Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Which figure shows one point?
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2.
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Which names describe the line? 
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3.
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The floors in an apartment building belong to different ____.
a. | rays | b. | segments | c. | planes | d. | points |
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4.
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Use the diagram.  and 
_____.  a. | will intersect | c. | are parallel | b. | have point C in
common | d. | will never
meet |
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5.
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Find the measure of ÐAEB for
mÐBEC = 127  . 
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6.
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Find the measure of ÐAED for
mÐBEC = 96  . 
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7.
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Name two angles adjacent to  . 
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In the diagram a || b. Use the diagram to answer the
question.
(Diagram not to scale.)
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8.
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Name the corresponding angle to  5.
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9.
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Name the alternate interior angle to  7.
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10.
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11.
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In the figure,  . Find the measure of  . 
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12.
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Classify the triangle by its sides and angles.  | not drawn to scale | |
a. | equilateral, acute | c. | equilateral, right | b. | scalene, right | d. | isosceles,
acute |
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13.
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Classify the triangle with sides of length 6 inches, 8 inches, and 3
inches.
a. | equilateral | b. | isosceles | c. | straight | d. | scalene |
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14.
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Classify the triangle with angles measuring 113  , 47  , and 20  . a. | right | b. | straight | c. | obtuse | d. | acute |
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Name all the quadrilaterals that have the given property.
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15.
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two pairs of parallel sides and all angles congruent
a. | trapezoid | c. | rhombus, square | b. | rectangle, square | d. | rhombus |
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16.
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four 90  angles a. | rectangle, square | c. | rhombus, square | b. | parallelogram | d. | rhombus |
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17.
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four congruent sides and four congruent angles
a. | rectangle, square | c. | rhombus, square | b. | rhombus | d. | square |
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18.
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David designs floor tiles. His latest design is shaped as a regular pentagon.
Write a formula for the perimeter of the tile in terms of the length of a side. Evaluate the formula
for the side length of 3 inches.
a. | P = 5s; 15 inches | c. | P = 5 + s; 9
inches | b. | P = 5 + s; 8 inches | d. | P = 5s; 18
inches |
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19.
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Four points are placed on a circle. How many segments will it take to connect
each point to every other point?  a. | 3 segments | b. | 4 segments | c. | 6 segments | d. | 8
segments |
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20.
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Draw a rectangle that is 4 centimeters by 8 centimeters. Connect two opposite
vertices to form two triangles of the same size and shape within the rectangle. Classify the
triangles by sides and angles.
a. | scalene, right | c. | isosceles, right | b. | scalene, acute | d. | isosceles,
acute |
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In the figures,  .
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21.
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Name the congruent angles.
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22.
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Name the congruent sides.
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23.
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If CD = 26 mm, what is XY?
a. | 28 mm | b. | 25 mm | c. | 4 mm | d. | 26
mm |
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24.
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In the floor tile pattern, the figure is a square and the two triangles are
congruent. What is the length of  ?  a. | 5 in. | b. | 20 in. | c. | 10 in. | d. | 7.1
in. |
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Write a congruence statement for the pair of triangles.
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25.
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a. |  by ASA | c. |  by
SAS | b. |  by SAS | d. |  by
ASA |
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26.
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The diagram shows the dimensions of a triangular garden at the park. If another
triangular garden spot is congruent to this triangle, what is the perimeter of the other
garden?  a. | 84 feet | b. | 51 feet | c. | 88 feet | d. | 129
feet |
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Find the circumference of the circle. Use p
» 3.14.
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27.
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a. | 21.98 cm | b. | 38 cm | c. | 7 cm | d. | 3.5
cm |
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Find the circumference of the circle with the given radius or diameter. Use
p » 3.14.
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28.
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radius = 30 cm
a. | 188.4 cm | b. | 94.2 cm | c. | 2,826 cm | d. | 11,304
cm |
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29.
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diameter = 10 cm
a. | 31.4 cm | b. | 78.5 cm | c. | 314 cm | d. | 15.7
cm |
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Students on a field trip at an amusement park were asked their grade in
school. The table shows the results of the survey.
Grade | Number of
Students | 4th | 45 | 5th | 25 | 6th | 60 | 7th | 50 | 8th | 60 | 9th | 45 | | |
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30.
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Suppose you want to show the data in a circle graph. Find the measure of the
central angle for 5th grade. Round your answer to the nearest degree, if necessary.
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31.
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Find the measure of the central angle that you would draw to represent 67% in a
circle graph. Round your answer to the nearest degree.
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Graph the image of  for the
translation.
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32.
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1 unit to the right
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33.
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1 unit right and 5 units up
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34.
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Use arrow notation to describe the translation of point P(–5,
–4) to point P¢(–8, –7).
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35.
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Write a rule to describe the translation of  to  . 
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36.
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Write a description of the rule  . a. | translation 2 units to the right and 7 units up | b. | translation 2 units
to the right and 7 units down | c. | translation 2 units to the left and 7 units
up | d. | translation 2 units to the left and 7 units down |
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37.
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How many lines of symmetry does the figure have? 
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38.
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Ships at sea can send messages to one another using a code of flags. Diagrams of
some of the flags that the United States Navy uses are shown. How many flags have four lines of
symmetry? a. | 3 flags | b. | 4 flags | c. | 5 flags | d. | 6
flags |
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39.
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Graph  with vertices R(0, 4),
S(–5, –1), and T(3, –1) and its image after a reflection over
y = –2.
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40.
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Graph  with vertices R(1, 7),
S(–6, 3), and T(4, 4) and its image after a reflection over the
x-axis.
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41.
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Graph  with vertices R(3, 7),
S(–5, –2), and T(3, –5) and its image after a reflection over
x = –3.
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42.
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How many lines of symmetry does the figure have?  a. | 7 lines of symmetry | c. | 28 lines of symmetry | b. | 14 lines of symmetry | d. | infinitely many lines of
symmetry |
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43.
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Find the area of the rectangle. 
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44.
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The length of a rectangular room is 7.9 m and its width is 8.6 m. Find the area
of the room.
a. | 73.96 m2 | b. | 62.41 m2 | c. | 67.94 m2 | d. | 33
m2 |
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Find the area of the parallelogram.
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45.
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a. | 60 cm2 | b. | 216 cm2 | c. | 108 cm2 | d. | 72
cm2 |
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46.
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a. | 15.34 mi2 | b. | 24 mi2 | c. | 35.99 mi2 | d. | 15.86
mi2 |
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Find the area of the triangle.
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47.
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a. | 24 yd2 | b. | 12 yd2 | c. | 26 yd2 | d. | 36
yd2 |
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48.
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a. | 27 in.2 | b. | 13.5 in.2 | c. | 28.5 in.2 | d. | 14.25
in.2 |
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49.
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The Student Council is making six right triangular pennants to promote school
spirit. Each right triangle is 9 inches high and 2 feet long. In square feet, what is the total area
of the six pennants?
a. | 4.5 ft2 | b. | 9.0 ft2 | c. | 54.0 ft2 | d. | 108.0
ft2 |
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Find the exact area of the circle.
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50.
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a. | 9p in.2 | b. | 28p in.2 | c. | 9p in.2 | d. | 19p in.2 |
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51.
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Find the area of a circle with radius 8.1 m to the nearest square unit.
a. | 824 m2 | b. | 66 m2 | c. | 206 m2 | d. | 51
m2 |
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52.
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A field is to be fertilized at a cost of $0.08 per square yard. The rectangular
part of the field is 95 yards long and the diameter of each semicircle is 49 yards. Find the cost of
fertilizing the field. Use 3.14 for p.  a. | $3,923.87 | b. | $420.42 | c. | $975.53 | d. | $523.18 |
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53.
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The diagram shows a square of side 3 in. containing a circle of diameter 3 in.
To the nearest hundredth, what is the area of the shaded part of the figure? Use 3.14 for p.  a. | 0.48 in.2 | b. | 1.93 in.2 | c. | 4.03 in.2 | d. | 4.82
in.2 |
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54.
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Find the area of the figure to the nearest square unit.  a. | 74 cm2 | b. | 49 cm2 | c. | 37 cm2 | d. | 125
cm2 |
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55.
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Find the area of a triangle with a base of 8 m and a height of 6 m.
a. | 7 m2 | b. | 48 m2 | c. | 24 m2 | d. | 14
m2 |
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Short Answer
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56.
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Use the diagram.  a. Name three
points. b. Name four different segments. c. Write two other names for  . d. Name three different rays.
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57.
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Draw two parallel segments. Then draw a line that intersects the parallel
segments.
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Other
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58.
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Eric is making a graphics design on a coordinate plane. He graphed a pentagon
with vertices A(1, 0), B(4, 0), C(4, 2), D(2.5, 4), and E(1, 2).
Then he translated the pentagon 5 units left and 3 units up. a. Write the coordinates for the translated pentagon  .
Describe how you found the coordinates. b. Graph ABCDE and 
on the same coordinate plane. c. Describe a translation that would move ABCDE to
pentagon  located entirely in Quadrant
IV.
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59.
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Rachel is using the figure in designing a video game.  a. Copy the figure. Then reflect the figure over the line y =
x. b. Use your drawing from part a. Reflect the figure from part a
over the y-axis. c. Compare the original figure to the figure in part b.
Describe it as a rotation. d. If one point of the original
figure has coordinates (a, b), what will be the coordinates of the corresponding point
on the figure in part b? Explain your reasoning.
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