Multiple Choice Identify the
choice that best completes the statement or answers the question.


1.

The measures of some angles are given in the figure.
What is the value of
x?


2.

The figure shows line l intersecting lines r and
s.
In the figure, Ð1 and
Ð2 are —
a.  alternate interior angles  b.  alternate exterior angles  c.  corresponding
angles  d.  consecutive interior angles 


3.

The Department of Transportation wants to extend the intersecting road across
the highway, as indicated by the dotted line.
What should x be to ensure that the
intersecting road and the new construction form a straight line?


4.

The polygon shown is convex.The
sum of its interior angle measures is —
a.  900°  b.  1,260°  c.  1,620°  d.  2,520° 


5.

Which statement would be sufficient to prove that line l is parallel
to line m?
a.  AC ^ m  b.  AB ^ l  c.  AC ^
l  d.  AB ^ AC 


6.

In this diagram, line d cuts three lines to form the angles
shown.
Which two lines are parallel?
a.  a and b  b.  a and c  c.  b and
c  d.  No lines are parallel. 


7.

Quadrilateral QRST is placed on a coordinate grid as
shown.
What coordinates for S make QRST a
parallelogram?
a.  (8, 6)  b.  (8, 10)  c.  (12, 6)
 d.  (12, 10) 


8.

Which condition will guarantee that line l is parallel to line
m?
a.  Ð1 @
Ð3  b.  Ð1 @
Ð6  c.  Ð6 @
Ð5  d.  Ð3 @
Ð5 


9.

The drawing shows a compass and straightedge construction of
—
a.  a perpendicular to a given line from a point not on the line  b.  a perpendicular to a
given line at a point on the line  c.  the bisector of a given angle
 d.  an angle congruent to a given angle 


10.

Which point would be on a line perpendicular to l through
T?


11.

To which point should a line segment from A be drawn so that the
resulting figure is a rectangle?


12.

DXYZ is similar to DSTR. XY = 6 and ST = 12. If the perimeter of DSTR is 38, then what is the perimeter of DXYZ?


13.

Let p
represent
and let q
represent
z is a rational number. Which is a representation of the statement
below?
If , then z is not a rational
number.
a.  ~p ® ~q  b.  p ® q  c.  p ®
~q  d.  ~q ® ~p 


14.

According to the Venn diagram, which statement is
true?
a.  All isosceles triangles are also equilateral triangles.  b.  All equilateral
triangles are also isosceles triangles.  c.  Some equilateral triangles are also isosceles
triangles.  d.  No isosceles triangles are equilateral triangles 


15.

Which of the following statements represents a valid argument?
a.  If a > b and a > c, then b >
c.  b.  If a > b and b > c, then a >
c.  c.  If a < b and a < c, then c <
b.  d.  If a > b and a > c, then a > b +
c. 


16.

Given
Which is a true proportion?


17.

Given : AD and BC intersect at
X
AX =
XB CX = XD
Which congruency statement is true?


18.

Which list could not be the measures of lengths of the three sides of
a given triangle?
a.  5 cm, 12 cm, 15 cm  b.  2 ft, 6 ft, 5 ft  c.  11 mi, 4 mi, 12
mi  d.  12 yd, 35 yd, 20 yd 


19.

In the drawing of triangle XYZ, which angle has the least
measure?
a.  All angles have the same measure.  b.  ÐXYZ  c.  ÐZXY  d.  ÐXZY 


20.

If m ÐA = 65°, m ÐB = 15°, m ÐC = 100°, which lists the sides of the triangle in order from shortest to
longest?
a.  AC, AB, BC  b.  BA, BC, AC  c.  BA, AC,
BC  d.  AC, BC, BA 


21.

A windlass is used to pull a boat to the dock. The rope is attached to the
boat at a point 7 feet below the level of the
windlass.
What is the distance from the boat to the dock when the rope is
25 feet?
a.  25 ft  b.  24
ft  c.  18 ft  d.  7 ft 


22.

The parallelogram has the measurements
shown.
Which is closest to the length of the altitude,
h?
a.  19.63  b.  8.91  c.  8.67  d.  6.81 


23.

For the triangle represented by the drawing below, what is the length of
XZ?


24.

In rectangle ABCD, which of the following pairs of segments are not
necessarily
congruent?
a.  BD and AC  b.  AB and CD  c.  BC and DC
 d.  BE and
CE 


25.

The town plaza in a certain town is a parallelogram. The town’s
planning committee has decided to build a fountain at the center of the plaza. This sketch shows the
corner points when placed on a coordinate
grid.
Which coordinates show where the fountain will be
located?
a.  (2, 0.5)  b.  (0.5, 2)  c.  (3,
1.5)  d.  (1.5, 1) 


26.

Quadrilateral ABCD is a parallelogram.
Which of the following must be
true?
a.  AB @ AD  b.  AC @ BD  c.  ÐA
@ ÐD  d.  ÐB
@ ÐD 


27.

ABCD is a
rhombus. What is the measure of ÐCBD?


28.

If each interior angle of a regular polygon measures 120°, how many sides does the polygon have?


29.

Which angle measure below is not a possible measure of an exterior
angle of a regular polygon?


30.

In the figure, what is the measure of ÐC?


31.

TV is a diameter of circle
Z.
What is the value of x?


32.

If AP = 8 and PC = 4, what is the measure of AB, the
diameter of this circle?


33.

TW is a diameter of circle X, and TW is parallel to
UV.
If the measure of arc TU is 25,
what is the degree measure of arc UV?


34.

This is a scale drawing of a tent where 1 centimeter represents 0.5
meter.
What is the height of the tent at its
highest point?


35.

Which represents a twodimensional view from directly above the
figure?


36.

To the nearest gallon, what is the volume of a cylindrical water heater 1.4
feet in diameter and 4 feet tall? (1 cubic foot = 7.48 gallons)
a.  34 gal  b.  46 gal  c.  59
gal  d.  132 gal 


37.

A spherical paintball measures 1.5 centimeters in diameter. Approximately how
much paint is in it?
a.  1.77 cm^{3}  b.  7.07 cm^{3}  c.  9.42
cm^{3}  d.  14.13 cm^{3} 


38.

Which proportion can be used to find the value of PR if DXMQ is similar to DPRS?


39.

When standing upright, Gary knows his eyes are 6 feet above ground level. To
determine the depth of a well, he stands in the position shown.
Using the given measures, how deep is the
well?
a.  12 ft.  b.  14 ft.  c.  16
ft.  d.  18 ft. 


40.

The coordinates of the midpoint of AB are
—
a.  (5, 3)  b.  (5, 3)  c.  (2,
5)  d.  (2, 5) 


41.

Parallelogram ABCD is placed on a coordinate grid as shown.
What is the approximate length of
diagonal AC?
a.  3.0 units  b.  5.4 units  c.  9.0
units  d.  10.6 units 


42.

Triangle A¢B¢C¢ is —
a.  a translation of triangle ABC across the yaxis  b.  a 90° clockwise rotation of triangle ABC about the
origin  c.  a reflection of triangle ABC across the yaxis  d.  a reflection of
triangle ABC across the xaxis 


43.

How many different lines of symmetry does a square have?


44.

Which is most likely the slope of the line graphed?


45.

Hexagon ABCDEF is apparently symmetric with respect to
—
a.  point P only  b.  line m only  c.  line l
only  d.  both lines l and m only 
