Log inSign up for FREE
Library

5.4 Worksheet

Last updated over 3 years ago
75 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{1} \cong \angle{2}
  2. BD \cong BD
  3. AB \cong CB
  4. \triangle ABD \cong \triangle CBD
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

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

  1. LM \cong AB
  2. \triangle ABC \cong \triangle LMC
  3. \angle{A} \cong \angle{L}
  4. \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

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

  1. FJ \cong FG
  2. EF \cong HF
  3. \angle{1} \cong \angle{2}
  4. \triangle EFJ \cong \triangle HFG
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

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

  1. GM \cong GM
  2. GC \cong MJ
  3. \angle{1} \cong \angle{2}
  4. GC \parallel MJ
  5. \triangle GCM \cong \triangle MJG
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. B is the midpoint of AC
  2. \triangle ABD \cong \triangle CBD
  3. AB \cong CB
  4. DB \cong DB
  5. AD \cong CD
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. RO \perp MP
  2. MO \cong OP
  3. \angle{3} and \angle{4} are right angles
  4. RO \cong RO
  5. \triangle MRO \cong \triangle PRO
  6. \angle{3} \cong \angle{4}
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 ABD \cong \triangle DCA
  2. AC \parallel BD
  3. \angle{C} \cong \angle{B}
  4. \angle{1} \cong \angle{2}
  5. AD \cong AD
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. YO \cong AO
  2. O is the midpoint of AY
  3. \angle{1} \cong \angle{2}
  4. \triangle ZOA \cong \triangle XOY
  5. O is the midpoint of ZX
  6. ZO \cong XO
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. AD \cong BC
  2. \triangle ABC \cong \triangle CDA
  3. AC \cong AC
  4. AB \perp BC
  5. \angle{B} \cong \angle{D}
  6. AD \perp DC
  7. \angle{B} and \angle{D} are right angles
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. RT bisects SV
  2. SV bisects RT
  3. \triangle SQR \cong \triangle VQT
  4. TQ \cong RQ
  5. SQ \cong VQ
  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 ACD \cong \triangle ECB
  2. AC \cong EC
  3. \angle{3} \cong \angle{4}
  4. BE \parallel AD
  5. C is the midpoint of AE
  6. \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

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

  1. PN bisects \angle{MNO}
  2. \angle{2} \cong \angle{3}
  3. NP \cong NP
  4. MN \cong NO
  5. \triangle MNP \cong \triangle ONP
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