4.7 Preap Geometry Special Segments And Points Of Concurrency

21 Questions | Total Attempts: 81

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4.7 Preap Geometry Special Segments And Points Of Concurrency - Quiz

This is a worksheet over the vocabulary of special segments.


Questions and Answers
  • 1. 
    In a triangle, a perpendicular bisector is __________________ to a side of the triangle and intersects that side at its ____________________.  Ckeck the choices that best fit the blanks.
    • A. 

      Perpendicular

    • B. 

      Median

    • C. 

      Midpoint

    • D. 

      Point

  • 2. 
    True or False.  In a triangle, an angle bisector divides an angle into two congruent angles.
    • A. 

      True

    • B. 

      False

  • 3. 
    True or False.  In a triangle, a median connects a vertex with the midpoint of the  opposite side.
    • A. 

      True

    • B. 

      False

  • 4. 
    In a triangle, an altitude connects a midpoint with the line containing the opposite side, and is perpendicular to that line.
    • A. 

      True

    • B. 

      False

  • 5. 
    Choose the best appropriate answer for the blank.  In an _____________ triangle, the circumcenter, incenter, centroid, and orthocenter are the same point.
    • A. 

      Scalene

    • B. 

      Isosceles

    • C. 

      Equilateral

  • 6. 
    Choose the best appropriate answer for the black.  In an isosceles triangle, the altitude from the _________________ to the base is also a perpendicular bisector, an angle bisector, and a median.
    • A. 

      Base angle

    • B. 

      Vertex

    • C. 

      Leg

  • 7. 
    Always, Sometimes or Never.  A median of a triangle _____________________ has a midpoint as an endpoint.
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

  • 8. 
    Always, Sometimes, or Never.  A median of a triangle ______________________ lies outside of the triangle.
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

  • 9. 
    Always, Sometimes, or Never.  A perpendicular bisector of a triangle _____________ contains a vertex of the triangle.
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

  • 10. 
    Always, Sometimes, or Never.  The angle bisectors of a triangle _________________ intersect at a single point.
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

  • 11. 
    Always, Sometimes, or Never.  The circumcenter of a triangle __________________ lies outside the triangle.
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

  • 12. 
    Always, Sometimes, or Never.  The centroid of a triangle _____________________ lies outside the triangle.
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

  • 13. 
    • A. 

      (4, -1)

    • B. 

      (7, -4)

    • C. 

      (4, -4)

  • 14. 
    • A. 

      (-3, 0)

    • B. 

      (-3, -4)

    • C. 

      (3, -2)

  • 15. 
    Which of the following equations best matches the line containing the altitude of triangle ABC through vertex B?
    • A. 

      Y = x + 1

    • B. 

      Y = (5/3)x + 2

    • C. 

      Y = (-3/5)x

  • 16. 
    Which of the following equations best matches the line containing the median of triangle ABC through vertex A?
    • A. 

      Y = -3

    • B. 

      Y = -x-3

    • C. 

      Y = -x-2

  • 17. 
    V is the centroid of triangle PRT shown below.   If QV = 3, then QT = _____ .       
    • A. 

      9

    • B. 

      6

    • C. 

      3

  • 18. 
    V is the centroid of triangle PRT shown below.  If VS = 7, then PV = _____.
    • A. 

      7

    • B. 

      14

    • C. 

      21

  • 19. 
    V is the centroid of triangle PRT shown below.  QV = 3m – 1 and QT = 7m + 3.          Find the value of m, then find VT. 
    • A. 

      M=3, VT = 8

    • B. 

      M=3, VT = 16

    • C. 

      M=3, VT = 24

  • 20. 
    Using the figure below,   Triangle ABC is isosceles and <A is the vertex angle.  AD is the perpendicular bisector of BC.  If BC = 2x2 and BD = 4x + 21 find the value(s) of x.
    • A. 

      X = -7 or -3

    • B. 

      X = -7 or 3

    • C. 

      X = 7 or -3

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