \triangle ACD \cong \triangle ECB

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

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

  5. AC \cong EC

  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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67.

Reason #4

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70.

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

  1. NP \cong NP

  2. PN bisects \angle{MNO}

  3. \triangle MNP \cong \triangle ONP

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

  5. MN \cong NO

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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73.

Reason #3

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Reason #4

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Reason #5

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Reason #5

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Reason #5

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Reason #6

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Reason #5

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Reason #5

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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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Reason #6

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Reason #5

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Reason #6

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75.

Reason #5