Intuitive Geometry 2008–2009 Semester 2 Assessment — Released

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

DRAFT

  1. A circular steering wheel has a radius of 7 inches. What is the approximate circumference of the steering wheel in inches?
  2. 22 inches
  3. 44 inches
  4. 88 inches
  5. 154 inches
  6. In the figure below, the adjacent sides of the polygon are perpendicular.

What is the perimeter of the figure?

  1. 58
  2. 77
  3. 80
  4. 91

  1. Given the figure below,

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

  1. base edge
  2. height
  3. lateral edge
  4. slant height
  1. What is the volume, in cubic inches, of the cone below?
  1. 18πin.3
  2. 27π in.3
  3. 81πin.3
  4. 108πin.3

  1. A cereal box is 10 inches by 2 inches by 15 inches. After breakfast, the box is half full.

How many cubic inches of cereal are left inside?

  1. 75 in.3
  2. 150 in.3
  3. 300 in.3
  4. 600 in.3
  1. Use the figure below.

Which represents a chord?


  1. Use circle Obelow.

If , what is the measure
of?

  1. 43°
  2. 86°
  3. 90°
  4. 172°
  1. Usecircle J below.

What is the value of x?

  1. 47
  2. 81
  3. 85
  4. 92

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

  1. Which figure contains two congruent triangles?

  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. 30°
  2. 60°
  3. 90°
  4. 120°

  1. Mort measures the length of the shadow of a tree to be 35 feet long. At the same time his shadow measures 10 feet long and his height is 6 feet. How many feet tall is the tree?
  1. 18 feet
  2. 21 feet
  3. 32 feet
  4. 58 feet
  1. Gina stands at the corner of the rectangular garden shown below.

How far must Gina walk if she walks diagonally through the garden (A to B)?

  1. 5ft
  2. 10 ft
  3. 15 ft
  4. 25 ft

  1. Bernard places a mirror on the ground and then stands so that he can see the reflection of the top of a flagpole in the mirror.

What is the height hof the flagpole in feet?

  1. 12 ft
  2. 22 ft
  3. 33 ft
  4. 66 ft
  1. The three sides of a triangle are 5 cm,
    6 cm, and 10 cm. What is the best description for this triangle?
  2. acute triangle
  3. equiangular triangle
  4. obtuse triangle
  5. right triangle

  1. A seagull in a palm tree spots a hot dog on the beach.

How far is the seagull from the hot dog?

  1. 9 ft
  2. ft
  3. ft
  4. 36 ft

  1. Use the dimensions given in the diagram of a right triangle below.

What is the tangent of?

  1. John needs to paint four walls that are each 8 feet tall. A can of paint will cover 140 square feet.

How many cans of paint should John buy?

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

  1. In a right triangle, what is the name of the longest side?
  2. leg
  3. median
  4. altitude
  5. hypotenuse
  6. Given the following right triangle:

What is the value of x?

  1. 3
  2. 9
  3. 27
  4. 81

  1. is a right triangle with right angle at C.

What is the value of x?

  1. 13
  2. 97
  1. The two rectangles below are similar.

What is the value of x?

  1. 3
  2. 6
  3. 7
  4. 9

  1. The parallelograms below are similar.

What is the value of x?

  1. 1
  2. 2
  3. 3
  4. 4
  1. The figure below is a parallelogram.

What is the area of the parallelogram?

  1. 30 cm2
  2. 35 cm2
  3. 60 cm2
  4. 84 cm2

  1. The triangle below is a right triangle.

What is the area of the triangle?

  1. 120cm2
  2. 130cm2
  3. 240cm2
  4. 260cm2
  1. Given ABCD ~ EFGH, which statement is true?

  1. Use the similar figures below.

What is the scale factor of ABCD to EFGH?

  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 4centimeters. What is the best description for this triangle?
  2. acute triangle
  3. equiangular triangle
  4. obtuse triangle
  5. right triangle

  1. A wire is attached 35 feet above the ground to a telephone pole. The wire makes an angle of 45° with the ground, as shown below.

What is the length of the wire?

  1. 35 feet
  2. 35 feet
  3. 35 feet
  4. 70 feet

  1. A kite is on a string as shown in the figure below. The string makes an angle of 60° with the ground. The length of the string is 120 feet.

What is the heighthof the kite off the ground in feet?

  1. 60 ft
  2. 120 ft
  3. 60 ft
  4. 120 ft

  1. Use figure below.

Which represents a secant?


  1. Which diagram displays a central angle?

  1. The figure below shows a round plate that is white with a 2-inch gray border around it.

What is the area of the gray border?

  1. 4π in.2
  2. 12π in.2
  3. 20π in.2
  4. 36π in.2
  1. Which of the following could represent the volume of a sphere?
  2. 9π cm
  3. 9π cm2
  4. 9π cm3
  5. 9π cm4
  6. What is the distance from the center of a circle to any point on the circle called?
  7. circumference
  8. diameter
  9. pi
  10. radius

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

What is the perimeter of the figure?

  1. 64 ft
  2. 44 ft
  3. 40 ft
  4. 29 ft
  1. Martin is putting tape along the edge of a rectangle to make a game court on his driveway. The rectangle is 12 feet long and x feet wide as shown below.

The rectangle has a perimeter of 40 feet, which equation below is true?

  1. 12x = 40
  2. 24x = 40
  3. x + 12 = 40
  4. 2x + 24 = 40

  1. The leg of a 45°-45°-90° triangle is 8. What is the length of the hypotenuse?
  2. 8
  3. 16
  4. The figure below represents a rectangular prism.

What is the surface area of the prism?

  1. 160 cm2
  2. 180 cm2
  3. 300 cm2
  4. 320 cm2
  1. What type of triangle is always similar to another triangle of the same type?
  2. acute
  3. equiangular
  4. obtuse
  5. right

  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 cosine of?

  1. Circle A has a radius of 9 centimeters and the measure of is 60°.

What is the length of?

  1. cm
  2. cm
  3. cm
  4. cm
  1. Circle A has a radius of 8 centimeters.

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 6?
  2. is a diameter of circle Q as shown below.

If the measure of =, what is the measure of?

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive Geometry 2008–2009 Semester 2 Assessment — Released

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

DRAFT

  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 Geometry 2008–2009 Semester 2 Assessment — Released

Free Response

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

DRAFT

  1. Draw and label a triangle, a parallelogram, and a trapezoid, each with an area of 36 square units. Label all dimensions needed to find the area, with appropriate numerical values.

2008–20091GO ON

ClarkCountySchool DistrictRevised 07/22/2009

Intuitive Geometry 2008–2009 Semester 2 Assessment — Released

Free Response

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

DRAFT

  1. ∆ABC is a right triangle with B as the right angle. AB = 8 and BC = 4.
  2. Sketch and label a diagram.
  1. Show all steps to find the length of the missing side.
  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 Geometry 2008–2009 Semester 2 Assessment — Released

Free Response

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

DRAFT

a = ______

b = ______

c = ______

d = ______

e = ______

f = ______

2008–20091

ClarkCountySchool DistrictRevised 07/22/2009