WorksheetsProperties of Triangles
Total questions: 44
Worksheet time: 1hrs 13mins
Name
Class
Date
1.
Segment BH is an example of which of the following?
a)
Perpendicular Bisector
b)
Altitude
c)
Median
d)
Midsegment
2.
Segment DE is ____________.
a)
an angle bisector
b)
a perpendicular segment
c)
a median
d)
a midsegment
3.
Segment AD is ________.
a)
a perpendicular segment
b)
a median
c)
an angle bisector
d)
an altitude
4.
Which segment is perpendicular to AB?
a)
FC
b)
AD
c)
EB
d)
AC
5.
Segment BE is ______________.
a)
perpendicular to AC
b)
a median
c)
a midsegment
d)
an angle bisector
6.
If AC = 32, what is the length of EC?
a)
16
b)
64
c)
32
d)
8
7.
Triangle ABC has ...
a)
Midsegments
b)
Perpendicular Bisectors
c)
Angle Bisectors
d)
Medians
8.
In triangle ABC, point G is the ...
a)
Centroid
b)
Orthocenter
c)
Circumcenter
d)
Incenter
9.
This triangle has...
a)
Altitudes
b)
Midsegments
c)
Angle Bisectors
d)
Medians
10.
This triangle has...
a)
Altitudes
b)
Perpendicular Bisectors
c)
Midsegments
d)
Medians
11.
This triangle has...
a)
Midsegments
b)
Altitudes
c)
Medians
d)
Perpendicular Bisectors
12.
Find AD AND BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
13.
Find PQ
a)
10
b)
3
c)
-2
d)
5
14.
Find LK
a)
3
b)
5
c)
-3
d)
6
15.
Find SV
a)
18
b)
36
c)
21
d)
9
16.
The mid segment of the triangle is 5x-1. Find the value of x.
a)
x = 6
b)
x = 7
c)
x = 11.8
d)
x = 12.4
17.
a)
22
b)
11
c)
3
d)
66
18.
The centroid is the point of concurrency of the 3 ____ of a triangle.
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
19.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
20.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Perpendicular Bisectors
d)
Altitude
21.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
22.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
23.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
24.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
25.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
26.
Which of the following describes a median of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
27.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
28.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
29.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
30.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
Orthocenter
c)
Centroid
d)
Altitude-point
31.
Given AM is the median, which of the following statements is false?
a)
BM = MC
b)
BC = 2MC
c)
MB = CB
d)
MC = BM
32.
Given: SA is the altitude, ∠SRA = 9x + 18, ∠RAS = 8x + 34, ∠ATS = 11x - 9. Find the value of x.
a)
x = 7
b)
x = 8
c)
x = 9
d)
x = 10
33.
Given SA is the altitude, which of the following statements is false?
a)
∠SAR = 90
b)
∠RAS ≅ ∠SAT
c)
∠SAT = 90
d)
∠TSR = 90
34.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle
b)
when three or more lines intersect at a single point
c)
the intersection point of the three perpendicular bisectors of a triangle
d)
the point of intersection of three or more lines
35.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
36.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
37.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
38.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
39.
HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.
a)
50
b)
16
c)
21
d)
not enough information
40.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
41.
The three altitudes of a triangle intersect at the___________________.
a)
orthocenter
b)
median
c)
centroid
d)
circumcenter
42.
The incenter of a triangle is equidistant from the __________ of a triangle.
a)
vertices
b)
sides
c)
angle bisector
d)
circumcenter
43.
The orthocenter of a right triangle falls ___________ the triangle.
a)
Inside
b)
Outside
c)
On
44.
Which is NOT a point of concurrency?
a)
Orthocenter
b)
Incenter
c)
Median
d)
Circumcenter
100 %
