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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. AB \cong CD
  2. \angle{B} \cong \angle{C}
  3. AD \cong AD
  4. AC \cong BD
  5. \triangle ACD \cong \triangle DBA
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. RS \cong RE
  2. RT bisects \angle{SRE}
  3. \angle{1} \cong \angle{2}
  4. RT \cong RT
  5. \triangle SRT \cong \triangle ERT
  6. \angle{S} \cong \angle{E}
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 bisects \angle{D}
  2. WD \cong WD
  3. \angle{3} \cong \angle{4}
  4. GD \cong KD
  5. WD bisects \angle{W}
  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. \triangle MTV \cong \triangle XRV
  2. RV \cong TV
  3. V is the midpoint of MX and RT
  4. MV \cong XV
  5. \angle{1} \cong \angle{2}
  6. MT \cong RX
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. OP \cong MN
  2. \angle{N} \cong \angle{P}
  3. \triangle MNO \cong \triangle OPM
  4. MP \cong ON
  5. MO \cong MO
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{1} \cong \angle{4}
  2. \triangle RUS \cong \triangle TSU
  3. US \cong US
  4. UT \cong SR
  5. RU \cong TS
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. AD \cong BC
  2. \triangle ABD \cong \triangle DCA
  3. \angle{1} \cong \angle{2}
  4. AC \cong AC
  5. AB \perp BC, AD \perp DC
  6. \angle{B} and \angle{D} are right angles
  7. \angle{B} \cong \angle{D}
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. \triangle GFH \cong \triangle KJH
  2. \angle{1} \cong \angle{2}
  3. GF \parallel JK
  4. GF \cong JK
  5. \angle{G} \cong \angle{K}
  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