Exam 3
MA 202
Here are a few notes before you proceed. First, you may not use your book or notes or
calculators during the exam. If you have any questions during the exam, please raise your
hand, and I will come to you. Please organize your work neatly, and provide justifications for
your answers. The number in the parentheses next to each problem is how many points that
problem is worth. Have fun and good luck!
April 16, 2009
Name:
Problem
Points
Value
1
10
2
5
3
10
4
9
5
4
6
12
7
16
Total
66
Percentage
100
1
Exam 3
MA 202
1. (10) State and derive either the area formula for a trapezoid or the area formula for
a circle. Please provide a clearly labeled picture as part of your explanation, and use
complete sentences. You may use the area formulas for parallelograms, rectangles, and
triangles in your derivation.
2. (5) Fill in the blanks.
(a) 50.2 kg =
g
m
(b) 146.3 cm =
(c) 1 ft3 =
(d) 18 ft2 =
in3
yd2
(e) 60min =
1hr
2
Exam 3
MA 202
3. (a) (2) State the Pythagorean theorem as it corresponds to the triangle shown below.
(b) (8) Using clearly labeled illustrations and a written explanation in complete sentences,
prove the Pythagorean theorem. You may find the following pictures helpful.
3
Exam 3
MA 202
4. (9) At noon, Suzy accidentally let go of her balloon. It rose straight up in the air at a rate
of 3 mi/hr. She immediately began to run away in a straight line at a rate of 5 mi/hr. At
1:00, what was the distance between Suzy and her balloon? Be sure to state any theorems
or formulas you use, clearly give the meaning of any variable you use, and include units in
your final answer.
5. (4) Television sets are measured by the length of the diagonal of the rectangular screen.
How many times larger is the screen area of a 40 inch model than that of a 20 inch model?
Be sure to provide justification for your answer. You may assume that both televisions
are standard size televisions.
6. (a) (4) Name the four basic rigid motions.
i.
ii.
iii.
iv.
4
Exam 3
MA 202
(b) (4) Draw the image of the polygon pictured below under the transformation given by
the glide arrow and glide mirror shown below.
(c) (4) Calculate the area of polygon ABCDEFG assuming that the horizontal distance
between any two adjacent dots is 1 cm. Be sure to provide justification for your
answer, and include units in your final answer.
(d) (Bonus 3) Calculate the perimeter of polygon ABCDEFG assuming that the horizontal distance between any two adjacent dots is 1 cm. Be sure to include units in your
final answer.
5
Exam 3
MA 202
7. (a) (8) Recall that for a sphere with radius r, V = 34 πr3 and SA = 4πr2 . Find the surface
area and volume of a hemisphere with radius 2 in. Remember to include units in your
answers.
(b) (8) Find the volume and surface area of the right trapezoidal prism shown below.
Clearly indicate the formulas you use in your calcuations.
6