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.

mc001-1.jpg
      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?

mc002-1.jpg

a.
mc002-2.jpg
b.
mc002-3.jpg
c.
mc002-4.jpg
d.
mc002-5.jpg
 

 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 mc004-1.jpg, and mc004-2.jpg and mc004-3.jpg 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.

mc004-4.jpg

      Using the information in the diagram, find mc004-5.jpg.
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 mc005-1.jpg.

mc005-2.jpg

      Find mc005-3.jpg.
a.
50°
b.
65°
c.
90°
d.
115°
 

 6. 

Rectangle QRST is shown.


mc006-1.jpg

     
Which of the following would be a reason to claim that QRST is NOT a square?
a.
mc006-2.jpg
b.
mc006-3.jpg
c.
mc006-4.jpg
d.
mc006-5.jpg
 

 7. 

In square ABCD, mc007-1.jpg and mc007-2.jpg, where E is the intersection of the diagonals.

             mc007-3.jpg

      What is the length ofmc007-4.jpg?
a.
11
b.
16
c.
22
d.
44
 

 8. 

mc008-1.jpg is inscribed in circle O, and mc008-2.jpg passes through O.                                                                                                mc008-3.jpg                                                                             
If mc008-4.jpg, find mc008-5.jpg
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.
           mc010-1.jpg
If mc010-2.jpg, find the area of the dartboard that corresponds to a $5 discount. 
a.
mc010-3.jpg
b.
mc010-4.jpg
c.
mc010-5.jpg
d.
mc010-6.jpg
 

 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.
mc011-1.jpg
b.
mc011-2.jpg
c.
mc011-3.jpg
d.
mc011-4.jpg
 

 12. 

In circle P, mc012-1.jpgis a diameter and mc012-2.jpgis perpendicular to mc012-3.jpgat E.  If PD = 7 and AE = 4, find CE.
                   mc012-4.jpg
a.
mc012-5.jpg
b.
mc012-6.jpg
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.
mc013-1.jpg
b.
mc013-2.jpg
c.
mc013-3.jpg
d.
mc013-4.jpg
 

 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?

                                mc014-1.jpg

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?


mc016-1.jpg

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, mc017-1.jpgand mc017-2.jpgintersect at TTA=10, TC=8, CD=12, and AB=x+2.  Find AB.
mc017-3.jpg
     
a.
4     
b.
6
c.
9.6
d.
15
 

 18. 


mc018-1.jpg
a.
Figures 1 and 2
b.
Figures 2 and 3
c.
Figures 3 and 4
d.
Figures 1 and 4
 



 
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