WorksheetsChapter 7, 8, 10, and 11 Geometry
Total questions: 21
Worksheet time: 25mins
The ratio of Sam's age to Tom's age is 5:7. The sum of their ages is 108. How old is Tom?
66
52
63
58
An angle bisector of a triangle divides the opposite of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest possible lengths of the third side of the triangle.
7.5
9.6
11.1
13.7
An angle bisector of a triangle divides the opposite of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the shortest possible lengths of the third side of the triangle.
4.93
5.27
2.34
3.48
What similarity statement can you write relating the three triangles in the diagram?
MLJ~JKM~MLK
MLJ~KLM~KMJ
MLJ~MKL~JML
Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale.
4√5
21
80
√21
The shadow of a 15 foot flag lole is 20 ft long. The shadow of a building at the same time of day is 30 ft long. How tall is the building?
21
18
19.5
22.5
A fire ranger on a 125 foot-tall tower looks down at a 45° angle and spots fire. How many feet way from the base of the tower is the fire?
88.4
125.6
176.8
125
A person can see the top of a building at an angle of 65°. The is standing and has an eye level of 5 ft. How tall is the building to the nearest tenth of a foot?
110
112.2
113
113.6
A slide 8.5 ft long has a 35° angle of depression. To the nearest tenth of a foot, how far above the ground is the top of the slide?
6
4.3
4.9
5.5
Given a triangle with one side measuring 4 cm and another side measuring 6 cm, all of the following can be the length, in cm, of the third side EXCEPT:
11
5
3
9
7
Find the area of the circle that has a radius of 2.2 meters.
4.84 pi m^2
1.1 pi m^2
9.68 pi m^2
10.65 pi m^2
The circumference of a circle is 80 pi cm. Find the radius and the length of an arc of 160°
40 cm; 35.6 cm
80 cm; 711.1 cm
160 cm; 251.2 cm
40 cm; 111.6 cm
Find the circumference of a circle that has a diameter of 8.5 cm.
4.25 pi cm
12.75 pi cm
17 pi cm
8.5 pi cm
Two similar polygons have areas of 98 in^2 and 128 in^2 . If the perimeter of the smaller is 120 inches, what is the perimeter of the larger?
137.1
128
130
143.2
A postcard costs $0.75. Leslie wants to buy a poster that is a similar shape with a scale factor for the poster to the postcard of 5:2. How much should she expect to pay for the poster?
$4.32
$4.69
$5.23
$3.89
The area of two similar octagons are 72 in^2 and 128 in^2. Find their scale factor.
1/2
5/6
2/3
3/4
Find the volume of the rectangular prism.
580 ft^3
576 ft^3
488 ft^3
567 ft^3
The base of a pyramid is a square that has a side measure of 6 inches. The height of the pyramid is 4 inches. Find the volume.
48 in^3
72 in^3
144 in^3
151 in^3
A cup of with a diameter of 3 inches holds 16 ounces of water. About how much water will a similar cup hold if the diameter is 4 inches?
28 ounces
21 ounces
38 ounces
32 ounces
Find the scale factor of a prism with the surface area of 108 m^2 to a similar prism with the surface area of 243 m^2.
4:9
2:3
8:27
Cannot be Determined
Three balls are packaged in a cylindrical container as shown above. The balls just touch the top, bottom, and sides of the cylinder. The diameter of each ball is 11 cm. What percent of the container is occupied by the three balls?
50%
66.66%
63%
72%
