Name:    RC3:  Polygons Circles and Three Dimensional Figures Geometry Simulation 2012

(Questions courtesy of Chesterfield County Public Schools)

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

A tiled floor consists of a tessellating pattern of two regular polygons.  A portion of the tiled floor is shown below. What two regular polygons are used in the tessellating pattern?
 a. Octagons and Squares b. Hexagons and Squares c. Pentagons and Squares d. Decagons and Squares

2.

In the drawing, ABCD is a parallelogram.  What must be the coordinates of the intersection of the diagonals? a. b. c. d. 3.

The exterior angle of a certain regular polygon is 60°.  How many sides does the polygon have?
 a. 3 b. 6 c. 10 d. 12

4.

A city park can be represented by trapezoid DEFG, where , and and represent hiking paths that span the diagonals of the park.

A planning team is interested in planting additional trees throughout the park and has measured some of the angles between the edges of the park and the sidewalks as shown in the diagram below to determine the best location for the trees. Using the information in the diagram, find .
 a. 24° b. 26° c. 36° d. 50°

5.

A spotlight, located at point S in the diagram below, illuminates parts of a circular pond.  Light is beamed at an angle of 25° from the spotlight and intercepts the circle such that the . Find .
 a. 50° b. 65° c. 90° d. 115°

6.

Rectangle QRST is shown. Which of the following would be a reason to claim that QRST is NOT a square?
 a. b. c. d. 7.

In square ABCD, and , where E is the intersection of the diagonals. What is the length of ?
 a. 11 b. 16 c. 22 d. 44

8. is inscribed in circle O, and passes through O. If , find a. 40° b. 80° c. 100° d. 120°

9.

A circle has center (-2, 3) and radius 4 units.  Which of the following is a point on the circle?
 a. (-2, 5) b. (-2, -1) c. (2, 7) d. (-6, 7)

10.

At Greg’s Greek Gourmet, diners have an opportunity to throw a dart at a dartboard to earn a discount on their meal.  The dartboard is a circle with radius of 8 cm and is divided into two sectors.  Darts that land in the unshaded sector get a free meal, and darts that land in the shaded sector get \$5 off. The dartboard is modeled by circle O below. If , find the area of the dartboard that corresponds to a \$5 discount.
 a. b. c. d. 11.

The coordinates of the endpoints of a diameter of a circle are (6, 2) and (0, -2).  Which of the following is an equation of the circle?
 a. b. c. d. 12.

In circle P, is a diameter and is perpendicular to at E.  If PD = 7 and AE = 4, find CE. a. b. c. 5.5 d. 7

13.

Lea made two candles in the shape of right rectangular prisms.  The first candle is 15 cm high, 8 cm long, and 8 cm wide.  The second candle is 5 cm taller but has the same length and width.  How much additional wax was needed to make the taller candle?
 a. b. c. d. 14.

A tepee with a dirt floor in the shape of a right cone has a slant height of 26 feet and a radius of 12.5 feet. Approximately how much canvas would be needed to cover the tepee? a. 3730 sq ft _ b. 4254 sq ft c. 1511 sq ft d. 1021 sq ft

15.

The ratio between the volumes of two cubes is 125 to 216. What is the ratio between their respective surface areas?
 a. 5:6 b. 25:36 c. 125:216 d. 250:432

16.

Which of the following would triple the volume of the Egyptian square-based Pyramid below? a. add 3 to each dimension of the Pyramid b. multiply every dimension of the Pyramid by 3 c. multiply only the height by 3 d. add 3 to the slant height

17.

In circle P, and intersect at TTA=10, TC=8, CD=12, and AB=x+2.  Find AB. a. 4 b. 6 c. 9.6 d. 15

18. a. Figures 1 and 2 b. Figures 2 and 3 c. Figures 3 and 4 d. Figures 1 and 4