Special Segments & Points of Concurrency

by Sandi Threadgill

| 14 Questions1

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

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