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