4.7 Preap Geometry Special Segments And Points Of Concurrency
21 Questions
| Attempts: 129
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
.jpg "Which of the following equations best matches the line containing the median of triangle ABC through vertex A?")
.jpg "V is the centroid of triangle PRT shown below. If VS = 7, then PV = _____.")
.jpg "V is the centroid of triangle PRT shown below. QV = 3m – 1 and QT = 7m + 3.
Find the value of m, then find VT.")
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