STANDARD 4 - GEOMETRY
1) The segment labeled "a" represents ________.
a) the height of the figure.
b) the slant height of the figure.
c) the lateral edge of the figure.
d) the base edge of the figure.
2) The figure at the right represents ________.
a) a triangular prism.
b) a rectangular-based prism.
c) a rectangular-based pyramid.
d) a triangular-based pyramid.
3) Calculate the total surface area of the cone. [ The formula is T =  rl+ r2]
a) 75 cm2
b) 75 cm2
c) 90 cm2
d) 114 cm2
4) Find the volume of the given cone above. [The formula is V = (1/3)  r2 h)]
a) 100 cm3
b) 144 cm 3
c) 150 cm 3
d) 300 cm 3
5) Which side of the triangle is the longest?
a) side a
b) side b
c) side c
d) not enough information
6) If x represents the length of the third side of the triangle shown, which of the following is not a possible value for x ?
a) 30 feet
b) 24 feet
c) 12 feet
d) 6 feet
7) Of the following choices, which is the largest diameter of a round table top that could fit through the door shown?
a) 10.1 feet
b) 7.2 feet
c) 6.9 feet
d) 4.8 feet
8) How tall is a tree that casts a shadow 10 feet long at the same time that a person who is 6 feet tall casts a shadow 4 feet long ?
a) 12 feet
b) 8 feet
c) 15 feet
d) 6 feet 8 inches
9) Which of the following nets could not be folded to create a cube?
10) Find the midpoint of the diagonal of the square.
a) (3,-3)
b) (-3,3)
c) (3,3)
d) (-3,-3)
11) In a city, streets run North-South and avenues run East West. A retail store has two outlets. One is located at the
intersection of 1st Avenue and 2nd Street. The other is located at the intersection of 7th Avenue and 6th Street.
Determine an intersection that is located approximately halfway between the two stores.
a) 1st Ave. and 6th St.
b) 7th Ave. and 2nd St.
c) 4th Ave. and 4th St.
d) none of the above
12) Determine the surface area of the glass contained in the Norman window shown. The window consists of a
rectangle with a semicircle on top of it. (Recall that the formula for the area of a circle is A = r2 and the formula for
the area of a rectangle is A = lw.)
a) 24 + 9 square feet
b) 24 + 6 square feet
c) 24 + 4.5 square feet
d) 24 + 12 square feet
13) Triangle ABC is a right triangle. The measure of angle 1 is:
a)
30°
b)
60°
c)
120°
d)
150°
14) Refer to Triangle ABC in problem #13. The measure of angle 2 is:
a) 30°
b) 60°
c) 120°
d) 150°
15) The parabola shown is symmetric about
a) the y-axis
b) the x-axis
c) the origin
d) both the origin and the y-axis
16) If triangle ABC is reflected over the y-axis, then the coordinates of the image of A are:
a) (- 4,0)
b) (0,4)
c) (0,- 4)
d) (4,4)
17) If point A with coordinates (-7, -2) is translated 5 units to the right, the coordinates of the image of A will be:
a) (2,-2)
b) (-7,3)
c) (-2,-2)
d) (-12,-2)
18) If triangle ABC with coordinates A(6,3), B(0,8), and C(0,3) is moved 2 units to the right and 1 unit down, the
area of the new triangle is:
a) 1/2 the area of triangle ABC
b) 2 times the area of triangle ABC
c) 1/3 the area of triangle ABC
d) the same area as triangle ABC
19) A rectangle measures 8 feet long and 6 feet wide. The area of a triangle with the same base and height is:
a) 48 square feet
b) 32 square feet
c) 24 square feet
d) 12 square feet
20) Given a cylinder and a cone with congruent bases and congruent heights, then the volume of the cone is
a) 1/2 the volume of the cylinder.
b) 1/3 the volume of the cylinder.
c) 1/4 the volume of the cylinder.
d) equal to the volume of the cylinder.
21) In circle O,
is called a(n) ________.
a) secant
b) tangent
c) arc
d) chord
22) In circle O, line BC (from item 21) is called a(n) ________.
a) secant
b) tangent
c) arc
d) chord
23) If quadrilateral ABCD is a square, which of the following is not true?
a)
||
b)

c) each of the four angles measure 90°
d)

24) Given that the equation of line m is y = 2x + 8, which of the following is possible for the equation of line q as shown?
a) y = 4x + 4
b) y = 3x + 9
c) y = 4x - 1
d) y = 5x + 8
25) Given quadrilateral ABCD with the given point coordinates: A(-2,-1), B(3,2), C(8,2), D(3,-1). Use the slope formula to determine which specific type
of quadrilateral it is.
a) parallelogram
b) trapezoid
c) rectangle
d) square
26) If triangle TOP is rotated about the y-axis, the figure formed would be a
a) cylinder
b) triangle
c) circle
d) cone
27) Triangle A’B’C’ represents what type of a transformation of triangle ABC?
a) reflection
b) translation
c) rotation about the origin
d) dilation
28) If the length and the width of a 2 inch by 3 inch photograph are doubled, the enlargement has an area that is
a) two times the original area.
b) three times the original area.
c) four times the original area.
d) five times the original area.
29) Given the triangles as marked, which of the following must be true? Justify your .
a)
b)
c)
d)
MSA 
GFL


MAS 
GFL
30) Which of the following shapes has exactly two lines of symmetry?
31) If
is parallel to
, what is the measure of
ABE?
a) 32°b)
98°c) 58°d)
82 °
32) Which statement is true about the graphs of the given equations?
2x - 6y = 18
- 4y = 12x - 8
a) The lines coincide.
b) The lines are parallel.
c) The lines are perpendicular.
d) The lines are oblique.
33) Sketch each of the following. Be sure to indicate the hidden edges with dashes.
a) rectangular prism
b) a square pyramid
c) a hexagonal pyramid
d) a cone
e) a cylinder
f) a sphere