WorksheetsTriangles
Total questions: 12
Worksheet time: 11mins
Name
Class
Date
1.
In ΔEFG, the sum of the measures of ∠E and ∠F is 74°, what is the measure of ∠G
a)
53°
b)
74°
c)
92°
d)
In 106°
2.
Jefferson Elementary plans to build a triangular playground on the corner of the school property where the soccer field and the sidewalk form a right angle. The playground and the lengths, in meters, of 2 of its sides are shown in the figure below. The playground will be enclosed by a wooden fence that is set up along its entire perimeter. To the nearest meter, how many meters of wooden fence will enclose the playground?
a)
124
b)
86
c)
80
d)
70
3.
In ∆LMN, the measure of ∠L is 51° and the measures of ∠M is 48°. Which of the following inequalities concerning the lengths of the sides of ∆LMN is true?
a)
MN>LM
b)
LN+MN<LM
c)
LN>MN
d)
LM>LN
4.
The length of side MN of isosceles ∆MNO is 3 centimeters less than the length of sides MO and NO, which each have a length of X cm. Side QR of isosceles ∆PQR, which is similar to ∆MNO, corresponds to NO and has a length of 12X cm. In terms of x, what is the length of PQ?
a)
12x-36
b)
12x+7
c)
12x-3
d)
x+7
5.
Which of the following angle measures CANNOT be the measure of any angle in an acute triangle?
a)
45°
b)
63°
c)
89°
d)
112°
6.
What is the length, in feet, of line WZ?
a)
√89
b)
√39
c)
√13
d)
13
7.
Which of the following statements about the measures of the interior angles in rectangle WXYZ is true?
(Note: m∠XYZ represents the degree measures of ∠YXZ.)
(Note: m∠XYZ represents the degree measures of ∠YXZ.)
a)
m∠WZX=m∠YXZ
b)
m∠WXZ=m∠WZX
c)
m∠WXZ=m∠YXZ
d)
m∠XWZ=m∠XZY=180°
8.
Abbi is making a small triangular flag for a sandcastle. In the figure below, the flag represented by ∆JKL. Line KN is 24 centimeters long, and legs line JK and line KL are each 26 centimeters long. The flagpole, represented by line JM, is perpendicular to like KN and extends 30 centimeters below the bottom of the flag. How many centimeters long is the flagpole?
a)
10
b)
20
c)
40
d)
50
9.
What is the area, in square inches, of an obtuse triangle with 2 sides that each measure 10 inches and 2 angles that each measure 30°?
a)
50
b)
25
c)
50√3
d)
25√3
10.
In ∆ABC line AB = line BC, and ∠ABC measures 70°. What is the measure of ∠BAC?
a)
35°
b)
55°
c)
70°
d)
110°
11.
The given dimensions of the right triangle shown below are in inches. What is the length, in inches, of the hypotenuse of the triangle?
a)
√3
b)
√5
c)
3
d)
5
12.
The legs of the right triangle below are doubled in length to become the legs of a new right triangle. What is the length, in feet, of the longest side of the new triangle?
a)
12
b)
13
c)
15
d)
17
100 %
