5.1 Triangle Similarity
5.2-5.4 Right Triangles
7.1-7.3 Circles
6.2 Surface Area and Volume
100
The triangles are similar. Find the missing side and identify the similarity ratio.
x = 10
Similarity ratio: 2/1 or 2
100
Find the value of x. Leave answer in simplest radical form.
x = 3sqrt(10)
100
Find the arc length. Round to nearest tenths.
18.9 in.
100
Find the surface area of the sphere. Round to the nearest tenths.
452.4 square cm
200
Name all of the triangle similarity theorems.
AA, SSS, SAS
200
Find the value of n and y. Leave answers in simplest radical form.
n = 18
y = 9sqrt(3)
200
Find the area of the sector. Round to nearest tenths.
12.6 square units
200
Find the volume of the square pyramid.
256 feet cubed
300
In triangle TUV and triangle EFG, what is the value of x? Then, find the lengths of side VT and EG.
x = 7
VT = 2
EG = 10
300
Find the value of n. Leave answers in simplest radical form.
n = 7 sqrt(2)
300
Given that the circumference of a circle is 18 inches, what is the area in square feet? Use 3.14 for pi. Round answer to nearest tenths.
0.2 square feet
300
If the side lengths of this cube tripled, how many times bigger would the volume of the larger cube be?
27 times bigger.
400
In the diagram below, JE and DL intersect at F, and JL is parallel to DE. Are these triangles similar? If so, give the similarity statement AND similarity theorem. If not, explain why.
Triangle JLF ~ Triangle EDF
AA~ Theorem
400
Find sine, cosine, and tangent of angle R. Leave answers in simplest form.
8/17, 15/17, 8/15
400
Find the arc length if the central angle is 5pi/36 radians and the radius is 5 cm. Round to the nearest tenths.
2.2 cm
400
Find the volume of the cylinder. Round to nearest tenths.
502.4 cubic meters
500
A tree casts a 26 foot shadow. A nearby man who is 6 feet tall casts a 4 foot shadow. How tall is the tree?
39 feet tall
500
Solve for a and b. Round to nearest tenths.
a = 3.7
b = 3.3
500
Write the equation of a circle with a diameter that has endpoints at (11,13) and (8,17).
(x - 9.5)2 + (y - 15)2 = 6.25
500
Find the volume of the cone.
37.7 meters cubed