# 4.7 Preap Geometry Special Segments And Points Of Concurrency

21 Questions | Attempts: 129
Share  Settings  This is a worksheet over the vocabulary of special segments.

• 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 Back to top