Geometry Definitions
Area
Volume
Trigonometry
Pythagorean Theorem
100
What term do we use to describe 3 points on the same line?
What is collinear.
100
What is the area of a room that measures 30ft. long by 40 ft. wide?
What is 1200 ft. squared
100
What is the formula for volume of a prism?
What is area of the base x height of the prism
100
If you are trying to find the missing hypotenuse side of a right triangle and you know the adjacent side, which trig ratio would you use? (Sine, cosine , or tangent)?
What is cosine
100
What is the formula for the pythagorean theorem?
a^2 + b^2 = c^2
200
What term do we use to describe 3 points on the same plane?
What is coplanar.
200
What is the area of a square carpet that is 8.5 ft long and 9 feet wide?
What is 76.5 ft. squared.
200
What is the volume of a rectangular prism with a base area of 15 in. squared and a height of 25 inches?
What is 375 inches cubed.
200
Which side length is always between the right angle and theta? (The angle you're given)
the adjacent side
200
What does the converse of the pythagorean theorem state?
If you know a^2 + b^2 = c^2, then your triangle is a right triangle.
300
What do we call a line with two endpoints?
What is a segment or line segment
300
What two pieces of information do we need to know in order to calculate the area of a triangle?
What is the length of the base and the height.
300
What is the volume of a triangular prism with a base area of 17 inches squared and a height of 14 inches?
What is 238 inches cubed.
300
Solve for the missing side. You know your opposite side is 7, you want to know your adjacent side, and you have an angle of 72 degrees.
x = 7/tan72
300
If your a = 4 and your b = 8, what does your hypotenuse equal?
Square root of 80 or 8.94.
400
What do we call a polygon with 4 sides?
What is a quadrilateral.
400
What is the formula for area of a triangle?
What is bh/2
400
What is the area of a triangular prism with a base of 6cm. a base height of 12 cm. and a length of 19 cm?
What is 684 cm. cubed.
400
Solve for the missing angle. You know your opposite side is 5 and your hypotenuse is 17.
x = sin(-1)5/17
400
If you know your a = 3 and your hypotenuse equals 12, what is your b?
square root of 135 or 11.62.
500
What do we call a triangle with 2 congruent sides?
What is an isosceles triangle
500
What is the area of a triangle with a base of 8 inches, a height of 17 inches, and a diagonal length of 4.
What is 68 inches squared.
500
You need to buy air conditioning units for three bedrooms in your house. Each air conditioning unit cools 1,200 ft. cubed. If each bedroom measures 20 feet long, 14 feet wide, and 10 feet high, how many air conditioning units do you need to buy?
What is 7
500
Solve for the missing side. You know your angle is 24 degrees, your adjacent side is 9 and you want to find your opposite side.
x = 9 * tan 24
500
If you have side lengths 10, 10, and 20, is this a right triangle?
No, 10^2 + 10^2 = 200 and 20^2 = 400. 400 does not equal 200.
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