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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{A} \cong \angle{L}

  2. LM \cong AB

  3. \triangle ABC \cong \triangle LMC

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

  2. \triangle EFJ \cong \triangle HFG

  3. FJ \cong FG

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

  3. GC \cong MJ

  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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21.

Reason #5

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22.

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

  1. AD \cong CD

  2. AB \cong CB

  3. B is the midpoint of AC

  4. \triangle ABD \cong \triangle CBD

  5. DB \cong DB

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 \perp MP

  2. RO \cong RO

  3. MO \cong OP

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

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

  6. \triangle MRO \cong \triangle PRO

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{1} \cong \angle{2}

  2. AC \parallel BD

  3. \triangle ABD \cong \triangle DCA

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

  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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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. YO \cong AO

  2. O is the midpoint of ZX

  3. \triangle ZOA \cong \triangle XOY

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

  5. O is the midpoint of AY

  6. ZO \cong XO

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. AC \cong AC

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

  3. \triangle ABC \cong \triangle CDA

  4. AD \cong BC

  5. AB \perp BC

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

  7. AD \perp DC

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. SQ \cong VQ

  2. SV bisects RT

  3. TQ \cong RQ

  4. \triangle SQR \cong \triangle VQT

  5. RT bisects SV

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

  2. BE \parallel AD

  3. AC \cong EC

  4. \triangle ACD \cong \triangle ECB

  5. C is the midpoint of AE

  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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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. \triangle MNP \cong \triangle ONP

  2. PN bisects \angle{MNO}

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

  4. NP \cong NP

  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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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