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WorksheetsTriangle Inequalies
Total questions: 76
Worksheet time: 3hrs 56mins
Name
Class
Date
1.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
2.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
3.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
4.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
5.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
6.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
7.
What is the correct order of the lengths of the streets from longest to shortest?
a)
A
b)
B
c)
C
d)
D
8.
Place the side lengths in order of longest to shortest.
a)
x, y, z
b)
y, x, z
c)
x, z, y
d)
z, x, y
e)
y, z, x
9.
In ∆DEF, DE = 7x + 1, EF = 11x – 18, and
DF = 5x + 13. If the perimeter of ∆DEF is 88,
which of the following lists the angles in order from least to greatest?∠∠∠
DF = 5x + 13. If the perimeter of ∆DEF is 88,
which of the following lists the angles in order from least to greatest?∠∠∠
a)
∠D, ∠E, ∠F
b)
∠D, ∠F, ∠E
c)
∠F, ∠D, ∠E
d)
∠E, ∠F, ∠D
10.
Would the sides 5, 8, and 4 make a triangle?
a)
Yes
b)
No
11.
Use the image to compare the side lengths. RE ______ CR
a)
>
b)
<
c)
=
12.
Place the side lengths in order of longest to shortest.
a)
x, y, z
b)
y, x, z
c)
x, z, y
d)
z, x, y
e)
y, z, x
13.
Use the image to select the two values to fill in the blanks.
a)
2 cm
b)
10 cm
c)
1.3 cm
d)
4.9 cm
e)
11.1 cm
14.
Use the image to place the angles in order from smallest to largest.
a)
<M, <L, <N
b)
<N, <L, <M
c)
<L, <M, <N
d)
<M, <N, <L
15.
Which set of numbers may represent the lengths of the sides of a triangle?
a)
{2,5,9}
b)
{6,6,7}
c)
{6,4,2}
d)
{7,8,1}
16.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
17.
Which lists the sides of ∆PQR in order from
greatest to least?
greatest to least?
a)
PQ, QR, PR
b)
QR, PQ, PR
c)
PR, QR, PQ
d)
PR, PQ, QR
18.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
19.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
20.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
21.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ
22.
Identify the largest angle.
a)
∠N
b)
∠Q
c)
∠P
23.
Can the following side measures form a triangle?
3, 5, 8
3, 5, 8
a)
Yes
b)
No
24.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
25.
Vertical angles are
a)
50 degrees
b)
equal
c)
make a straight line
26.
Complementary angles added together equal what degree?
a)
180
b)
90
c)
60
d)
45
27.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
28.
Solve for x
a)
5
b)
90
c)
25
d)
10
29.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
30.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
31.
Segment BH is an example of which of the following?
a)
Perpendicular Bisector
b)
Altitude
c)
Median
d)
Midsegment
32.
Segment DE is ____________.
a)
an angle bisector
b)
a perpendicular segment
c)
a median
d)
a midsegment
33.
Segment AD is ________.
a)
a perpendicular segment
b)
a median
c)
an angle bisector
d)
an altitude
34.
Triangle ABC has ...
a)
Midsegments
b)
Perpendicular Bisectors
c)
Angle Bisectors
d)
Medians
35.
In triangle ABC, point G is the ...
a)
Centroid
b)
Orthocenter
c)
Cirfumcenter
d)
Incenter
36.
This triangle has...
a)
Altitudes
b)
Perpendicular Bisectors
c)
Midsegments
d)
Medians
37.
This triangle has...
a)
Midsegments
b)
Altitudes
c)
Medians
d)
Perpendicular Bisectors
38.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
39.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
40.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
41.
Angle A and W are...
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Same-Side Interior
42.
Angle B and Angle G are...
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Same-Side Interior
43.
Identify the angle pair
a)
Corresponding Angles
b)
Consecutive Interior Angles
c)
Alternate Interior Angles
d)
Consecutive Exterior Angles
44.
Identify the angle pair
a)
Corresponding Angles
b)
Alternate Interior Angles
c)
Consecutive Interior Angles
d)
Alternate Exterior Angles
45.
What would you call two lines which do not intersect?
a)
long
b)
ray
c)
continuous
d)
parallel
46.
The symbol || is used to indicate...
a)
right angle
b)
road
c)
parallel lines
d)
two "l"s
47.
Angles immediately next to each other are called...
a)
consecutive/adjacent
b)
trapezoids
c)
rhombi
d)
pyramids
48.
A line, ray, or segment that intersects 2 or more parallel lines, rays, or segments.
a)
transcidental
b)
transformation
c)
transversal
d)
transcontinental
49.
The angles that lie in the area between the two parallel lines that are cut by a transversal, are called exterior angles.
a)
True
b)
False
50.
A pair of interior angles lie on the same side of the transversal. The measures of interior angles in each pair add up to 180 degrees.
a)
True
b)
False
51.
Pairs of alternate angles are congruent.
a)
True
b)
False
52.
Vertical angles are supplementary.
a)
True
b)
False
53.
A straight line is how many degrees?
a)
90
b)
360
c)
270
d)
180
54.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
55.
Find HG.
a)
8
b)
9
c)
10
d)
11
56.
Find AB.
a)
69
b)
20
c)
19
d)
11
57.
a)
9
b)
0
c)
8
d)
-8
58.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
59.
What does this image show?
a)
dot
b)
point
c)
circle
d)
angle
60.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
61.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
62.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
63.
Name the intersection of Line c and Plane R
a)
Point J
b)
Line HK
c)
Point K
d)
Line MN
64.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
65.
True or False: Points B, C, and D are coplanar.
a)
True
b)
False
66.
True or False: Points A, B, and C are coplanar.
a)
True
b)
False
67.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
68.
Which pair of triangles can be proven congruent by the ASA Postulate?
a)
b)
c)
d)
69.
For the ASA Postulate to apply, which side of the triangle must be known?
a)
the included side
b)
the longest side
c)
the shortest side
d)
a non-included side
70.
Which pair of triangles can be proven congruent by the AAS Theorem?
a)
b)
c)
d)
71.
For the AAS Theorem to apply, which side of the triangle must be known?
a)
the included side
b)
the longest side
c)
the shortest side
d)
a non-included side
72.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
73.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡KIJ≅∡KNJ
b)
∡IJK≅∡NJK
c)
∡IKJ≅∡NKJ
74.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
75.
Use the congruency statement to answer the following:
angle F = ___
angle F = ___
a)
angle H
b)
angle I
c)
angle G
d)
not congruent to another angle
76.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
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