Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. A tire has a radius of 15 inches. What is the approximate circumference, in inches, of the tire?
  2. 47 in.
  3. 94 in.
  4. 188 in.
  5. 707 in.
  6. In the figure below, adjacent sides of the polygon are perpendicular.

What is the perimeter of the figure?

  1. 77
  2. 82
  3. 89
  4. 96
  1. The length of a rectangular patio is
    32 feet. Its area is 800 square feet. What is the perimeter of the patio in feet?
  2. 25ft
  3. 57ft
  4. 114ft
  5. 368ft

  1. A rectangular garden is to be edged with decorative brick as shown by the shaded region in the figure. The flower garden is 4 feet by 12 feet. The trapezoids are
    2 feet high.

What is the area of the decorative edge (the shaded region) in square feet?

  1. 20ft2
  2. 26ft2
  3. 40ft2
  4. 48ft2

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. Given the figure below:

What is the best description of ?

  1. altitude
  2. base edge
  3. lateral edge
  4. slant height
  1. The surface area of a cylinder is 2(Area of Base) + (Circumference of the Base)height.

In the cylinder below, the radius is 4centimeters and surface area is 72square centimeters.

What is the height of the cylinder?

  1. 4 cm
  2. 5 cm
  3. 6 cm
  4. 9 cm

  1. A regular pyramid has height of 6 inches and the measure of the base edge is 7 inches.

Volume = (Area of Base)  height

What is the volume of the pyramid?

  1. 49 in.3
  2. 98 in.3
  3. 147 in.3
  4. 294 in.3
  1. What is the volumeof the cone below?

Volume = (Area of Base)  height

  1. 192π in.3
  2. 96π in.3
  3. 64π in.3
  4. 48π in.3

  1. A group of students wants to make a fabric toy ball to donate to the canine rescue. The diameter of the ball is 3 inches.

Surface area = 4  (Area of a Great Circle).

Approximately how many square inches of fabric will they need for each ball?

  1. 29 in.2
  2. 57 in.2
  3. 76 in.2
  4. 114 in.2
  1. A cereal box is 18 inches by 3 inches by 12 inches. After breakfast, the box is one-third full.

Volume = (Area of Base)height

How many cubic inches of cereal are left inside?

  1. 36 in.3
  2. 72 in.3
  3. 216 in.3
  4. 648 in.3

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. Two similar rectangular prisms have a scale factor of 4:1. The smaller prism has a volume of 6cubic centimeters.

What is the volume of the larger prism in cubic centimeters?

  1. 24cm3
  2. 96cm3
  3. 384cm3
  4. 1536cm3
  1. A pizza parlor has two different sizes of circular pizzas. The smaller one has a diameter of 12 inches and the larger one has a diameter of 20 inches.

What is the ratio of their areas?

  1. 9:25
  2. 3:5

  1. Which accurately describes a tangent?
  2. A segment whose endpoints are on the circle.
  3. A line that intersects a circle in two points and passes through the center of the circle.
  4. A segment having an endpoint on the circle and an endpoint at the center of the circle.
  5. A line that intersects a circle at exactly one point.
  6. Use the figure below.

Which of the following represent a secant?


  1. In circleS below,

The , what is the measure of ?

  1. 16°
  2. 32°
  3. 64°
  4. 128°
  1. Use circle J below.

What is the value of x?

  1. 78
  2. 54
  3. 50
  4. 27

  1. In , , , and .

What is the value of x?

  1. 20
  2. 54
  3. 131
  4. 350
  1. In the figure below, and ,

What is ?

  1. 15
  2. 30
  3. 45
  4. 60

  1. Two tangents are drawn from point P to circle H.

What conclusion is guaranteed by this diagram?

  1. ΔHNR is a right triangle.
  2. HNPR is a rhombus.
  3. HNPR is a kite.
  1. All of the segments shown in the figure below are tangents to.

Given the measures in the figure above, what is the perimeter of quadrilateral ABCD?

  1. 23 cm
  2. 40 cm
  3. 46 cm
  4. 52 cm

  1. In , , , , and .

What is CN?

  1. 6
  2. 13
  3. 22
  4. 26

  1. is the diameter of , , and .

What is the value of x?

  1. 4
  2. 6
  1. Determine the transformation that has mapped Δ to Δ.
  1. dilation
  2. reflection
  3. rotation
  4. translation

  1. How many lines of symmetry does a square have?
  2. 0
  3. 1
  4. 2
  5. 4
  6. Which figure contains two similar triangles that are not congruent?

  1. The following figures are similar.

What is the scale factor of WXYZ to ABCD?

  1. 1 to 2
  2. 3 to 1
  3. 3 to 2
  4. 4 to 3
  1. Two plasma screen TVs are similar rectangles. Their scale factor is 8:5. The perimeter of the smaller TV is 70 inches. The lengths of the sides of the larger TV are represented by the variable expressions shown in the diagram below.

What is the value of x?

  1. 8
  2. 12
  3. 16
  4. 24

  1. The measures of the angles of a triangle have the ratio 4:6:7. What type of triangle is it?
  2. acute
  3. isosceles
  4. obtuse
  5. right
  6. The perimeter of a right triangle is
    90feet. The ratio of the legs is 5:12. What is the length of the longest leg of the triangle?
  7. 12 ft
  8. 32 ft
  9. 36 ft
  10. 90 ft
  11. Pat measures the length of the shadow of a tree to be 54 feet long. At the same time he measures his own shadow to be 12 feet long and his height to be 5 feet. How tall is the tree in feet?
  12. feet
  13. 25 feet
  14. feet
  15. 20 feet

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. Kris places a mirror on the ground. She stands so that she can see the reflection of the top of a flagpole in the mirror.

What is the heighthof the flagpole in meters?

  1. 10 m
  2. 12 m
  3. 18 m
  4. 20 m
  1. Given the two triangles pictured below.

What measure for would make ?

  1. 10
  2. 9

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. In the triangle below, .

What is the value of z?

  1. 6
  2. 12
  3. 13.5
  4. 21.5
  1. In the triangle below, .

What is the value of x?

  1. 9
  2. 10

  1. What is the geometric mean of 16 and 36?
  2. 9
  3. 10
  4. 24
  5. 26
  6. Nan stands at the corner of the rectangular driveway shown below.

How far must Nanwalk diagonally across the driveway (A to B)?

  1. 7ft
  2. 14ft
  3. 35ft
  4. 49ft

  1. A box is shown below.

What is AB?

  1. 26 in.
  2. 38 in.
  3. in.
  4. in.

  1. Use the dimensions given in the diagram below.

What is the value of x?

  1. 12
  2. 20
  3. 22
  4. 30
  1. The three sides of a triangle arecentimeters, centimeters, and centimeters. What is the best description for this triangle?
  2. acute triangle
  3. equiangular triangle
  4. obtuse triangle
  5. right triangle

  1. A jet is flying 7 miles above the ground. The pilot spots an airport as shown below.

What is the distance d from the plane to the airport?

  1. mi
  2. mi
  3. 7 mi
  4. 14 mi
  1. Use the dimensions given in the diagram below.

What is the value of y?


  1. In rectangleABCD,BD = 12 and . What is the lengthof the longer side of the rectangle?
  2. 6
  3. 12
  4. Use the table and the dimensions given in the diagram below.
/ sin  / cos  / tan 
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7660 / .8391
50° / .7660 / .6428 / 1.1918

What is the value of r?

  1. 11.918
  2. 8.391
  3. 7.660
  4. 6.428

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

What is the cosine of?

  1. Use the table and the dimensions given in the diagram below.
/ sin  / cos  / tan 
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7660 / .8391
50° / .7660 / .6428 / 1.1918

What is the approximate angle of descent?

  1. 50°
  2. 40°
  3. 30°
  4. 20°

  1. Use the dimensions given in the diagram below.

Which equation would be used to find the distancehfrom the hot air balloon to the ground?


  1. Use the table and the dimensions given in the diagram below.
/ sin  / cos  / tan 
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7660 / .8391
50° / .7660 / .6428 / 1.1918

What is the approximate length d of the kite string?

  1. 256ft
  2. 200ft
  3. 168ft
  4. 100ft

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

What is the length of ?

  1. 14
  2. 15
  3. 24
  4. 26
  1. In the figure below, is tangent to at A and is tangent to
    at C.

What is the value of x?

  1. 2
  2. 3
  3. 4
  4. 5

  1. In the figure below, is tangent to the circle at R and is a secant.

What is the value of x?

  1. 48 cm
  2. 84 cm
  3. cm
  4. cm
  1. The figure below is a regular hexagon with a side length of 8 centimeters.

What is the probability that a randomly thrown dart will land in the shaded region?


  1. The concentric circles below have radii of 4 centimeters, 10 centimeters, and
    18centimeters.

What is the probability that arandomly thrown dart will land in the white region, assuming it hits the board?

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. Inthe square below, all adjacent circles are congruent, externally tangent to each other, and outer circles are tangent to the square.

What is the area of the unshaded region?

  1. cm2
  2. cm2
  3. cm2
  4. cm2
  1. A snow cone consisting of a cone and a half-sphere is shown below. The base of the cone is a great circle on the sphere.

Surface area of a cone = (Area of Base) + π  radius  slant height

Surface area of a sphere = 4  (Area of a Great Circle)

What is the surface area of the three-dimensional object in square centimeters?

  1. 30π cm2
  2. 33π cm2
  3. 39πcm2
  4. 42πcm2

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. A glass block is in the shape of a rectangular prism. It has a hole passing through it also in the shape of a rectangular prism.

What is the volume of glass needed in cubic inches?

  1. 80 in.3
  2. 252 in.3
  3. 720 in.3
  4. 972 in.3
  1. Use the dimensions given in the diagram of an isosceles trapezoid below.

What is the area of the trapezoid?


  1. Given a 30°-60°-90° triangle, what is the cosine of the 60° angle?
  2. A circle with a pointis centered at . What is the equation of the circle?

`2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Note: Diagrams and figures on this assessment are not necessarily drawn to scale.

DRAFT

  1. The room shown below is to havecrown molding installed around the ceiling’s perimeter.

Approximately how many feet of moldingare needed to complete the room?

  1. 40ft
  2. 52ft
  3. 54ft
  4. 60ft
  1. Alighthouse keeper spots a boat moving away from the lighthouse, first at 30° and then at 50°. The height of the light house shown below is 100 feet above sea level.

/ sin  / cos  / tan 
20° / .3420 / .9397 / .3640
30° / .5000 / .8660 / .5774
40° / .6428 / .7660 / .8391
50° / .7660 / .6428 / 1.1918

What is the approximate distance d the boat traveled?

  1. 22ft
  2. 61ft
  3. 72ft
  4. 89ft

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Free Response

DRAFT

  1. Given with right angle at C and altitude , draw the picture and prove.

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Geometry HSemester 2 Practice Exam

Free Response

DRAFT

  1. Find the length of the altitude of an isosceles triangle with vertex angle 120 and a base length of
    xcentimeters. Give answer in simplified radical form in terms of x.
  1. Explain how to find the area of a regular hexagon if only the length of the apothem is known.

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009