Geometry: Semester Exam (Quiz)

8 Questions | Attempts: 196
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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

    Correct Answer
    B. B) 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

    Correct Answer
    C. C) If p->q and q->r are true statements, then p->r 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.

    Correct Answer
    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.

    Correct Answer
    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

    Correct Answer
    A. A) 3x-4=5
  • 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

    Correct Answer
    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

    Correct Answer
    B. B) If p=q then p+s=q+s
  • 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

    Correct Answer
    A. A) Symmetric Property

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Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 21, 2022
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 19, 2010
    Quiz Created by
    Murphluv
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