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Geometry: Semester Exam (quiz)

8 Questions
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Questions and Answers
  • 1. 
    Use the law of detachment to draw a conclusion from the two given statements: If two angles are congruent, then they have equal measures.             <P and <Q are congruent.
    • A. 

      A) m

    • B. 

      B) m

    • C. 

      C)

    • D. 

      D) m

  • 2. 
    17) Which statement is the Law of Syllogism?
    • A. 

      A) if p->q is a true statement and p is true, then q is true.

    • B. 

      B) if p->q is a true statement and q is true, then p is true

    • C. 

      C) If p->q and q->r are true statements, then p->r is a true statement

    • D. 

      D) If p->q and q->r are true statements, then r->p is a true statement

  • 3. 
    Use the Law of Syllogism to draw a conclusion from the two given statements:If two lines intersect and form right angles, then the lines are perpendicular.If two lines are perpendicular, then they intersect and form 90 degree angles.
    • A. 

      A) The lines intersect and form 90 degree angles.

    • B. 

      B) if two lines do not intersect and form 90 degree angles, then they do not form right angles.

    • C. 

      C) The lines are perpendicular.

    • D. 

      D) If two lines intersect and form right angles, then they intersect and form 90 degree angles.

  • 4. 
    14) Which statement is the Law of Detachment?
    • A. 

      A) If p->q is a true statement and q is true, then p is true

    • B. 

      B) If p->q is a true statement and q is true, then q->p is true

    • C. 

      C) If p->q and q->r are true, then p->r is a true statement.

    • D. 

      D) If p->q is a true statement and p is true, then q is true.

  • 5. 
    15) If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. Statement 1: If x=3, the 3x-4=5 Statement 2: x=3
    • A. 

      A) 3x-4=5

    • B. 

      B) x=3

    • C. 

      C) if 3x-4=5, then x=3

    • D. 

      D) not possible

  • 6. 
    22) Name the property of equality that justifies this statement:If p=q, then p - r = q - r
    • A. 

      A) reflexive property

    • B. 

      B) Multiplication property

    • C. 

      C) Symmetric property

    • D. 

      D) Subtraction property

  • 7. 
    23) Which statement is an example of the Addition Property of Equality?
    • A. 

      A) If p=q then p x s=q x s

    • B. 

      B) If p=q then p+s=q+s

    • C. 

      C) If p=q then p - s=q - s

    • D. 

      D) p=q

  • 8. 
    26) Name the property of Congruence that justifies the statement:If XY=WX, then WX=XY
    • A. 

      A) Symmetric Property

    • B. 

      B) Transitive Property

    • C. 

      C) Reflexive Property

    • D. 

      D) None of these