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5.5 Worksheet

Last updated over 3 years ago
56 questions
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.
1

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

  1. AD \cong AD
  2. AB \cong CD
  3. \triangle ACD \cong \triangle DBA
  4. \angle{B} \cong \angle{C}
  5. AC \cong BD
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

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

  1. RT \cong RT
  2. RT bisects \angle{SRE}
  3. \angle{1} \cong \angle{2}
  4. \angle{S} \cong \angle{E}
  5. \triangle SRT \cong \triangle ERT
  6. RS \cong RE
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

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

  1. WD \cong WD
  2. WD bisects \angle{D}
  3. WD bisects \angle{W}
  4. GD \cong KD
  5. \angle{3} \cong \angle{4}
  6. \triangle WGD \cong \triangle WKD
  7. \angle{1} \cong \angle{2}
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

Reason #7

1

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

  1. RV \cong TV
  2. \triangle MTV \cong \triangle XRV
  3. MV \cong XV
  4. \angle{1} \cong \angle{2}
  5. MT \cong RX
  6. V is the midpoint of MX and RT
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

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

  1. \angle{N} \cong \angle{P}
  2. MP \cong ON
  3. OP \cong MN
  4. MO \cong MO
  5. \triangle MNO \cong \triangle OPM
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

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

  1. RU \cong TS
  2. UT \cong SR
  3. \angle{1} \cong \angle{4}
  4. US \cong US
  5. \triangle RUS \cong \triangle TSU
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

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

  1. \angle{B} and \angle{D} are right angles
  2. AD \cong BC
  3. AC \cong AC
  4. \angle{1} \cong \angle{2}
  5. \angle{B} \cong \angle{D}
  6. \triangle ABD \cong \triangle DCA
  7. AB \perp BC, AD \perp DC
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

Reason #7

1

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

  1. \angle{1} \cong \angle{2}
  2. GF \cong JK
  3. \triangle GFH \cong \triangle KJH
  4. \angle{G} \cong \angle{K}
  5. GF \parallel JK
  6. FH \cong HJ
  7. H is the midpoint of FJ
Using the correct order of the proof completed above, state the reasons for each step.
1

Reason #1

1

Reason #2

1

Reason #3

1

Reason #4

1

Reason #5

1

Reason #6

1

Reason #7