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. \angle{B} \cong \angle{C}
  2. AC \cong BD
  3. AD \cong AD
  4. AB \cong CD
  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. RT \cong RT
  2. \angle{S} \cong \angle{E}
  3. \triangle SRT \cong \triangle ERT
  4. RS \cong RE
  5. RT bisects \angle{SRE}
  6. \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

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

  1. \angle{3} \cong \angle{4}
  2. \angle{1} \cong \angle{2}
  3. GD \cong KD
  4. WD bisects \angle{D}
  5. WD \cong WD
  6. \triangle WGD \cong \triangle WKD
  7. WD bisects \angle{W}
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. V is the midpoint of MX and RT
  2. MT \cong RX
  3. RV \cong TV
  4. MV \cong XV
  5. \triangle MTV \cong \triangle XRV
  6. \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

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

  1. \triangle MNO \cong \triangle OPM
  2. OP \cong MN
  3. MP \cong ON
  4. MO \cong MO
  5. \angle{N} \cong \angle{P}
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. US \cong US
  2. RU \cong TS
  3. \angle{1} \cong \angle{4}
  4. UT \cong SR
  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. AC \cong AC
  2. \angle{B} \cong \angle{D}
  3. \triangle ABD \cong \triangle DCA
  4. AD \cong BC
  5. \angle{1} \cong \angle{2}
  6. \angle{B} and \angle{D} are right angles
  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. GF \cong JK
  2. FH \cong HJ
  3. H is the midpoint of FJ
  4. \angle{G} \cong \angle{K}
  5. \triangle GFH \cong \triangle KJH
  6. \angle{1} \cong \angle{2}
  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