WorksheetsTriangle Inequalities
Total questions: 25
Worksheet time: 19mins
Name
Class
Date
1.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
2.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
3.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
4.
Where would the largest angle of a triangle be located?
a)
Across from the longest side.
b)
Across from the shortest side
c)
I need more information to get an answer.
5.
Name the sides from SMALLEST to LARGEST
a)
RS, ST, TR
b)
ST, RT, RS
c)
RT, ST, RS
d)
RT, RS, ST
6.
Name the sides from LARGEST to SMALLEST
a)
KJ, KH, JH
b)
JH, KH, KJ
c)
KH, KJ, JH
d)
KH, JH, KJ
7.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
8.
Can a triangle be formed with side lengths:
4, 7, 10
4, 7, 10
a)
yes
b)
no
c)
not enough information
9.
Can a triangle be formed with side lengths:
10, 12, 22
10, 12, 22
a)
yes
b)
no
c)
not enough information
10.
Can a triangle be formed with side lengths:
17, 9, 30
17, 9, 30
a)
yes
b)
no
c)
not enough information
11.
What is an angle bisector?
a)
Makes two 90 degree angles
b)
splits a 90 degree angle in half
c)
splits any angle in half
d)
splits 2 sides in half
12.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
13.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
14.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
15.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
16.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
17.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
18.
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
19.
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
20.
How many degrees make up a triangle?
a)
45
b)
90
c)
60
d)
180
21.
Which two angles are the remote interior angles to Angle W?
a)
Angle X and Angle Y
b)
Angle X and Angle Z
c)
Angle Y and Angle Z
d)
Angle Z and Angle W
22.
What is the measure of x?
a)
101°
b)
111°
c)
121°
d)
131°
23.
Solve for x.
a)
1
b)
2
c)
3
d)
4
24.
What is an exterior angle of a triangle?
a)
angle formed by any of the sides inside the triangle
b)
angle between any of the side of a triangle extending outside
25.
What is the measure of angle 4?
a)
35
b)
92
c)
123
d)
145
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