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Triangle Measures and Area Quiz

Total questions: 95

Worksheet time: 2hrs 42mins

Name
Class
Date
1.

Ms. Chen will paint a triangular tile. Which of the following can be used to calculate the area of the triangular tile?

a)

A = (6 cm)(4 cm)

b)

A = (6 cm)(5 cm)

c)

A = 1/2(6 cm)(4 cm)

d)

A = 1/2(6 cm)(5 cm)

2.

Which diagram best models the area formula for Triangle GHI?

a)

Triangle with height 10 in.

b)

Triangle with height 10 in.

c)

Triangle with height 10 in.

d)

Triangle with height 6 in.

3.

What is the area of the concrete base proposed by the planning committee in square feet?

a)

24.5 ft²

b)

21 ft²

c)

15 ft²

d)

30 ft²

4.

What is the volume of Solid B?

a)

2/9 in.³

b)

1/3 in.³

c)

1 in.³

d)

1/2 in.³

5.

What is the volume of Solid C?

a)

1 in.³

b)

1/2 in.³

c)

2 in.³

d)

3 in.³

6.

What is the volume of Solid D?

a)

1 1/2 in.³

b)

1 in.³

c)

2 in.³

d)

3 in.³

7.

Determine whether it is possible to form a triangle using the set of segments with the given measurements. Select TWO correct answers.

a)

11 in., 8 in., 16 in.

b)

5 cm, 5 cm, 10 cm

c)

4 ft, 3 ft, 3 1/2 ft

d)

12 m, 3 m, 8 m

e)

9.1 yards, 7 yards, 16.2 yards

8.

Order the side lengths from shortest to longest.

a)

s, r, t

b)

r, s, t

c)

t, s, r

d)

s, t, r

9.

The area of a parallelogram is 27 square meters, and the length of the parallelogram is 9 meters. What is the width of the parallelogram in meters?

a)

2 meters

b)

3 meters

c)

4 meters

d)

5 meters

10.

The rectangle shown represents the base of a rectangular prism. The height of the prism is 6 cm. Determine the volume of the prism.

a)

363 cubic centimeters

b)

330 cubic centimeters

c)

300 cubic centimeters

d)

350 cubic centimeters

11.

Trent made a statement about a triangle. Determine whether his statement is true or false.

​ (a)  

Choose from the below words
False
True
12.

Measurements of 4 cm, 7 cm, and ​ (a)   form a triangle

Choose from the below words
6 cm
11 cm
3 cm
2 cm
12 cm
13.

Measurements of 80 ft, 40 ft, and ​ (a)   form a triangle.​

Choose from the below words
45 ft
20 ft
25 ft
30 ft
35 ft
14.

The sum of the 2 shorter sides of a triangle must be ​ (a)   the length of the 3rd side of a triangle.

Choose from the below words
longer than
at least
shorter than
equal to
15.

What is the area of the given triangle?

16.

A triangle has vertices at a (-2, -4), B (-1, 3), and C (4, -4) in the coordinate plane. What is the area of the triangle?

17.

The area of the rectangle is ​ (a)   . The perimeter of the rectangle is ​ (b)   .

Choose from the below words
20
18
10
14
9
18.

ΔHGI≅ΔLKJ\Delta HGI\cong\Delta LKJ

Identify the following measures.

∠G=\angle G= ​ (a)  

KJ‾=\overline{KJ}= ​ (b)  

HI‾=\overline{HI}= ​ ​ (c)  

Choose from the below words

101°101\degree  

4646
33°33\degree
6
9
7
19.

How many degrees is this acute angle?

20.

A parallelogram has a base of 8 cm and a height of 5 cm. What is its area?

a)

30 cm²

b)

20 cm²

c)

13 cm²

d)

40 cm²

21.

Which formula can be used to find the volume of a rectangular prism with length 7 m, width 3 m, and height 2 m?

a)

V = 7 × 3 × 2

b)

V = 7 + 3 + 2

c)

V = 7 × 3

d)

V = 2 × (7 + 3)

22.

What is the area of a triangle with a base of 12 inches and a height of 4 inches?

a)

24 in²

b)

48 in²

c)

16 in²

d)

32 in²

23.

A rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. What is its volume?

a)

24 cm³

b)

60 cm³

c)

12 cm³

d)

20 cm³

24.

Which formula can be used to find the area of a parallelogram with base b and height h?

a)

A = b + h

b)

A = b × h

c)

A = 1/2 × b × h

d)

A = 2b + 2h

25.

What is the area of a triangle with a base of 10 meters and a height of 7 meters?

a)

70 m²

b)

35 m²

c)

17 m²

d)

140 m²

26.
Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.
a)
18 
b)
36
c)
72
d)
40
27.
Find the area of a trapezoid with bases of 12 meters and 6 meters, and a height of 5 meters. 
a)
90
b)
18
c)
45
d)
36
28.
 Find the area of a trapezoid with bases of 17 centimeters and 19 centimeters, and a height of 2 centimeters. 
a)
18
b)
45
c)
32
d)
36
29.
Find the area of a trapezoid with bases of 3 in and 7 in, with a height of 6 in?
a)
60
b)
32
c)
30
d)
36
30.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
31.
Find the area
a)
41
b)
45
c)
44
d)
43
32.
Name that shape.
a)
quadrilateral, parallelogram
b)
quadrilateral
c)
quadrilateral, kite.
d)
quadrilateral, trapezoid
33.
Find the area of the figure
a)
30 cm2
b)
44 cm2
c)
88 cm2
d)
22 cm2
34.
Find the Area:
a)
84 m2
b)
168 m2
c)
112 m2
d)
56 m2
35.
Find the Area.
a)
91 ft2
b)
77 ft2
c)
78 ft2
d)
105 ft2
36.

In a triangle, how many total degrees are there?

(a)  

37.

Angles that are exactly 90 degrees are called _____ ______.

(a)  

38.

Find the measure of each angle indicated. 

(a)  

39.

Find the measure of each angle indicated. 

(a)  

40.

Solve for the missing angle measure.

(a)  

41.

Find the measure of the missing angle.

(a)  

42.

Find the measure of each angle indicated. 

(a)  

43.

What is the measure of the missing angle?

(a)  

44.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
45.
If all three angles are exactly the same measure, how big is each angle?
Hint:    x + x + x  = 180
a)
180 degrees
b)
90 degrees
c)
50 degrees
d)
60 degrees
46.
What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?
a)
43
b)
58
c)
72
d)
101
47.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
48.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
49.

Two interior angles of a triangle measure 34 degrees and 38 degrees. What is the third interior angle of the triangle?

a)

108 degrees

b)

72 degrees

c)

2 degrees

d)

23 degrees

50.

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

a)

45°, 65°, 70°

b)

150°, 110°, 100°

c)

50°, 50°, 50°

d)

90°, 90°, 90°

51.

What is the formula to find the area of a parallelogram?

a)

A = b x h

b)

A = 1/2 x b x h

c)

A = 1/2 x (b1+b2) x h

d)

A = l x w

52.

What is the formula to find the area of a triangle?

a)

A = b x h

b)

A = 1/2 x b x h

c)

A = 1/2 x (b1+b2) x h

d)

A = l x w

53.

What is the formula to find the area of a trapezoid?

a)

A = b x h

b)

A = 1/2 x b x h

c)

A = 1/2 x (b1+b2) x h

d)

A = l x w

54.
a)
Area of a Circle
b)
Circumference of a Circle
c)
Area of a Trapezoid
d)
Area of a Triangle
55.
What formula would you use to find the area?
a)
A = bh
b)
A = 1/2 bh
c)
A = 1/2 h (b1+b2)
d)
A = lw
56.
What formula would you use to find the area?
a)
A = bh
b)
A = 1/2 bh
c)
A = 1/2 h (b1+b2)
d)
A = lw
57.
What formula would you use to find the area?
a)
A = bh
b)
A = 1/2 bh
c)
A = 1/2 h (b1+b2)
d)
A = lw
58.
Which formula?
a)
Area of Square
b)
Perimeter of Square
c)
Perimeter of Rectangle
d)
Area of Triangle
59.
Which formula?
a)
Area of Rectangle
b)
Perimeter of Triangle
c)
Perimeter of Rectangle
d)
Area of Square
60.

The distance around an object is called the

a)

area

b)

perimeter

61.

Which of the following types of formulas would you use for the situation? " If you want to put a fence around a garden"

a)

area

b)

volume

c)

surface area

d)

perimeter

62.
Find the measure of the missing angle.
a)
8o
b)
58o
c)
122o
d)
64o
63.
Can the following side measures form a triangle?
  3, 5, 8 
a)
Yes
b)
No
64.
Find the measure of angle D.
a)
140 degrees
b)
16 degrees
c)
40 degrees
d)
90 degrees
65.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
66.
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
67.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
68.
Select the measurements that match the sides of a triangle.
a)
7, 9, 19
b)
7, 12, 1
c)
7, 7, 7
d)
7, 7, 16
69.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
70.
Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd
a)
yes
b)
no
71.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
72.
Find the missing angle.
a)
29° 
b)
39° 
c)
49° 
d)
59° 
73.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
74.
Which side lengths would NOT form a triangle?
a)
{3,4,5}
b)
{2,5,9}
c)
{5,10,12}
d)
{7,9,11}
75.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
76.
side lengths of 4,4,4 form a triangle
a)
True
b)
False
77.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
78.
Name the angles from LARGEST to SMALLEST
a)
R, S, T
b)
S, T, R
c)
S, R, T
d)
T, S, R
79.

Will these line segments form a triangle?

a)

yes

b)

no

80.
List the sides of the triangles in order from greatest to least.
a)
AB, BC, CA
b)
AB, AC, CB
c)
CA, AB, BC
d)
AB, BC and CA are the same
81.

Order the angles of the triangle from smallest to largest

a)

Z, R, O

b)

Z, O, R

c)

R, O, Z

82.

Order the angles of the triangle from smallest to largest

a)

B, C, A

b)

A, B, C

c)

A, C, B

83.

Order the angles of the triangle from smallest to largest

a)

A, C, D

b)

C, A, D

c)

D, A, C

84.

Order the angles of the triangle from largest to smallest

a)

B, C, A

b)

A, B, C

c)

C, A, B

85.

Order the angles of the triangle from smallest to largest

a)

V, X, Y

b)

V, Y, X

c)

X, Y, V

86.

Order the angles of the triangle from largest to smallest

a)

O, A, M

b)

M, A, O

c)

A, M, O

87.

Order the angles of the triangle from smallest to largest

a)

E, D, F

b)

D, E, F

c)

F, D, E

88.

Order the angles of the triangle from largest to smallest

a)

G, I, H

b)

G, H, I

c)

I, G, H

89.

Order the sides of the triangle from shortest to longest

a)

TA, RT, AR

b)

RT, AR, TA

c)

AR, RT, TA

90.

Order the sides of the triangle from shortest to longest

a)

LO, BL, BO

b)

BO, BL, LO

c)

BL, LO, BO

91.

Order the sides of the triangle from longest to shortest

a)

RP, RQ, PQ

b)

RQ, RP, PQ

c)

PQ, RP, RQ

92.

Order the sides of the triangle from shortest to longest

a)

JL, JK, LK

b)

LK, JK, JL

c)

JK, JL, LK

93.

Order the sides of the triangle from longest to shortest

a)

BC, AB, AC

b)

AB, BC, AC

c)

AC, BC, AB

94.

Order the sides of the triangle from shortest to longest

a)

BC, AB, AC

b)

AB, AC, BC

c)

AC, AB, BC

95.

Order the sides of the triangle from longest to shortest

a)

MO, NO, MN

b)

MN, NO, MO

c)

NO, MN, MO

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