WorksheetsSpecial Segments in Triangles
Total questions: 50
Worksheet time: 2hrs 15mins
Name
Class
Date
1.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
sangle bisector
2.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
3.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
4.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
5.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)
midsegment
6.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
7.
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
8.
a)
m∠SQP=29, m∠PQR=58
b)
m∠SQP=29, m∠PQR=29
c)
m∠SQP=58, m∠PQR=58
d)
m∠SQP=58, m∠PQR=29
9.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
10.
Triangle DAC is an isosceles triangle. What is the length of DC
a)
4
b)
1
c)
2
d)
3
11.
Based on the markings, segment BG represents the...
a)
angle bisector
b)
median
c)
altitude
d)
perpendicular bisector
12.
Which of the following describes a median of a triangle?
a)
A segment that is perpendicular to the side of a triangle at its midpoint.
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.
13.
The centroid is the point of concurrency of the ________________ of a triangle.
a)
Medians
b)
Altitudes
c)
Perpendicular Bisectors
d)
Angle Bisectos
14.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
15.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
16.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
17.
If AG = 2x + 21 and RE = x + 10.5,
what is NG?
what is NG?
a)
16
b)
8
c)
26.5
d)
10.5
18.
Find the midpointpoints of the segments of the triangle. A(-4, -2), B(-2. 2), C(2, 0)
a)
(-3, 0), (0, 1), (-1, -1)
b)
(-1, -2), (-2, 1), (-3, -1)
c)
(4, 4), (0, -4), (-8, 0)
19.
What is the measure of Angle S?
(HINT: use what you know about triangle degrees and about linear pairs!)
(HINT: use what you know about triangle degrees and about linear pairs!)
a)
22 degrees
b)
11 degrees
c)
55 degrees
d)
33 degrees
20.
12. what type of lines are shown:
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
medians
21.
The centroid cuts each median into two segments. The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
22.
Which point is equidistant from the vertices of a triangle?
a)
Circumcenter
b)
Incenter
c)
perpendicular bisector
d)
angle bisector
23.
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.
24.
What does an angle bisector do?
a)
Makes two 90 degree angles
b)
splits a 90 degree angle in half
c)
splits an angle in half
d)
splits 2 sides in half
25.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
26.
1. If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
27.
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
28.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
Orthocenter
c)
Centroid
d)
Altitude-point
29.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
30.
The length of a side of a triangle is 18 inches. What is the length of the midsegment that is parallel to it?
a)
3 inches
b)
9 inches
c)
12 inches
d)
15 inches
31.
How many midsegments does a triangle have?
a)
1
b)
2
c)
3
d)
4
32.
Name the parallel segment.
a)
JH
b)
PN
c)
MP
d)
MN
33.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
34.
Find the missing length.
a)
12
b)
3
c)
24
d)
6
35.
Find the missing length.
a)
x = 3
b)
x = 4
c)
x = 7
d)
x = 5
36.
The dash lines are midsegments.
If AC=42, find DF
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
37.
Define: INCENTER OF A TRIANGLE
a)
the point of concurrency of the three angle bisectors of a triangle
b)
the point of concurrency of the three medians of a triangle
c)
the point of concurrency of the three perpendicular bisectors of a triangle
d)
the point of concurrency of the three midsegments of a triangle
38.
Define: CIRCUMCENTER OF A TRIANGLE
a)
the point of concurrency of the three angle bisectors of a triangle
b)
the point of concurrency of the three medians of a triangle
c)
the point of concurrency of the three perpendicular bisectors of a triangle
d)
the point of concurrency of the three midsegments of a triangle
39.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
40.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
41.
a)
74
b)
100
c)
104
d)
108
42.
a)
5
b)
10
c)
12
d)
15
43.
For the pair of similar figures, find the length of each side marked with a variable.
a)
1.8 in
b)
2.1 in
c)
9.8 in
d)
9.3 in
44.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
45.
What are the missing sides of the triangle?
a)
11 and 12
b)
13 and 11
c)
11 and 14
d)
13 and 12
46.
Read the problem and find the missing measurement. Use labels or pictures to help set up the problem.
A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?
A home's height is 40 ft. and casts a shadow that is 12 ft.. A car in the driveway is 10 ft. high. How long is the car's shadow?
a)
x = 3 ft.
b)
x = 12 ft.
c)
x = 120 ft.
d)
none of the above
47.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
48.
On a map, if one centimeter represents 25 kilometers, how many kilometers does 7 centimeters represent?
a)
175
b)
185
c)
200
d)
220
49.
Which ratio is written incorrectly?
a)
X : Y
b)
X and Y
c)
X/Y
d)
X to Y
50.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
100 %
