Angle Relationships
What is the measure of the matching angle if Angle A and Angle B are vertical angles and Angle A is 42 degrees?
42 degrees
Find the area of a circle with a radius of 10 inches using 3.14 for pi.
31 in2
What is the formula used to calculate the area of a circle with radius r?
A = πr2
What is te standard unit type used when measuring the interior space of a 3D figure?
cubic units
What is the drawing length of a playground if its actual length is 45 feet and the map scale is 1 inch = 5 feet?
9 inches
What is the missing angle measurement when you are given a 65 degree angle and told it is supplementary to another?
115 degrees
What is the line segment length from the center of a circular shape to its outer edge?
the radius
What is the total area of a rectangle that has a length of 10 inches and a width of 5 inches?
50 in2
What is the total volume of a right triangular prism with a base area of 15 cm2 and a width/height of 10 cm?
150 cm3
What is a number used as a multiplier to increase or decrease the size of an object or shape?
scale factor
What is the geometric term for two angles whose measurements add up to exactly 90 degrees?
complementary angles
What is the mathematical term for the total distance around the outside of a circular fountain?
circumference
What specific 2D shape is revealed when you make a vertical cross-section perpendicular to the base of a triangular pyramid?
a triangle
What is the width of a rectangular prism with a volume of 450 cubic inches, a height of 6 inches, and a length of 15 inches? (V = l x w x h)
5 inches
If a scale model prism has a calculated drawing volume of 60 cubic inches, what is its actual size given that every 2 cubic inches equals 100 feet?
3,000 feet
What is the algebraic value of x when complementary angles Angle A and Angle B are defined as (2x + 10) degrees and 40 degrees?
20
What is the total circumference, in feet, of a circular fountain that has a radius of 7 feet?
44 feet
What is the total surface area of a rectangular gift box that is 10 inches long, 5 inches wide, and 3 inches tall? (SA = 2(lw + lh + wh)
190 in2
What is the volume of a cylinder with a diameter of 50 inches and a height of 85 inches? (V = πr2h)
166,812.5 in3
A model blueprint shows a rectangular room measuring 4 inches by 6 inches. If the actual room measures 12 feet by 18 feet, what is the scale factor used for the drawing?
1 inch = 3 feet
If Angle A, Angle B, and Angle C are adjacent to each other on a straight line. Angle A is 45 degrees, Angle B is 55 degrees, and Angle C is equal to (4x - 10) degrees. What is the measurement of Angle C?
25 degrees
What is the total budget required to install a decorative stone border around a 10-foot radius fountain if the material costs 5.00 dollars per foot?
$314.00
What is the surface area of a cylinder with a radius of 35 inches and a height of 90 inches?
(SA = 2πr2h + 2πrh)
27,475 in2
What is the width of a triangular prism with a volume of 700 cubic inches, a height of 20 inches and a base of 10 inches? (V = 1/2 x b x h x w)
7 inches
An actual rectangular prism has a volume of 288 cubic feet. If the material weighs 5 pounds per cubic foot, what is the total weight of the prism?
1,440 pounds