WorksheetsCalculating Median and Altitude
Total questions: 26
Worksheet time: 29mins
Name
Class
Date
1.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
2.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
3.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
4.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
5.
Fill in the blanks.
Medians connect the __________ to the opposite ________.
Medians connect the __________ to the opposite ________.
a)
hypotenuse; leg
b)
leg; hypotenuse
c)
vertex; leg
d)
leg; vertex
6.
Fill in the blank.
Altitudes hit the ground at _______ degrees.
Altitudes hit the ground at _______ degrees.
a)
180
b)
90
c)
60
d)
360
7.
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.
8.
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.
9.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
10.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Altitude-point
11.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
12.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
13.
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
14.
a)
x=28
b)
x=14
c)
x=23
d)
x=46
15.
HK is an altitude in ΔGHI.
What is the measure of ∠HKG?
What is the measure of ∠HKG?
a)
60°
b)
180°
c)
90°
d)
360°
16.
Define: CIRCUMCENTER OF A TRAINGLE
a)
the intersection point of the three perpendicular bisectors of a triangle
b)
when a circle passes through the three vertices of a triangle
c)
the point of intersection of three or more lines
d)
the intersection point of the three angle bisectors of a triangle
17.
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
18.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
19.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
20.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
21.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
22.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
23.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
24.
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
25.
What type of angle is shown?
a)
Acute Angle
b)
Obtuse Angle
c)
Right Angle
d)
Straight Angle
26.
If ∢3 is 35o, what is ∢4?
a)
35o
b)
51o
c)
45o
d)
23o
100 %
