Intuitive GeometrySemester 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. 707 in.
  3. 188 in.
  4. 94 in.
  5. 47 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. Given the figure below:

What is the best description of ?

  1. altitude
  2. base edge
  3. lateral edge
  4. slant height
  1. What is the volume, in cubic inches, of the cone below?
  1. 48π in.3
  2. 64π in.3
  3. 96π in.3
  4. 192πin.3

  1. A cereal box is 18 inches by 3 inches by 12 inches. After breakfast, the box is one-third full.

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

  1. Use the figure below.

Which of the following represent a secant?


  1. In the circleS below,

The , what is the measure of ?

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

What is the value of x?

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

  1. Determine the transformation that has mapped Δ to Δ.
  1. translation
  2. rotation
  3. reflection
  4. dilation
  1. How many lines of symmetry does a square have?
  2. 0
  3. 1
  4. 2
  5. 4

  1. 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. Given the two triangles pictured below.

What measure for would make ?

  1. 35°
  2. 55°
  3. 90°
  4. 145°

  1. Pat measures the length of the shadow of a tree to be 54feet long. At the same time he measures his own shadow to be 12feet long and his height to be 5feet. How tall is the tree in feet?
  1. ft
  2. 25ft
  3. ft
  4. 20ft

  1. 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

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 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. 10m
  2. 12m
  3. 18m
  4. 20m

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

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

DRAFT

  1. The three sides of a triangle are 4centimeters, 7centimeters, and
    9centimeters. What is the best description for this triangle?
  2. acute triangle
  3. equiangular triangle
  4. right triangle
  5. obtuse 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. 7 mi
  2. mi
  3. mi
  4. 14mi

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

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

DRAFT

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

What is the cosine of?

  1. Lulu needs to wallpaper four walls that are each 10 feet tall. A roll of wallpaper will cover
    60 square feet.

Lateral surface area = (Perimeterof Base)  height

How many rolls of wallpaper should Lulu buy?

  1. 12 rolls
  2. 45 rolls
  3. 50 rolls
  4. 70 rolls

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

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

DRAFT

  1. In a right triangle, what is term that describes the shortest side?
  2. perpendicular bisector
  3. hypotenuse
  4. median
  5. leg
  6. Given the following right triangle:

What is the value of x?

  1. 32
  2. 23
  3. 16
  4. 8
  1. is a right triangle.

What is the value of x?

  1. 12
  2. 74

  1. The two rectangles below are similar.

What is the value of x?

  1. 5.4
  2. 6.7
  3. 15
  4. 30
  1. The parallelograms below are similar.

What is the value of x?

  1. 3
  2. 4
  3. 5
  4. 7

  1. The figure below is a parallelogram.

What is the area of the parallelogram in square cm?

  1. 135 cm2
  2. 90 cm2
  3. 54 cm2
  4. 45 cm2
  1. The triangle below is a right triangle.

What is the area of the triangle?

  1. 24 cm2
  2. 30 cm2
  3. 60 cm2
  4. 65 cm2
  1. Given ABCDE ~ FGHIJ, which would be true?

  1. Given the similar figures below, with the measurements indicated:

What is the scale factor of ABCDE to FGHIJ?

  1. 2 to 1
  2. 3 to 1
  3. 4 to 1
  4. 5 to 1
  1. The three sides of a triangle are centimeters, centimeters, and centimeters. What is the best description for this triangle?
  2. acute triangle
  3. equiangular triangle
  4. right triangle
  5. obtuse triangle

  1. A 70-foot wire runs from the ground to a point on a telephone pole. The wire makes an angle of 30° with the ground, as shown below. The telephone worker climbs up from the ground to the where the wire is attached to the pole.

How far does the worker climb?

  1. 35 feet
  2. 35 feet
  3. 35 feet
  4. 60 feet

  1. A balloon is attached to a string as shown in the figure below.The string makes an angle of 60° with the ground. The length of the string is 140 feet.

What is the height h of the balloon above the ground, in feet?

  1. 140ft
  2. 70ft
  3. ft
  4. ft
  1. In the figure below, which of the following represents a chord?

  1. Which circle displays an inscribed angle?

  1. The figure below shows a circular washer. The radius of the opening is
    3 millimeters.

What is the area of the washer?

  1. 64π mm2
  2. 55π mm2
  3. 25π mm2
  4. 16π mm2
  1. Which of the following could represent the surface area of a sphere?
  2. 9π cm
  3. 9π cm2
  4. 9π cm3
  5. 9π cm4
  6. What is the distance between two points on a circle through the center?
  7. pi
  8. radius
  9. circumference
  10. diameter

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

What is the area of the figure in square feet?

  1. 44ft2
  2. 64ft2
  3. 76ft2
  4. 120ft2
  1. Monica is putting a fence along the edge of a rectangular garden. The garden is 12 feet long and x feet wide as shown below.

If the garden has a perimeter of 60 feet, what is the value of x?

  1. 5
  2. 18
  3. 36
  4. 48

  1. The longer leg of a 30°-60°-90° triangle is . What is the length of the hypotenuse?
  2. 8
  3. 16

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

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

DRAFT

  1. The figure below represents a rectangular prism.

Surface Area = (Perimeter of Base)  height + 2  (Area of Base)

What is the surface area of the prism?

  1. 90 square cm
  2. 144 square cm
  3. 180 square cm
  4. 288 square cm

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

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

DRAFT

  1. What type of triangle is always similar to another triangle of the same type?
  2. equilateral
  3. isosceles
  4. scalene
  5. vertical

  1. In the picture below .

Which property shows the triangles are similar?

  1. angle-angle similarity
  2. side-side-side similarity
  3. side-angle-side similarity
  4. side-side-angle similarity

  1. In the right triangle below, what is the sine of ?
  1. Circle A has a radius of 12centimeters and a central angle of .

What is the length of ?

  1. cm
  2. cm
  3. cm
  4. cm

  1. Circle A has a radius of 6centimeters.

What is the area of the shaded sector, in square centimeters?

  1. cm2
  2. cm2
  3. cm2
  4. cm2
  1. What is the area of a circle with a diameter of 10?

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

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

DRAFT

  1. is a diameter of circle Q as shown below.

Since , what is ?

  1. Use the circle below.

What is the measure of ?


  1. Use the circle below.

What is the measure of ?

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

Free Response

DRAFT

  1. Draw and label a rectangle, a rhombus, and anisosceles triangle, each with a perimeter of 36 units. Label all dimensions needed to find the perimeter, with appropriate numerical values.

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

Free Response

DRAFT

  1. ∆XYZ is a right triangle with Y as the right angle,XZ = 5, and YZ =.
  2. Sketch and label a diagram.
  1. Show all steps to find the length of the missing side, include the steps for simplifying the answer.
  1. What is the value of each lettered angle or arc in the circle below? and are diameters.

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive GeometrySemester 2 Practice Exam

Free Response

DRAFT

a = ______

b = ______

c = ______

d = ______

e = ______

f = ______

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009