Worksheetsunique triangles and circles
Total questions: 35
Worksheet time: 57mins
Name
Class
Date
1.
Which theorem is used in the folowing example?
BA = 12 cm
∠A = 70°
AC = 8 cm
BA = 12 cm
∠A = 70°
AC = 8 cm
a)
SSS
b)
SAS
c)
ASA
d)
AAS
2.
How many triangles will the diagonals create?
a)
6
b)
0
c)
5
d)
4
3.
Which set of side lengths will make a triangle?
a)
6, 8, 13
b)
7, 9, 18
c)
7, 7, 14
d)
2, 6, 9
4.
What is the missing angle?
a)
90°
b)
87°
c)
80°
d)
88°
5.
Which theorem is used in the following example?
∠B = 30°
∠C = 80°
CA = 8 cm
∠B = 30°
∠C = 80°
CA = 8 cm
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.
Which set of side lengths will NOT make a triangle?
a)
3, 4, 5
b)
1, 3, 4
c)
3, 5, 7
d)
2, 8, 9
7.
Which theorem is used in the following example?
AB = 12 cm
BC = 10 cm
CA = 8 cm
AB = 12 cm
BC = 10 cm
CA = 8 cm
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
Which theorem is used in the following example?
∠B = 30°
BC = 10
∠C = 80°
∠B = 30°
BC = 10
∠C = 80°
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
How many triangles exist with the following angle measures?
80°, 50°, 50°
80°, 50°, 50°
a)
No triangle exists with the given angle measures.
b)
More than one unique triangle exists with the given angle measures.
c)
Exactly one unique triangle exists with the given angle measures.
10.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
11.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
acute scalene
12.
Which theorem is used in the following example?
AB = 12 cm
BC = 10 cm
CA = 8 cm
AB = 12 cm
BC = 10 cm
CA = 8 cm
a)
SSS
b)
SAS
c)
ASA
d)
AAS
13.
Which set of side lengths will NOT make a triangle?
a)
3, 4, 5
b)
1, 3, 4
c)
3, 5, 7
d)
2, 8, 9
14.
Does a triangle with these side lengths exist?
33, 16, 17
33, 16, 17
a)
Yes
b)
No
c)
I don't know.
15.
Which of the following theorems do NOT produce a unique triangle:
a)
SSS
b)
SAS
c)
ASA
d)
SSA
16.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
17.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
18.
What is the area of this circle?
a)
50.27
b)
78.23
c)
98.12
d)
201.06
19.
A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the window's approximate circumference?
a)
3 m
b)
9.42 m
c)
12 m
d)
18.84 m
20.
Meg swam from one side of her circular pool to the other side going through the center. If Meg swam 8 feet, what is the approximate circumference of Meg's pool?
a)
16 feet
b)
25.12 feet
c)
251.2 feet
d)
4 feet
21.
Shring's dining room table is round and has a radius of 4.5 feet. What is the tabletop's approximate circumference?
a)
14.13 ft
b)
20.68 ft
c)
26.28 ft
d)
28.26 ft
22.
Serena drew a circle with a circumference of 157 centimeters. What is the approximate diameter of the circle she drew?
a)
1.57 cm
b)
15.7 cm
c)
50 cm
d)
25 cm
23.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246 ft
c)
365 ft
d)
393 ft
24.
What is the perimeter of the rectangle?
a)
28 sq feet
b)
28 feet
c)
48 feet
d)
48 sq feet
25.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
26.
Find the area of the rectangle.
a)
36 in.2
b)
72 in.2
c)
26 in.2
d)
13 in.2
27.
Find the area of the rectangle.
a)
36 in.2
b)
72 in.2
c)
26 in.2
d)
13 in.2
28.
What is the PERIMETER of this rectangle?
a)
22 sq. yd.
b)
22
c)
22 cm
d)
22 yd.
29.
What is the perimeter?
a)
30 units
b)
32 units
c)
24 units
d)
36 units
30.
Find the AREA of this figure.
a)
160 square feet
b)
160 feet
c)
160
d)
1600 feet
31.
Farmer Bob's son built a track to walk his pet pig. The track goes around the pig pen. The pig pen is 15 feet long and 21 feet wide. If the pig walks all the way around the track, how many feet did he walk?
a)
72 feet
b)
36 feet
c)
36 square feet
32.
What is the perimeter of this rectangle?
a)
21 units
b)
12 units
c)
3 units
d)
None of the above.
33.
a)
Yes
b)
No
c)
Ellen is Susan's best friend so it doesn't matter.
d)
Who is Ellen?
34.
a)
33 in
b)
21 in
c)
3.14 in
d)
10.5 in
35.
a)
11.17 cm
b)
109.9 cm
c)
3 cm
d)
5.57 cm
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