Two and Three Dimensional Geometry

Which of the following sets of three angle measures could be used to construct a triangle?

• 30⁰, 40⁰, 50⁰

• 50⁰, 60⁰, 70⁰

• 70⁰, 80⁰, 90⁰

• 45⁰, 45⁰, 45⁰

A large sprinkler is watering a circular area of 1600π square meters. What is the radius, in meters, of the circular area being watered by the sprinkler?

A parking lot in the shape of a parallelogram has a length of 300 meters and a width of 150 meters. A scale drawing of the parking lot has a length of 10 centimeters and a width of 5 centimeters, as shown. Which of the following is the scale used in the drawing?

• 1 centimeter = 10 meters

• 1 centimeter = 15 meters

• 1 centimeter = 30 meters

• 1 centimeter = 60 meters

One of the vertices of a square pyramid is labeled V in this diagram. What two-dimensional figure will result from slicing the pyramid perpendicular to its base through vertex V?

• square

• triangle

• pentagon

• trapezoid

A circle has a radius of 6 meters, as shown. Which of the following is closest to the circumference, in meters, of the circle? (Use 3.14 for π.)

• 18.8

• 37.7

• 59.2

• 113

What is the area, in square meters, of the circle?

Lines l, m, and n intersect each other, as shown in this diagram. Based on the angle measures in the diagram, what is the value of y?

• 36

• 52

• 88

• 92

A solid figure is composed of a cube and a right triangular prism. The figure and some of its dimensions are shown in this diagram. What is the volume of the figure?

• 560 cubic centimeters

• 704 cubic centimeters

• 728 cubic centimeters

• 896 cubic centimeters

A mirror in the shape of a circle is shown in this diagram. Based on the dimension in the diagram, what is the area, to the nearest tenth of a square inch, of the mirror? (Use 3.14 for π.)

• 56.5

• 254.3

• 798.6

• 1017.4

The length of a building is 60 feet. The length of the building on a scale drawing is 4 inches. Which ratio describes the scale of the drawing?

• 1 inch : 4 feet

• 1 inch : 15 feet

• 1 inch : 30 feet

• 1 inch : 60 feet