Geometry 2010–2011 Semester 2 Exam — Released

Note: Diagrams on this exam are not necessarily drawn to scale.

  1. A circle has a circumference of 36π centimeters. What is the radius of the circle?

(A)6 cm

(B)12 cm

(C)18 cm

(D)36 cm

  1. In the figure below, the adjacent sides of the polygon are perpendicular.

What is the perimeter of the polygon?

(A)93 cm

(B)109 cm

(C)116 cm

(D)121 cm

  1. Determine the area of the right triangular garden.

(A)18 m2

(B)30 m2

(C)60 m2

(D)65 m2

  1. A framed picture is shown below.

What is the area of the picture (without the frame)?

(A)60 in2

(B)80 in2

(C)96 in2

(D)192 in2

  1. What is the best description of in relation to the pyramid?

(A)base edge

(B)slant height

(C)lateral edge

(D)altitude

  1. The volume of a cylinder is given by the formula .

What is the volume of the cylinder?

(A)36π cm3

(B)48π cm3

(C)72π cm3

(D)192π cm3

  1. The surface area of a square pyramid is given by the formula .

What is the surface area of the pyramid?

(A)285 cm2

(B)300 cm2

(C)340 cm2

(D)360 cm2

  1. The surface area of a cone is given by the formula .

What is the surface area of the cone?

(A)24π cm2

(B)21π cm2

(C)18π cm2

(D)9π cm2

  1. A small spherical ball has a diameter of
    6 centimeters. What is the surface area of the ball?

(A)144π cm2

(B)48π cm2

(C)36π cm2

(D)24π cm2

  1. Water is poured into a cylindrical container until it is half full.

What is the volume of the water?

(A)14π cm3

(B)20π cm3

(C)80π cm3

(D)160π cm3

  1. Two similar pentagons have a scale factor of 3:4. The larger pentagon has an area of 32 square feet.

What is the area of the smaller pentagon?

(A)8 ft2

(B)12 ft2

(C)18 ft2

(D)24 ft2

  1. A pizza parlor has two different sizes of pizza. The smaller one has a diameter of 10 inches and the larger one has a diameter of 16 inches.

What is the ratio of the area of the smaller pizza to the area of the larger pizza?

(A)5:8

(B)10:16

(C)25:64

(D)125:512

  1. Which accurately describes a radius?

(A)A line that intersects a circle at two points.

(B)A line that intersects a circle at exactly one point.

(C)A segment whose endpoints are points on the circle.

(D)A segment having an endpoint on the circle and an endpoint at the center of the circle.

  1. Use circle C.

Which is a diameter?

(A)

(B)

(C)

(D)

  1. Use circle O.

Given , what is ?

(A)41°

(B)82°

(C)98°

(D)164°

  1. Use circle J.

What is the value of x?

(A)9

(B)21

(C)27

(D)45

  1. In circle N, , , and .

What is the value of x?

(A)8.25

(B)9.25

(C)17

(D)18

  1. In the figure below, and .

What is ?

(A)31°

(B)62°

(C)64°

(D)97°

  1. Two tangents are drawn from point D to circle A.

What conclusion is guaranteed by this diagram?

(A)AD = BD

(B)AC = DC

(C)

(D) is a right triangle.

  1. Points B, D, F, and H are points of tangency to circle J. AB = 17, CE = 42,
    EG = 23, and GA = 29.

What is the value of x?

(A)14

(B)17

(C)25

(D)31

  1. In circle C, UW = XZ, VW = 2x + 14, and XY = 6x + 2.

What is the value of x?

(A)5

(B)4

(C)3

(D)2

  1. is a diameter of circle C. ,, and .

What is the value of x?

(A)22

(B)30

(C)32.5

(D)43.5

  1. Determine the singletransformation that has mapped to .

(A)translation

(B)rotation

(C)dilation

(D)reflection

  1. How many lines of symmetry does a square have?

(A)0

(B)1

(C)2

(D)4

  1. Which pair of figures is similarbut NOT congruent?

(A)

(B)

(C)

(D)

  1. The figures below are similar.

What is the scale factor of ABCDE to VWXYZ?

(A)3:2

(B)3:6

(C)4:2

(D)4:3

  1. Two windows are similar rectangles. Their scale factor is 3:4. The width of the smaller window is 60 centimeters and the perimeter of the larger window is
    400 centimeters.

What is the lengthx?

(A)45 cm

(B)80 cm

(C)90 cm

(D)100 cm

  1. The measures of the angles of a triangle have the ratio 1:3:5. What is the measure of the largest angle?

(A)50°

(B)60°

(C)90°

(D)100°

  1. A pipe that is 8 feet long is cut into two pieces whose lengths are in the ratio 1:3. What is the length of the longer piece?

(A)3 ft

(B)4 ft

(C)6 ft

(D)7 ft

  1. A student notices that the shadows of a sign and a tree lie along the same line and end at the same point. The height of the sign is 2 meters and its shadow is 3 meters in length. The distance from the base of the sign to the base of the tree is 12 meters.

How tall is the tree?

(A)8 m

(B)10 m

(C)11 m

(D)14 m

  1. As shown in the figure below, Jeremy places a mirror on flat ground, then stands so that the top of a nearby tree is visible in the mirror.

What is the height of the tree?

(A)20 ft

(B)29 ft

(C)45 ft

(D)51 ft

  1. Use the figures below.

What measure for would make ?

(A)34°

(B)56°

(C)68°

(D)112°

  1. In triangle QRS, bisects.

What is the value of w?

(A)7

(B)8

(C)9

(D)12

  1. In triangle PQR, .

What is the value of x?

(A)3

(B)6

(C)15

(D)18

  1. What is the geometric mean of 4 and 16?

(A)8

(B)10

(C)

(D)

  1. Fred stands at corner A of a rectangular field. He wants to walk to the opposite corner C.

What is the shortest distance from A to C?

(A)7 yd

(B)12 yd

(C)13 yd

(D)17 yd

  1. A rectangular prism has dimensions as shown.

What is the length of the diagonal from A to B?

(A)14 cm

(B)25 cm

(C)32 cm

(D)41 cm

  1. Use the dimensions given in the diagram below.

What is the value of x?

(A)3

(B)5

(C)12

(D)17

  1. The three sides of a triangle are
    inches, inches, and inches. Which is a classification for this triangle?

(A)acute

(B)obtuse

(C)right

(D)scalene

  1. Use the triangle below.

What is the value of d?

(A)12

(B)24

(C)

(D)

  1. Use the dimensions given in the diagram.

What is the value of y?

(A)4

(B)

(C)

(D)8

  1. The square below has diagonal length of meters.

What is the length of a side?

(A)5 m

(B)10 m

(C) m

(D) m

  1. Use the table and the dimensions given in the diagram.
/ sin  / cos  / tan 
10° / .1736 / .9848 / .1763
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7600 / .8391

What is the approximate value of r?

(A)174

(B)342

(C)500

(D)985

  1. Use the dimensions given in the right triangle below.

What is the tangent of ?

(A)

(B)

(C)

(D)

  1. Use the table and the dimensions given in the diagram below.
/ sin  / cos  / tan 
10° / .1736 / .9848 / .1763
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7600 / .8391

What is the kite’s approximate angle of elevation?

(A)10°

(B)20°

(C)30°

(D)40°

  1. Use the dimensions given in the diagram.

Which equation would be used to find the length of x?

(A)

(B)

(C)

(D)

  1. Use the table and the dimensions given in the diagram below.
/ sin  / cos  / tan 
10° / .1736 / .9848 / .1763
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7600 / .8391

What is the approximate height h of the structure?

(A) 50 yd

(B) 58 yd

(C) 83 yd

(D) 87 yd

  1. In circle D, is tangent at A, and is tangent at C.

What is the length of ?

(A)23

(B)17

(C)16

(D)15

2010–20111GO ON

Clark County School DistrictRevised 08/02/2011

Geometry 2010–2011 Semester 2 Exam — Released

Note: Diagrams on this exam are not necessarily drawn to scale.

  1. In circle D, is tangent at A, and is tangent at C.

What is the value of x?

(A)2

(B)4

(C)6

(D)12

  1. In the figure below, and are secants of the circle.

What is DE?

(A)15 m

(B)18 m

(C)29 m

(D)32 m

2010–20111GO ON

Clark County School DistrictRevised 08/02/2011

Geometry 2010–2011 Semester 2 Exam — Released

Free Response

  1. This question obsolete as of 2011–2012. See new test specifications and practice questions.
  2. This question obsolete as of 2011–2012. See new test specifications and practice questions.
  3. This question obsolete as of 2011–2012. See new test specifications and practice questions.

2010–20111GO ON

Clark County School DistrictRevised 08/02/2011