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Worksheets5.1-5.2 Special Segments in a Triangle
Total questions: 25
Worksheet time: 31mins
Name
Class
Date
1.
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.
2.
A ray that divides an angle into two congruent angles.
(a)
3.
Perpendicular lines ... (a)
Choose from the below words
will never intersect
intersect to form right angles
are curved lines
intersect to form 45 degree angle
4.
The figure is an example of a(n) ...
(a)
5.
Goes from one vertex perpendicular to the opposite side.
(a)
6.
Goes from vertex to midpoint of opposite sides
(a)
7.
Goes through the midpoint at 90 degrees. It does not necessarily go through a vertex of the triangle (a)
Choose from the below words
altitude
midsegment
perpendicular bisector
median
8.
What is true about a perpendicular bisector?
a)
Cuts the side of a triangle into 2 congruent parts.
b)
It is perpendicular to the side of a triangle.
c)
It passes through the midpoint of the side of the triangle.
d)
All of the above
9.
The figure is an example of a(n) ...
(a)
10.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
11.
Which of the following segments represents a median?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
12.
The figure is an example of a(n) ...
(a)
13.
The figure is an example of a(n) ...
(a)
14.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
15.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment PR is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment PR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
16.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
17.
Find the length of AD
18.
Find PQ
19.
In ΔPQS RS is a median. If PQ = 7 inches, Find PS.
20.
AD = 12. Find AG (a)
Choose from the below words
6
8
18
12
21.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF. (a)
Choose from the below words
20
10
5
Not Enough Information
22.
If G is the centroid of triangle ABC and AC= 32. Find the length of CE.
23.
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
24.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
25.
If P is the incenter of ΔAEC , find the measure of m∠DAC
(a)
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