Special Segments & Points of Concurrency
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| 14 Questions
1
1
A(n) ? is shown in the triangle.
A perpendicular bisector
B angle bisector
C median
D altitude
E all of these
2
1
A(n) ? is shown in the triangle.
A perpendicular bisector
B angle bisector
C median
D altitude
E all of these
3
1
A(n) ? is shown in the triangle.
A perpendicular bisector
B angle bisector
C median
D altitude
E all of these
4
1
A(n) ? is shown in the triangle.
A perpendicular bisector
B angle bisector
C median
D all of these
5
1
A(n) ? is shown in the triangle.
A perpendicular bisector
B angle bisector
C median
D altitude
6
1
The point at which the medians of a triangle intersect is the ?
A incenter
B circumcenter
C orthocenter
D centroid
7
1
The point at which the lines containing the altitudes of a triangle intersect is ?
A incenter
B circumcenter
C orthocenter
D centroid
8
1
The point at which the perpendicular bisectors of a triangle intersect is the ?
A incenter
B circumcenter
C orthocenter
D centroid
9
1
The point at which the angle bisectors of a triangle intersect is the ?
A incenter
B circumcenter
C orthocenter
D centroid
10
1
The point which is equidistant from the vertices of the triangle is the ?
A incenter
B circumcenter
C orthocenter
D centroid
11
1
In the figures below, the median is drawn in each triangle. Which statement(s) are true?
i. In an isosceles triangle, a median can be an angle bisector.
ii. In an isosceles triangle, a median can be a perpendicular bisector.
iii. In every triangle, a median is a perpendicular bisector.
A i and ii only
B ii and iii only
C All three are true
D Only iii is true
12
1
In triangle ABC, if an altitude is drawn from vertex C to intersect segment AB at X, which of the following conjectures cannot be made?
A segment AB is perpendicular to segment CX.
B angle CXB is a right angle.
C triangle AXC is a right triangle.
D segment AX is congruent to segment BX.
13
1
If segment WV is perpendicular to segment XV and m<UWV = m<UXV, which of the following statements is not true?
A The construction is a perpendicular bisector of a triangle.
B Triangle VXW is a right triangle.
C Triangle UXV is an isosceles triangle.
D Angle TUX is supplementary to XUV angle.
E m<XVU = 45
14
1
Based on the construction, which statement is not necessarily true?
A The construction is an angle bisector of a triangle.
B AR = AQ
C m<PAQ = m<PAR
D RB = QC
E BP is not equal to CP