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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. BD \cong BD
  2. \triangle ABD \cong \triangle CBD
  3. AB \cong CB
  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. 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. \triangle EFJ \cong \triangle HFG
  2. FJ \cong FG
  3. \angle{1} \cong \angle{2}
  4. EF \cong HF
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. \triangle GCM \cong \triangle MJG
  3. GC \cong MJ
  4. GC \parallel MJ
  5. \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

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

  1. AB \cong CB
  2. \triangle ABD \cong \triangle CBD
  3. DB \cong DB
  4. B is the midpoint of AC
  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. \angle{3} and \angle{4} are right angles
  2. RO \cong RO
  3. MO \cong OP
  4. \angle{3} \cong \angle{4}
  5. \triangle MRO \cong \triangle PRO
  6. RO \perp MP
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. \angle{C} \cong \angle{B}
  3. \angle{1} \cong \angle{2}
  4. AC \parallel BD
  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. \angle{1} \cong \angle{2}
  2. YO \cong AO
  3. O is the midpoint of AY
  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. \angle{B} and \angle{D} are right angles
  2. \triangle ABC \cong \triangle CDA
  3. AD \cong BC
  4. AC \cong AC
  5. AB \perp BC
  6. AD \perp DC
  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. TQ \cong RQ
  2. SV bisects RT
  3. \angle{1} \cong \angle{2}
  4. \triangle SQR \cong \triangle VQT
  5. RT bisects SV
  6. SQ \cong VQ
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. AC \cong EC
  2. BE \parallel AD
  3. \angle{3} \cong \angle{4}
  4. \triangle ACD \cong \triangle ECB
  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. MN \cong NO
  3. \angle{2} \cong \angle{3}
  4. NP \cong NP
  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