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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. \triangle ABD \cong \triangle CBD
  2. BD \cong BD
  3. \angle{1} \cong \angle{2}
  4. AB \cong CB
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. \angle{A} \cong \angle{L}
  2. LM \cong AB
  3. \triangle ABC \cong \triangle LMC
  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. EF \cong HF
  2. \triangle EFJ \cong \triangle HFG
  3. \angle{1} \cong \angle{2}
  4. FJ \cong FG
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. GC \cong MJ
  2. GC \parallel MJ
  3. \triangle GCM \cong \triangle MJG
  4. \angle{1} \cong \angle{2}
  5. GM \cong GM
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. AB \cong CB
  3. AD \cong CD
  4. DB \cong DB
  5. \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

Reason #5

1

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

  1. MO \cong OP
  2. RO \perp MP
  3. RO \cong RO
  4. \angle{3} and \angle{4} are right angles
  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. \angle{1} \cong \angle{2}
  2. \angle{C} \cong \angle{B}
  3. \triangle ABD \cong \triangle DCA
  4. AD \cong AD
  5. AC \parallel BD
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. O is the midpoint of ZX
  3. YO \cong AO
  4. O is the midpoint of AY
  5. ZO \cong XO
  6. \triangle ZOA \cong \triangle XOY
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. \angle{B} \cong \angle{D}
  3. AB \perp BC
  4. AD \perp DC
  5. AC \cong AC
  6. \triangle ABC \cong \triangle CDA
  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. TQ \cong RQ
  2. SV bisects RT
  3. \triangle SQR \cong \triangle VQT
  4. \angle{1} \cong \angle{2}
  5. SQ \cong VQ
  6. RT bisects SV
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. BE \parallel AD
  3. \angle{3} \cong \angle{4}
  4. C is the midpoint of AE
  5. AC \cong EC
  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. \triangle MNP \cong \triangle ONP
  3. \angle{2} \cong \angle{3}
  4. MN \cong NO
  5. NP \cong NP
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